# Edward W. Piotrowski

## Personal Details

First Name: | Edward |

Middle Name: | W. |

Last Name: | Piotrowski |

Suffix: | |

RePEc Short-ID: | ppi16 |

http://alpha.uwb.edu.pl/ep/sj/index.shtml | |

## Affiliation

### Ekonofizyka

Uniwersytet Slaski

Katowice, Polandhttp://uranos.cto.us.edu.pl/~ekonofiz/

: (+48)322588431

(+48)322588431

Institute of Physics, Uniwersytecka 4, Pl-40007 Katowice

RePEc:edi:epslapl (more details at EDIRC)

## Research output

Jump to: Working papers Articles### Working papers

- Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org. - Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle**," Papers 1504.07604, arXiv.org.- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
**Generalization of the Aoki–Yoshikawa sectoral productivity model based on extreme physical information principle**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 161-172.

- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Deterministic definition of the capital risk**," Papers 0805.3129, arXiv.org. - Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
- Edward W. Piotrowski & Jan Sladkowski, 2008.
"
**A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution**," Papers 0811.2084, arXiv.org. - Edward W. Piotrowski & Malgorzata Schroeder & Anna Szczypinska, 2008.
"
**The price of bond and European option on bond without credit risk. Classical look and its quantum extension**," Papers 0803.4282, arXiv.org. - E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.

- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.- E. W. Piotrowski & M. Schroeder, 2007.
"
**Kelly criterion revisited: optimal bets**," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.

- E. W. Piotrowski & M. Schroeder, 2007.
"
- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
**The matrix rate of return**," Papers physics/0607175, arXiv.org.- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
**The matrix rate of return**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 347-353.

- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.

- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**What Was the Temperature of the Bagsik Financial Oscillator?**," Departmental Working Papers 4, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, E.W. & Sładkowski, J., 2001.
"
**What was the temperature of the Bagsik financial oscillator?**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 441-448.

- Piotrowski, E.W. & Sładkowski, J., 2001.
"
- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.

- Piotrowski, Edward W., 2003.
"
- Edward W. Piotrowski, "undated".
"
**The Operator Rate of Return: Classical Applications (in Polish)**," Departmental Working Papers 111pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Geometry of a Financial Market (in Polish)**," Departmental Working Papers 106pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Dualities and Value of Capital (book in Polish)**," Departmental Working Papers 69pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Market Games**," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, E.W & Sładkowski, J, 2002.
"
**Quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.

- E. W. Piotrowski & J. Sladkowski, 2001.
"
**Quantum Market Games**," Game Theory and Information 0103003, EconWPA.

- Piotrowski, E.W & Sładkowski, J, 2002.
"
- Edward W. Piotrowski, "undated".
"
**Zombies and Gamblers. Canonical Ensembles of Protfolios (in Polish)**," Departmental Working Papers 116pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Credit Algera (in Polish)**," Departmental Working Papers 108pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.

- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
- Edward W. Piotrowski, "undated".
"
**Problems with the Astumian's Paradox (in Polish)**," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Arbitrage Risk Implied by Brokerage (in Polish)**," Departmental Working Papers 119pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Price Ballance Paradox and the Optimal Assurance of Capital (in Polish)**," Departmental Working Papers 102pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Distibiution of Capital. The Withdrawal Price and The Power of Money (in Polish)**," Departmental Working Papers 103pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Astumian's Paradox**," Departmental Working Papers 7, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Thermodynamics of Portfolios**," Departmental Working Papers 2, University of Bialtystok, Department of Theoretical Physics.- E. W. Piotrowski & J. Sladkowski, 2000.
"
**The thermodynamics of portfolios**," Papers cond-mat/0011280, arXiv.org.

- E. W. Piotrowski & J. Sladkowski, 2000.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Computer: An Appliance for Playing Market Games**," Departmental Working Papers 16, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**On the Logarithm (in Polish)**," Departmental Working Papers 101pl, University of Bialtystok, Department of Theoretical Physics. - Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski, "undated".
"
**The Comparative Statistcs a la Thermodynamique. An Introduction (in Polish)**," Departmental Working Papers 115pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Attainability of an Financial Instrument and Financial Risk (in Polish)**," Departmental Working Papers 114pl, University of Bialtystok, Department of Theoretical Physics. - Anna Zambrzycka & Edward W. Piotrowski, "undated".
"
**The Matrix Rate of Return**," Departmental Working Papers 25, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Matrix Rate of Return (in Polish)**," Departmental Working Papers 109pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Intensity of Profit. The Rational Dealer Model (in Polish)**," Departmental Working Papers 107pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.

- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Merchandising Mathematician Model. Stochastic Demand and Supply**," Departmental Working Papers 1, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, "undated".
"
**Instantenuous Interests Rate (in Polish)**," Departmental Working Papers 104pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Donkey and Cat's Dilemmas (in Polish)**," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum English Auctions**," Departmental Working Papers 6, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
**Quantum English auctions**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 505-515.

- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**What Was the Temperature of the Bagsik Financial Oscillator? (in Polish)**," Departmental Working Papers 4pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Stochastic Representation of the Rate of Return Algebra (in Polish)**," Departmental Working Papers 112pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle**," Departmental Working Papers 8, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Geometry of Financial Markets - Towards Information Theory Model of Markets**," Departmental Working Papers 26, University of Bialtystok, Department of Theoretical Physics. - Marcin Makowski & Edward W. Piotrowski, "undated".
"
**Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game**," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, "undated".
"
**Stock Exchange Transactions and Ising Model (in Polish)**," Departmental Working Papers 97pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Marcin Makowski, "undated".
"
**Cat's Dilemma**," Departmental Working Papers 20, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Righteous Secondary School Candidates Selection Is Possible (in Polish)**," Departmental Working Papers 118pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.

- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Bargaining Games**," Departmental Working Papers 5, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
**Quantum bargaining games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.

- Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
- Andrzej Karpio & Edward W. Piotrowski, "undated".
"
**Interests Instead of Pseudointerest (in Polish)**," Departmental Working Papers 100pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Game Theory in Finance**," Departmental Working Papers 19, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, "undated".
"
**Optimalisation of Market Games with Complete Information (in Polish)**," Departmental Working Papers 98pl, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, "undated".
"
**Optimalisation of Market Games with Incomplete Information (in Polish)**," Departmental Working Papers 99pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Next Stage: Quantum Game Theory**," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Hyperrate of Return (in Polish)**," Departmental Working Papers 113pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Malgorzata Schroeder, "undated".
"
**Kelly Criterion Revisited: Optimal Bets**," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.

### Articles

- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
**Generalization of the Aoki–Yoshikawa sectoral productivity model based on extreme physical information principle**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 161-172.- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle**," Papers 1504.07604, arXiv.org.

- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
- Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563. - Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**When I cut, you choose method implies intransitivity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 189-193. - Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2010.
"
**Subjective modelling of supply and demand—the minimum of Fisher information solution**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4904-4912. - Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.

- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.

- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- E. W. Piotrowski & M. Schroeder, 2007.
"
**Kelly criterion revisited: optimal bets**," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.

- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
**The matrix rate of return**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 347-353.- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
**The matrix rate of return**," Papers physics/0607175, arXiv.org.

- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
- Piotrowski, Edward W. & Schroeder, Małgorzata & Zambrzycka, Anna, 2006.
"
**Quantum extension of European option pricing based on the Ornstein–Uhlenbeck process**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 176-182. - Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Edward Piotrowski & Jan Sładkowski, 2004.
"
**Quantum games in finance**," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67. - Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
**Quantum English auctions**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 505-515.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum English Auctions**," Departmental Working Papers 6, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Piotrowski, E.W. & Sładkowski, J., 2003.
"
**The merchandising mathematician model: profit intensities**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 496-504. - Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
**Quantum bargaining games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Bargaining Games**," Departmental Working Papers 5, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, E.W & Sładkowski, J, 2002.
"
**Quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.- E. W. Piotrowski & J. Sladkowski, 2001.
"
**Quantum Market Games**," Game Theory and Information 0103003, EconWPA. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Market Games**," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2001.
"
- Piotrowski, E.W. & Sładkowski, J., 2001.
"
**What was the temperature of the Bagsik financial oscillator?**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 441-448.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**What Was the Temperature of the Bagsik Financial Oscillator?**," Departmental Working Papers 4, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward, 1983.
"
**Spin systems in contact with thermostat — kinetic model**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 135-144.

## Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.### Wikipedia mentions

(Only mentions on Wikipedia that link back to a page on a RePEc service)- Author Profile
- Edward W. Piotrowski in Wikipedia (English)

### Working papers

- Edward W. Piotrowski & Jan Sladkowski, 2008.
"
**A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution**," Papers 0811.2084, arXiv.org.Cited by:

- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**Generalization of the Aoki-Yoshikawa sectoral productivity model based on extreme physical information principle**," Papers 1504.07604, arXiv.org.- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
**Generalization of the Aoki–Yoshikawa sectoral productivity model based on extreme physical information principle**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 161-172.

- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
- Domino, Krzysztof, 2012.
"
**The use of the Hurst exponent to investigate the global maximum of the Warsaw Stock Exchange WIG20 index**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 156-169.

- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

Cited by:

- Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010.
"
**Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102. - Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016.
"
**A quantum derivation of a reputational risk premium**," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309. - Carlos Pedro Gonc{c}alves, 2011.
"
**Quantum Financial Economics - Risk and Returns**," Papers 1107.2562, arXiv.org, revised Jan 2012.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.

Cited by:

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- Wang, Jiang-Jiang & Jing, You-Yin & Zhang, Chun-Fa & Shi, Guo-Hua & Zhang, Xu-Tao, 2008.
"
**A fuzzy multi-criteria decision-making model for trigeneration system**," Energy Policy, Elsevier, vol. 36(10), pages 3823-3832, October. - Jing, You-Yin & Bai, He & Wang, Jiang-Jiang, 2012.
"
**A fuzzy multi-criteria decision-making model for CCHP systems driven by different energy sources**," Energy Policy, Elsevier, vol. 42(C), pages 286-296.

- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.- E. W. Piotrowski & M. Schroeder, 2007.
"
**Kelly criterion revisited: optimal bets**," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.

Cited by:

- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.

- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Dominic Cortis & Steve Hales & Frank Bezzina, 2013.
"
**Profiting On Inefficiencies In Betting Derivative Markets: The Case Of Uefa Euro 2012**," Journal of Gambling Business and Economics, University of Buckingham Press, vol. 7(1), pages 39-51. - Luo, Yong & Zhu, Bo & Tang, Yong, 2014.
"
**Simulated annealing algorithm for optimal capital growth**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 10-18.

- E. W. Piotrowski & M. Schroeder, 2007.
"
- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
**The matrix rate of return**," Papers physics/0607175, arXiv.org.- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
**The matrix rate of return**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 347-353.

Cited by:

- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.

- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"

- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.

Cited by:

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- F. Bagarello & E. Haven, 2014.
"
**Towards a formalization of a two traders market with information exchange**," Papers 1412.8725, arXiv.org. - Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"

- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**What Was the Temperature of the Bagsik Financial Oscillator?**," Departmental Working Papers 4, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, E.W. & Sładkowski, J., 2001.
"
**What was the temperature of the Bagsik financial oscillator?**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 441-448.

Cited by:

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.

- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"

- Piotrowski, E.W. & Sładkowski, J., 2001.
"
- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.

Cited by:

- Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
**Profit intensity and cases of non-compliance with the law of demand/supply**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org.

- Piotrowski, Edward W., 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Market Games**," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, E.W & Sładkowski, J, 2002.
"
**Quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.

- E. W. Piotrowski & J. Sladkowski, 2001.
"
**Quantum Market Games**," Game Theory and Information 0103003, EconWPA.

Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A Methodological Note**," Working Paper series 40_13, Rimini Centre for Economic Analysis.- Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A methodological note**," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 5(2), pages 177-189, December.

- Luca Lambertini, 2013.
"
- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski, "undated".
"
- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Guevara Hidalgo, Esteban, 2006.
"
**Quantum Replicator Dynamics**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 393-407. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010.
"
**Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102. - Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- F. Bagarello & E. Haven, 2014.
"
**Towards a formalization of a two traders market with information exchange**," Papers 1412.8725, arXiv.org. - Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Emmanuel Haven, 2008.
"
**Private Information and the ‘Information Function’: A Survey of Possible Uses**," Theory and Decision, Springer, vol. 64(2), pages 193-228, March. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Iqbal, Azhar & Chappell, James M. & Abbott, Derek, 2015.
"
**Social optimality in quantum Bayesian games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 798-805. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics. - Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016.
"
**A quantum derivation of a reputational risk premium**," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, E.W & Sładkowski, J, 2002.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.

Cited by:

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Domino, Krzysztof, 2012.
"
**The use of the Hurst exponent to investigate the global maximum of the Warsaw Stock Exchange WIG20 index**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 156-169. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Thermodynamics of Portfolios**," Departmental Working Papers 2, University of Bialtystok, Department of Theoretical Physics.- E. W. Piotrowski & J. Sladkowski, 2000.
"
**The thermodynamics of portfolios**," Papers cond-mat/0011280, arXiv.org.

Cited by:

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.

- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Merchandising Mathematician Model. Stochastic Demand and Supply**," Departmental Working Papers 1, University of Bialtystok, Department of Theoretical Physics. - Josip Stepanic, 2004.
"
**Social Equivalent of Free Energy**," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 2(1), pages 53-60. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Edward W. Piotrowski, "undated".
"
**Problems with the Astumian's Paradox (in Polish)**," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2000.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Computer: An Appliance for Playing Market Games**," Departmental Working Papers 16, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Anna Zambrzycka & Edward W. Piotrowski, "undated".
"
**The Matrix Rate of Return**," Departmental Working Papers 25, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"

- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.

Cited by:

- Zhang, Chao & Huang, Lu, 2010.
"
**A quantum model for the stock market**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5769-5775. - Shi, Leilei, 2006.
"
**Does security transaction volume–price behavior resemble a probability wave?**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 419-436. - Piotrowski, Edward W. & Schroeder, Małgorzata & Zambrzycka, Anna, 2006.
"
**Quantum extension of European option pricing based on the Ornstein–Uhlenbeck process**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 176-182. - F. Bagarello & E. Haven, 2014.
"
**The role of information in a two-traders market**," Papers 1402.6204, arXiv.org.- Bagarello, F. & Haven, E., 2014.
"
**The role of information in a two-traders market**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 224-233.

- Bagarello, F. & Haven, E., 2014.
"
- Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016.
"
**A quantum derivation of a reputational risk premium**," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309.

- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Merchandising Mathematician Model. Stochastic Demand and Supply**," Departmental Working Papers 1, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum English Auctions**," Departmental Working Papers 6, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
**Quantum English auctions**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 505-515.

Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Arfi, Badredine, 2007.
"
**Quantum social game theory**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 794-820. - Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A Methodological Note**," Working Paper series 40_13, Rimini Centre for Economic Analysis.- Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A methodological note**," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 5(2), pages 177-189, December.

- Luca Lambertini, 2013.
"
- Carlos Pedro Gonc{c}alves, 2012.
"
**Quantum Financial Economics of Games of Strategy and Financial Decisions**," Papers 1202.2080, arXiv.org. - Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2015.
"
**Quantum-like Models Cannot Account for the Conjunction Fallacy**," GREDEG Working Papers 2015-41, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis.- Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016.
"
**Quantum-like models cannot account for the conjunction fallacy**," Theory and Decision, Springer, vol. 81(4), pages 479-510, November. - Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016.
"
**Quantum-like models cannot account for the conjunction fallacy**," Post-Print halshs-01425806, HAL. - Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016.
"
**Quantum-like models cannot account for the conjunction fallacy**," Post-Print hal-01380684, HAL.

- Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - F. Bagarello & E. Haven, 2014.
"
**Towards a formalization of a two traders market with information exchange**," Papers 1412.8725, arXiv.org. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Emmanuel Haven, 2008.
"
**Private Information and the ‘Information Function’: A Survey of Possible Uses**," Theory and Decision, Springer, vol. 64(2), pages 193-228, March. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010.
"
**Doves and hawks in economics revisited: An evolutionary quantum game theory based analysis of financial crises**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5084-5102. - Carlos Pedro Gonc{c}alves, 2011.
"
**Quantum Financial Economics - Risk and Returns**," Papers 1107.2562, arXiv.org, revised Jan 2012.

- Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010.
"
- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jerzy Luczka, "undated".
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle**," Departmental Working Papers 8, University of Bialtystok, Department of Theoretical Physics.Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Carlos Pedro Gonc{c}alves, 2012.
"
**Chaos and Nonlinear Dynamics in a Quantum Artificial Economy**," Papers 1202.6647, arXiv.org. - Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Guevara Hidalgo, Esteban, 2006.
"
**Quantum Replicator Dynamics**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 393-407. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Andrei Khrennikov, 2007.
"
**Classical and quantum randomness and the financial market**," Papers 0704.2865, arXiv.org. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Geometry of Financial Markets - Towards Information Theory Model of Markets**," Departmental Working Papers 26, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 907-915.- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge**," Papers 0806.4876, arXiv.org, revised Nov 2008.

- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - E. W. Piotrowski & M. Schroeder, 2007.
"
**Kelly criterion revisited: optimal bets**," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.

- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
- Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics. - F. Bagarello & E. Haven, 2014.
"
**Towards a formalization of a two traders market with information exchange**," Papers 1412.8725, arXiv.org. - Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"

- Szczypińska, Anna & Piotrowski, Edward W., 2009.
"
- Marcin Makowski & Edward W. Piotrowski, "undated".
"
**Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game**," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics. - Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

- Anna Szczypinska & Edward W. Piotrowski, "undated".
"
- Edward W. Piotrowski & Marcin Makowski, "undated".
"
**Cat's Dilemma**," Departmental Working Papers 20, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Theodore Turocy, 2007.
"
**On the sufficiency of transitive preferences**," Economics Bulletin, AccessEcon, vol. 4(22), pages 1-9.

- Theodore Turocy, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.

Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Khrennikov, Andrei, 2008.
"
**Quantum-like microeconomics: Statistical model of distribution of investments and production**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5826-5843. - Guevara Hidalgo, Esteban, 2006.
"
**Quantum Replicator Dynamics**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 393-407. - Wesley Phoa & Sergio Focardi & Frank Fabozzi, 2007.
"
**How do conflicting theories about financial markets coexist?**," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 29(3), pages 363-391.- Wesley Phoa & Sergio Focardi & Frank Fabozzi, 2006.
"
**How do Conflicting Theories about Financial Markets Coexist?**," Yale School of Management Working Papers amz2445, Yale School of Management.

- Wesley Phoa & Sergio Focardi & Frank Fabozzi, 2006.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Bargaining Games**," Departmental Working Papers 5, University of Bialtystok, Department of Theoretical Physics.- Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
**Quantum bargaining games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.

Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563. - Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
**Profit intensity and cases of non-compliance with the law of demand/supply**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59. - Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Emmanuel Haven, 2008.
"
**Private Information and the ‘Information Function’: A Survey of Possible Uses**," Theory and Decision, Springer, vol. 64(2), pages 193-228, March. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org. - Jan Sladkowski & Edward W. Piotrowski, "undated".
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

- Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Game Theory in Finance**," Departmental Working Papers 19, University of Bialtystok, Department of Theoretical Physics.Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Hanauske, Matthias & Kunz, Jennifer & Bernius, Steffen & König, Wolfgang, 2010.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**The Next Stage: Quantum Game Theory**," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics.Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A Methodological Note**," Working Paper series 40_13, Rimini Centre for Economic Analysis.- Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A methodological note**," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 5(2), pages 177-189, December.

- Luca Lambertini, 2013.
"
- Badredine Arfi, 2005.
"
**Resolving the Trust Predicament: A Quantum Game-theoretic Approach**," Theory and Decision, Springer, vol. 59(2), pages 127-174, September. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**Problems with the Astumian's Paradox (in Polish)**," Departmental Working Papers 121pl, University of Bialtystok, Department of Theoretical Physics. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, "undated".
"
**The Donkey and Cat's Dilemmas (in Polish)**," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Marcin Makowski & Edward W. Piotrowski, "undated".
"
**Quantum Cat's Dilemma: an Example of Intransitivity in a Quantum Game**," Departmental Working Papers 28, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, 2008.
"
**A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution**," Papers 0811.2084, arXiv.org. - Edward W. Piotrowski, "undated".
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Edward W. Piotrowski & Malgorzata Schroeder, "undated".
"
**Kelly Criterion Revisited: Optimal Bets**," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Luo, Yong & Zhu, Bo & Tang, Yong, 2014.
"
**Simulated annealing algorithm for optimal capital growth**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 10-18.

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A Methodological Note**," Working Paper series 40_13, Rimini Centre for Economic Analysis.- Luca Lambertini, 2013.
"
**John von Neumann between Physics and Economics: A methodological note**," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 5(2), pages 177-189, December.

- Luca Lambertini, 2013.
"
- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Katarzyna Miakisz & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Emmanuel Haven, 2008.
"
**Private Information and the ‘Information Function’: A Survey of Possible Uses**," Theory and Decision, Springer, vol. 64(2), pages 193-228, March.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Edward W. Piotrowski & Jerzy Luczka, "undated".
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics.Cited by:

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated".
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007.
"

### Articles

- Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563.Cited by:

- Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
**Profit intensity and cases of non-compliance with the law of demand/supply**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59. - Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org.

- Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2010.
"
**Subjective modelling of supply and demand—the minimum of Fisher information solution**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4904-4912.Cited by:

- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"

- Bednarek, Ilona & Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2015.
"
- Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563. - Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
**Profit intensity and cases of non-compliance with the law of demand/supply**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59. - Domino, Krzysztof, 2012.
"
**The use of the Hurst exponent to investigate the global maximum of the Warsaw Stock Exchange WIG20 index**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 156-169. - Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org.

- Ilona Bednarek & Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
- Szczypińska, Anna & Piotrowski, Edward W., 2008.
"
**Projective market model approach to AHP decision making**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.See citations under working paper version above.- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
**Projective Market Model Approach to AHP Decision-Making**," Papers 0709.4358, arXiv.org, revised Nov 2007.

- Anna Szczypinska & Edward W. Piotrowski, 2007.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.See citations under working paper version above.- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Geometry of financial markets—Towards information theory model of markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 228-234.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
**Geometry of Financial Markets -- Towards Information Theory Model of Markets**," Papers physics/0607236, arXiv.org.

- Edward W. Piotrowski & Jan Sladkowski, 2006.
"
- E. W. Piotrowski & M. Schroeder, 2007.
"
**Kelly criterion revisited: optimal bets**," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 201-203, May.See citations under working paper version above.- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.

- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
- Zambrzycka, Anna & Piotrowski, Edward W., 2007.
"
**The matrix rate of return**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 347-353.See citations under working paper version above.- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
**The matrix rate of return**," Papers physics/0607175, arXiv.org.

- Anna Zambrzycka & Edward W. Piotrowski, 2006.
"
- Piotrowski, Edward W. & Schroeder, Małgorzata & Zambrzycka, Anna, 2006.
"
**Quantum extension of European option pricing based on the Ornstein–Uhlenbeck process**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 176-182.Cited by:

- L. Ingber, 2017.
"
**Quantum Path-Integral qPATHINT Algorithm**," Lester Ingber Papers 17qa, Lester Ingber. - L. Ingber, 2016.
"
**Path-integral quantum PATHTREE and PATHINT algorithms**," Lester Ingber Papers 16pi, Lester Ingber. - L. Ingber, 2017.
"
**Options on quantum money: Quantum path-integral with serial shocks**," Lester Ingber Papers 17oq, Lester Ingber. - Khrennikova, Polina, 2016.
"
**Application of quantum master equation for long-term prognosis of asset-prices**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 253-263. - L. Ingber, 2017.
"
**Evolution of regenerative Ca-ion wave-packet in neuronal-firing fields: Quantum path-integral with serial shocks**," Lester Ingber Papers 17qp, Lester Ingber. - Pineiro-Chousa, Juan & Vizcaíno-González, Marcos, 2016.
"
**A quantum derivation of a reputational risk premium**," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 304-309.

- L. Ingber, 2017.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Edward Piotrowski & Jan Sładkowski, 2004.
"
**Quantum games in finance**," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67.Cited by:

- Piotrowski, Edward W. & Schroeder, Małgorzata & Zambrzycka, Anna, 2006.
"
**Quantum extension of European option pricing based on the Ornstein–Uhlenbeck process**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 176-182.

- Piotrowski, Edward W. & Schroeder, Małgorzata & Zambrzycka, Anna, 2006.
"
- Piotrowski, Edward W & Sładkowski, Jan, 2004.
"
**Arbitrage risk induced by transaction costs**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 233-239.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2003.
"
**Quantum English auctions**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 505-515.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum English Auctions**," Departmental Working Papers 6, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.See citations under working paper version above.- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski, "undated".
"
- Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2003.
"
**Interference of quantum market strategies**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 516-528.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, "undated".
"
- Piotrowski, E.W. & Sładkowski, J., 2003.
"
**The merchandising mathematician model: profit intensities**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 496-504.Cited by:

- E. W. Piotrowski & J. Sladkowski, 2007.
"
**Quantum Auctions: Facts and Myths**," Papers 0709.4096, arXiv.org.- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
**Quantum auctions: Facts and myths**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3949-3953.

- Piotrowski, Edward W. & Sładkowski, Jan, 2008.
"
- Piotrowski, Edward W., 2003.
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 196-200.- Edward W. Piotrowski, "undated".
"
**Fixed point theorem for simple quantum strategies in quantum market games**," Departmental Working Papers 13, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski, "undated".
"
- Jankowski, Robert & Makowski, Marcin & Piotrowski, Edward W., 2014.
"
**Parameter estimation by fixed point of function of information processing intensity**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 558-563. - Wang, Yougui & Stanley, H.E., 2009.
"
**Statistical approach to partial equilibrium analysis**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1173-1180. - Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
**Universality of measurements on quantum markets**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 397-405.

- Pakuła, Ireneusz & Piotrowski, Edward W. & Sładkowski, Jan, 2007.
"
- Makowski, Marcin & Piotrowski, Edward W. & Sładkowski, Jan & Syska, Jacek, 2017.
"
**Profit intensity and cases of non-compliance with the law of demand/supply**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 53-59. - Piotrowski, Edward W. & Sładkowski, Jan, 2005.
"
**Quantum diffusion of prices and profits**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 185-195.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Marcin Makowski & Edward W. Piotrowski & Jan S{l}adkowski & Jacek Syska, 2015.
"
**The intensity of the random variable intercept in the sector of negative probabilities**," Papers 1503.07495, arXiv.org.

- E. W. Piotrowski & J. Sladkowski, 2007.
"
- Piotrowski, Edward W. & Sładkowski, Jan, 2002.
"
**Quantum bargaining games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 391-401.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Bargaining Games**," Departmental Working Papers 5, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, E.W & Sładkowski, J, 2002.
"
**Quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.See citations under working paper version above.- E. W. Piotrowski & J. Sladkowski, 2001.
"
**Quantum Market Games**," Game Theory and Information 0103003, EconWPA. - Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**Quantum Market Games**," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2001.
"
- Piotrowski, E.W. & Sładkowski, J., 2001.
"
**What was the temperature of the Bagsik financial oscillator?**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 441-448.See citations under working paper version above.- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
**What Was the Temperature of the Bagsik Financial Oscillator?**," Departmental Working Papers 4, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, "undated".
"
- Piotrowski, Edward, 1983.
"
**Spin systems in contact with thermostat — kinetic model**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 135-144.Cited by:

- Jan Sladkowski, "undated".
"
**Giffen paradoxes in quantum market games**," Departmental Working Papers 14, University of Bialtystok, Department of Theoretical Physics.- Sładkowski, Jan, 2003.
"
**Giffen paradoxes in quantum market games**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.

- Sładkowski, Jan, 2003.
"

- Jan Sladkowski, "undated".
"

## More information

Research fields, statistics, top rankings, if available.### Statistics

#### Access and download statistics for all items

### Rankings

This author is among the top 5% authors according to these criteria:### Featured entries

This author is featured on the following reading lists, publication compilations or Wikipedia entries:- Edward W. Piotrowski in Wikipedia (English)

### NEP Fields

NEP is an announcement service for new working papers, with a weekly report in each of many fields. This author has had 48 papers announced in NEP. These are the fields, ordered by number of announcements, along with their dates. If the author is listed in the directory of specialists for this field, a link is also provided.- NEP-FMK:
**Financial Markets**(8) 2001-05-02 2001-12-04 2002-01-22 2002-07-08 2003-02-24 2003-03-19 2006-09-16 2006-09-16. Author is listed - NEP-GTH:
**Game Theory**(8) 2002-03-04 2002-12-02 2003-02-24 2003-02-24 2003-05-08 2005-01-09 2005-04-09 2006-09-23. Author is listed - NEP-FIN:
**Finance**(7) 2001-05-02 2003-02-24 2004-06-22 2004-06-22 2004-08-09 2006-09-16 2006-09-16. Author is listed - NEP-CMP:
**Computational Economics**(6) 2001-08-15 2004-06-22 2004-06-22 2004-06-22 2005-01-09 2005-04-09. Author is listed - NEP-RMG: Risk Management (4) 2003-05-29 2004-08-09 2004-09-05 2006-09-16
- NEP-HPE: History & Philosophy of Economics (3) 2002-01-22 2004-08-09 2005-01-09
- NEP-KNM: Knowledge Management & Knowledge Economy (2) 2006-09-16 2006-09-23
- NEP-MIC: Microeconomics (2) 2001-08-15 2003-05-13
- NEP-CBA: Central Banking (1) 2006-09-16
- NEP-CFN: Corporate Finance (1) 2001-05-02
- NEP-EFF: Efficiency & Productivity (1) 2015-05-02
- NEP-EVO: Evolutionary Economics (1) 2004-06-22
- NEP-HIS: Business, Economic & Financial History (1) 2004-06-22
- NEP-IFN: International Finance (1) 2002-07-08
- NEP-LAB: Labour Economics (1) 2002-08-08

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