# Publications

## by members of

# Ekonofizyka

Uniwersytet Slaski

Katowice, Poland

## (Econophysics, University of Silesia))

These are publications listed in RePEc written by members of the above institution who are registered with the RePEc Author Service. Thus this compiles the works all those currently affiliated with this institutions, not those affilated at the time of publication. List of registered members. Register yourself. This page is updated in the first days of each month.| Working papers | Journal articles |

### Working papers

Undated material is listed at the end#### 2015

- 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.
"
- 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.

#### 2008

- 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. - 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.
"
- Anna Szczypinska & Edward W. Piotrowski, 2008.
"
**Deterministic definition of the capital risk**," Papers 0805.3129, arXiv.org. - Edward W. Piotrowski & Jan Sladkowski, 2008.
"
**A model of subjective supply-demand: the maximum Boltzmann/Shannon entropy solution**," Papers 0811.2084, arXiv.org.

#### 2007

- 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.
"
- 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 & Jan Sladkowski & Anna Szczypinska, 2007.
"
**Reinforcement learning in market games**," Papers 0710.0114, arXiv.org.

#### 2006

- 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 & 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, 05.

- E. W. Piotrowski & M. Schroeder, 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.
"

#### Undated

- Edward W. Piotrowski & Jan Sladkowski, .
"
**The Merchandising Mathematician Model. Stochastic Demand and Supply**," Departmental Working Papers 1, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**Quantum solution to the Newcomb's paradox**," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, .
"
**Interests Instead of Pseudointerest (in Polish)**," Departmental Working Papers 100pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**On the Logarithm (in Polish)**," Departmental Working Papers 101pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**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, .
"
**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. - Andrzej Karpio & Edward W. Piotrowski, .
"
**Instantenuous Interests Rate (in Polish)**," Departmental Working Papers 104pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Geometry of a Financial Market (in Polish)**," Departmental Working Papers 106pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Intensity of Profit. The Rational Dealer Model (in Polish)**," Departmental Working Papers 107pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Credit Algera (in Polish)**," Departmental Working Papers 108pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Matrix Rate of Return (in Polish)**," Departmental Working Papers 109pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Jacek Syska, .
"
**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, .
"
**The Donkey and Cat's Dilemmas (in Polish)**," Departmental Working Papers 110pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Operator Rate of Return: Classical Applications (in Polish)**," Departmental Working Papers 111pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**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, .
"
**The Hyperrate of Return (in Polish)**," Departmental Working Papers 113pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Attainability of an Financial Instrument and Financial Risk (in Polish)**," Departmental Working Papers 114pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**The Comparative Statistcs a la Thermodynamique. An Introduction (in Polish)**," Departmental Working Papers 115pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**Zombies and Gamblers. Canonical Ensembles of Protfolios (in Polish)**," Departmental Working Papers 116pl, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, .
"
**Risk in Quantum Market Games (in Polish)**," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**Righteous Secondary School Candidates Selection Is Possible (in Polish)**," Departmental Working Papers 118pl, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski & Edward W. Piotrowski, .
"
**Arbitrage Risk Implied by Brokerage (in Polish)**," Departmental Working Papers 119pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**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, .
"
**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 & Jan Sladkowski, .
"
**An Invitation to Quantum Game Theory**," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**Quantum Computer: An Appliance for Playing Market Games**," Departmental Working Papers 16, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**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 & Jan Sladkowski, .
"
**The Next Stage: Quantum Game Theory**," Departmental Working Papers 18, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**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, .
"
**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 & Jan Sladkowski, .
"
**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 & Jan Sladkowski, .
"
**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 & Jan Sladkowski, .
"
**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.
"
- Edward W. Piotrowski & Jan Sladkowski, .
"
**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, .
"
**Dualities and Value of Capital (book in Polish)**," Departmental Working Papers 69pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**The Astumian's Paradox**," Departmental Working Papers 7, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**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, .
"
**Trading by Quantum Rules - Quantum Anthropic Principle**," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, .
"
**Stock Exchange Transactions and Ising Model (in Polish)**," Departmental Working Papers 97pl, University of Bialtystok, Department of Theoretical Physics. - Andrzej Karpio & Edward W. Piotrowski, .
"
**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, .
"
**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, .
"
**Quantum Game Theory in Finance**," Departmental Working Papers 19, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**Quantum Mind. A sketch (in Polish)**," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Marcin Makowski, .
"
**Cat's Dilemma**," Departmental Working Papers 20, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski, .
"
**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, .
"
**Quantization of Games: Towards Quantum Artificial Intelligence**," Departmental Working Papers 21, University of Bialtystok, Department of Theoretical Physics. - Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, .
"
**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, .
"
**Quantum Games and Programmable Quantum Systems**," Departmental Working Papers 22, University of Bialtystok, Department of Theoretical Physics. - Anna Zambrzycka & Edward W. Piotrowski, .
"
**The Matrix Rate of Return**," Departmental Working Papers 25, University of Bialtystok, Department of Theoretical Physics. - Marcin Makowski & Edward W. Piotrowski, .
"
**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, .
"
**Geometry of Financial Markets - Towards Information Theory Model of Markets**," Departmental Working Papers 26, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Malgorzata Schroeder, .
"
**Kelly Criterion Revisited: Optimal Bets**," Departmental Working Papers 24, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**Quantum Transmemetic Intelligence**," Departmental Working Papers 27, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, .
"
**Reinforcement Learning in Market Games**," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics. - Anna Szczypinska & Edward W. Piotrowski, .
"
**Projective Market Model Approach to AHP Decision-Making**," Departmental Working Papers 32, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jan Sladkowski, .
"
**Quantum Auctions: Facts and Myths**," Departmental Working Papers 29, University of Bialtystok, Department of Theoretical Physics. - Edward W. Piotrowski & Jerzy Luczka, .
"
**The relativistic velocity addition law optimizes a forecast gambler's profit**," Departmental Working Papers 31, University of Bialtystok, Department of Theoretical Physics. - Jan Sladkowski, .
"
**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, .
"
**Financial Engeneering (in Polish)**," Departmental Working Papers 122pl, University of Bialtystok, Department of Theoretical Physics. - Marek Lukaszewski & Jan Sladkowski, .
"
**Financial Instruments (in Polish)**," Departmental Working Papers 123pl, University of Bialtystok, Department of Theoretical Physics. - Marek Lukaszewski & Jan Sladkowski, .
"
**Financial Markets (in Polish)**," Departmental Working Papers 124pl, University of Bialtystok, Department of Theoretical Physics.

### Journal articles

#### 2015

- 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.
"

#### 2014

- 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.

#### 2013

- Pawela, Łukasz & Sładkowski, Jan, 2013.
"
**Quantum Prisoner’s Dilemma game on hypergraph networks**," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 910-917.

#### 2010

- 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.

#### 2009

- 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.
"

#### 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.
"

#### 2007

- 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, .
"
**Universality of Measurements on Quantum Markets**," Departmental Working Papers 23, University of Bialtystok, Department of Theoretical Physics.

- Ireneusz Pakula & Edward W. Piotrowski & Jan Sladkowski, .
"
- 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.
"
- 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, 05.- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
**Kelly Criterion revisited: optimal bets**," Papers physics/0607166, arXiv.org.

- Edward W. Piotrowski & Malgorzata Schroeder, 2006.
"
- 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.
"

#### 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.

#### 2005

- 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, .
"
**Quantum diffusion of prices and profits**," Departmental Working Papers 12, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, .
"

#### 2004

- 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, .
"
**Arbitrage Risk Induced by Transaction Costs**," Departmental Working Papers 17, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, .
"

#### 2003

- 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, .
"
**Quantum English Auctions**," Departmental Working Papers 6, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, .
"
- 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 & 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, .
"
**Interference of quantum market strategies**," Departmental Working Papers 11, University of Bialtystok, Department of Theoretical Physics.

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

- Jan Sladkowski, .
"

#### 2002

- 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, .
"
**Quantum Bargaining Games**," Departmental Working Papers 5, University of Bialtystok, Department of Theoretical Physics.

- Edward W. Piotrowski & Jan Sladkowski, .
"
- 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, .
"
**Quantum Market Games**," Departmental Working Papers 3, University of Bialtystok, Department of Theoretical Physics.

- E. W. Piotrowski & J. Sladkowski, 2001.
"

#### 2001

- Piotrowski, E.W. & Sładkowski, J., 2001.
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**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, .
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**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, .
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#### 1983

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