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Quantum-Like Approach to Financial Risk: Quantum Anthropic Principle

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  • Edward W. Piotrowski
  • Jan Sladkowski

Abstract

We continue the analysis of quantum-like description of market phenomena and economics. We show that it is possible to define a risk inclination operator acting in some Hilbert space that has a lot of common with quantum description of the harmonic oscillator. The approach has roots in the recently developed quantum game theory and quantum computing. A quantum anthropic principle is formulated. (final version published in Acta Phys.Pol.B,32(2001)3873-3879)

Suggested Citation

  • 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.
    • Handle: RePEc:sla:eakjkl:8
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Sładkowski, Jan, 2003. "Giffen paradoxes in quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 234-240.
    6. Edward W. Piotrowski & Jan Sladkowski, "undated". "Trading by Quantum Rules - Quantum Anthropic Principle," Departmental Working Papers 9, University of Bialtystok, Department of Theoretical Physics.
    7. Edward Piotrowski & Jan Sładkowski, 2004. "Quantum games in finance," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 61-67.
    8. Edward W. Piotrowski & Jan Sladkowski, "undated". "Quantum solution to the Newcomb's paradox," Departmental Working Papers 10, University of Bialtystok, Department of Theoretical Physics.
    9. Carlos Pedro Gonc{c}alves, 2012. "Chaos and Nonlinear Dynamics in a Quantum Artificial Economy," Papers 1202.6647, arXiv.org.
    10. 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.
    11. Guevara Hidalgo, Esteban, 2006. "Quantum Replicator Dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 393-407.
    12. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    13. Will Hicks, 2019. "Closed Quantum Black-Scholes: Quantum Drift and the Heisenberg Equation of Motion," Papers 1911.11475, arXiv.org, revised Jan 2020.
    14. C. Gonçalves P., 2015. "Financial Market Modeling With Quantum Neural Networks," Review of Business and Economics Studies // Review of Business and Economics Studies, Финансовый Университет // Financial University, vol. 3(4), pages 44-63.
    15. Edward W. Piotrowski & Jan Sladkowski, "undated". "An Invitation to Quantum Game Theory," Departmental Working Papers 15, University of Bialtystok, Department of Theoretical Physics.
    16. Andrei Khrennikov, 2007. "Classical and quantum randomness and the financial market," Papers 0704.2865, arXiv.org.
    17. Chukiat Chaiboonsri & Satawat Wannapan, 2021. "Applying Quantum Mechanics for Extreme Value Prediction of VaR and ES in the ASEAN Stock Exchange," Economies, MDPI, vol. 9(1), pages 1-14, February.
    18. Jan Sladkowski & Edward W. Piotrowski, "undated". "Risk in Quantum Market Games (in Polish)," Departmental Working Papers 117pl, University of Bialtystok, Department of Theoretical Physics.

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