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Fixed point theorem for simple quantum strategies in quantum market games

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  • Edward W. Piotrowski

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Abstract

A simple but nontrivial class of the quantum strategies in buying-selling games is presented. The player moves are a rational buying and an unconditional selling. The possibility of gaining extremal profits in such the games is considered. The entangled merchants hypothesis is proposed.

Suggested Citation

  • 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.
  • Handle: RePEc:sla:eakjkl:13
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    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/13.pdf
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    References listed on IDEAS

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    1. Piotrowski, E.W & Sładkowski, J, 2002. "Quantum market games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 208-216.
    2. 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.
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    Cited by:

    1. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, "undated". "Reinforcement Learning in Market Games," Departmental Working Papers 30, University of Bialtystok, Department of Theoretical Physics.
    2. 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.
    3. Edward W. Piotrowski, "undated". "Quantum Mind. A sketch (in Polish)," Departmental Working Papers 120pl, University of Bialtystok, Department of Theoretical Physics.
    4. 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.
    5. Edward W. Piotrowski & Jan Sladkowski & Anna Szczypinska, 2007. "Reinforcement learning in market games," Papers 0710.0114, arXiv.org.
    6. 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.

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