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Collective quantum games with Werner-like states

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  • Alonso-Sanz, Ramón

Abstract

This article studies the collective behaviour of quantum games with Werner-like states, where every player interacts with four partners and four mates. Four two-person game-types are scrutinized by allowing the players to adopt the strategy of his best paid mate. Particular attention is paid in the study to the effect of variable degree of entanglement and fidelity to the quantum model on Nash equilibrium strategy pairs.

Suggested Citation

  • Alonso-Sanz, Ramón, 2018. "Collective quantum games with Werner-like states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 812-827.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:812-827
    DOI: 10.1016/j.physa.2018.07.022
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    References listed on IDEAS

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    1. Qiang Li & Azhar Iqbal & Matjaž Perc & Minyou Chen & Derek Abbott, 2013. "Coevolution of Quantum and Classical Strategies on Evolving Random Networks," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-10, July.
    2. Binmore, Ken, 2007. "Game Theory: A Very Short Introduction," OUP Catalogue, Oxford University Press, number 9780199218462.
    3. Ken Binmore, 1998. "Game Theory and the Social Contract - Vol. 2: Just Playing," MIT Press Books, The MIT Press, edition 1, volume 2, number 0262024446, April.
    4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    5. David K Levine, 2005. "Quantum Games Have No News For Economics," Levine's Working Paper Archive 618897000000001000, David K. Levine.
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    Cited by:

    1. Alonso-Sanz, Ramón, 2019. "Simulation of the quantum Cournot duopoly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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    Keywords

    Collective; Quantum; Werner; Games;
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