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Social optimality in quantum Bayesian games

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  • Iqbal, Azhar
  • Chappell, James M.
  • Abbott, Derek

Abstract

A significant aspect of the study of quantum strategies is the exploration of the game-theoretic solution concept of the Nash equilibrium in relation to the quantization of a game. Pareto optimality is a refinement on the set of Nash equilibria. A refinement on the set of Pareto optimal outcomes is known as social optimality in which the sum of players’ payoffs is maximized. This paper analyzes social optimality in a Bayesian game that uses the setting of generalized Einstein–Podolsky–Rosen experiments for its physical implementation. We show that for the quantum Bayesian game a direct connection appears between the violation of Bell’s inequality and the social optimal outcome of the game and that it attains a superior socially optimal outcome.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:798-805
    DOI: 10.1016/j.physa.2015.05.020
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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.
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    6. Li, Qiang & Iqbal, Azhar & Chen, Minyou & Abbott, Derek, 2012. "Quantum strategies win in a defector-dominated population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3316-3322.
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