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Social optimality in quantum Bayesian games

arXiv
Authors: Azhar Iqbal, James M. Chappell, Derek Abbott

Year

2014

Paper ID

45780

Status

Preprint

Abstract Read

~2 min

Abstract Words

119

Citations

N/A

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 are 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.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • 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.

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