Quantum advice enhances social optimality in three-party conflicting interest games
A significant aspect of the study of quantum strategies is the exploration of the gametheoretic solution concept of theNash 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. © 2015 Elsevier B.V. All rights reserved.