Bayesian Nash Equilibria and Bell Inequalities

Abstract

Games with incomplete information are formulated in a multi-sector probability matrix formalism that can cope with quantum as well as classical strategies. An analysis of classical and quantum strategy in a multi-sector extension of the game of Battle of Sexes clarifies the two distinct roles of nonlocal strategies, and establish the direct link between the true quantum gain of game's payoff and the breaking of Bell inequalities.

6 pages, LaTeX JPSJ 2 column format, changes in sections 1, 3 and 4, added references

References in corpus (11)

• Quantum Games and Quantum Strategies
• Quantum strategies
• Experimental realization of quantum games on a quantum computer
• Nash equilibria in quantum games with generalized two-parameter strategies
• Classical and Quantum Contents of Solvable Game Theory on Hilbert Space
• Experimental realization of a quantum game on a one-way quantum computer
• Hardy's nonlocality for generalized n-particle GHZ states
• Generalized Quantization Scheme for Two-Person Non-Zero-Sum Games
• Constructing quantum games from non-factorizable joint probabilities
• Altruistic Duality in Evolutionary Game Theory
• Altruistic Contents of Quantum Prisoner's Dilemma

Cited by in corpus (20)

• Bell nonlocality and Bayesian game theory
• Quantum games: a review of the history, current state, and interpretation
• Interference and inequality in quantum decision theory
• Experimental implementation of a four-player quantum game
• Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting
• Experimental investigation of enviroment--induced entanglement using an all--optical setup
• Constructing quantum games from a system of Bell's inequalities
• Two-player conflicting interest Bayesian games and Bell nonlocality
• Quantum Matching Pennies Game
• Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game
• Quantum Parrondo's games under decoherence
• Equivalence between Bell inequalities and quantum Minority game
• Distinguishing quantum channels via magic squares game
• Non-factorizable Joint Probabilities and Evolutionarily Stable Strategies in the Quantum Prisoner's Dilemma Game
• A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement
• Quantum Monty Hall problem under decoherence
• Strong Quantum Solutions in Conflicting Interest Bayesian Games
• Noisy non-transitive quantum games
• Three-players conflicting interest games and nonlocality
• Examining the effect of quantum strategies on symmetric conflicting interest games