A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement

Details A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement A competitive game whose maximal Nash-equilibrium payoff requires quantum resources for its achievement

2009-08-31

arxiv.org/abs/0908.4373v2

Phys. Lett. A 374 (2010) 3619-3624

Physics

Quantum Physics

8 pages, revtex4

Scientific paper

While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting--in particular, whether they offer any advantage beyond what is achievable using classical resources. We construct a competitive game between four players based on the minority game where the maximal Nash-equilibrium payoff when played with the appropriate quantum resource is greater than that obtainable by classical means, assuming a local hidden variable model. The game is constructed in a manner analogous to a Bell inequality. This result is important in confirming the legitimacy of quantum games.

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