Samaritan's Dilemma: Classical and quantum strategies in Welfare Game

Details Samaritan's Dilemma: Classical and quantum strategies in Welfare Game Samaritan's Dilemma: Classical and quantum strategies in Welfare Game

2003-11-12

arxiv.org/abs/quant-ph/0311074v1

Physics Letters A, 313, 218 (2004)

Physics

Quantum Physics

10 pages, 2 figures, submitted to PRA. With a major revision including discussion of more general discoordination games

Scientific paper

Effects of classical/quantum correlations and operations in game theory are analyzed using Samaritan's Dilemma. We observe that introducing either quantum or classical correlations to the game results in the emergence of a unique or multiple Nash equilibria (NE) which do not exist in the original classical game. It is shown that the strategies creating the NE and the amount of payoffs the players receive at these NE's depend on the type of the correlation. We also discuss whether the Samaritan can resolve the dilemma acting unilaterally.

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