English

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

Quantum Physics 2007-08-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0311074,
  title  = {Samaritan's Dilemma: Classical and quantum strategies in Welfare Game},
  author = {Sahin Kaya Ozdemir and Junichi Shimamura and Fumiaki Morikoshi and Nobuyuki Imoto},
  journal= {arXiv preprint arXiv:quant-ph/0311074},
  year   = {2007}
}

Comments

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