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arXiv quant-ph/0311074quant-ph
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撒玛利亚人的困境:福利博弈中的经典策略和量子策略

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

Sahin Kaya Ozdemir, Junichi Shimamura, Fumiaki Morikoshi, Nobuyuki Imoto

摘要:

经典/量子相关性和操作在博弈论的影响进行了分析,使用撒玛利亚人的困境。我们观察到,引入量子或经典的相关性的游戏结果出现一个独特的或多个纳什均衡(NE),不存在于原来的经典游戏。它表明,创建NE和玩家在这些NE的获得的回报量的策略取决于类型的相关性。我们还讨论了撒玛利亚人是否可以解决单方面采取行动的困境。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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