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A Game-Theoretic Approach to Catching a Cheating Spouse

机译:一种捕捉作弊配偶的游戏理论方法

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In this paper, we study a game model of marital cheating. The husband is the cheater and the wife is faithful. The husband’s cheating is either open or surreptitious. The wife can either ignore the cheating or catch her husband in the act of cheating. We first express the game of interest in matrix form. Second, we determine the best response functions of the two players. Third, we show that there exists a unique mixed-strategy Nash equilibrium in the game. Finally, we demonstrate the nexus between our marital cheating game and the prominent Matching Pennies game.
机译:在本文中,我们研究了婚姻作弊的游戏模型。丈夫是骗子,妻子是忠诚的。丈夫的作弊是开放或偷偷摸摸的。妻子可以忽略作弊或抓住她的丈夫在作弊行为中。我们首先用矩阵形式表达兴趣的游戏。其次,我们确定两名球员的最佳响应函数。第三,我们表明游戏中存在独特的混合策略纳什均衡。最后,我们展示了我们的婚姻作弊游戏与突出匹配的便士游戏之间的Nexus。

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