TITLE:
A Game-Theoretic Approach to Catching a Cheating Spouse
AUTHORS:
Amitrajeet A. Batabyal
KEYWORDS:
Catching, Cheating, Faithful, Mixed-Strategy, Static Game
JOURNAL NAME:
Theoretical Economics Letters,
Vol.7 No.3,
April
13,
2017
ABSTRACT: 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.