In game theory , battle of the sexes BoS is a two-player coordination game. Imagine a couple that agreed to meet this evening, but cannot recall if they will be attending the opera or a football match and the fact that they forgot is common knowledge.
This example shows that a game can have multiple Nash equilibria. In the traditional exposition of the game which, it will be clear, dates from the s , a man and a woman are trying to decide on an evening's entertainment; we analyze a gender-neutral version of the game.
Game theory is the mathematical study of human interactions described by rules of play and alternative choices. Situations economists and mathematicians call games psychologists call social situations.
In the battle of the sexes, a couple argues over what to do over the weekend. Both know that they want to spend the weekend together, but they cannot agree over what to do.
Dominant strategies are considered as better than other strategies, no matter what other players might do. In game theory , there are two kinds of strategic dominance:.
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