Advanced Game Theory
نویسنده
چکیده
In this section we study games with only two players. We also restrict attention to the case where the interests of the players are completely antagonistic: at the end of the game, one player gains some amount, while the other loses the same amount. These games are called “two person zero sum games”. While in most economics situations the interests of the players are neither in strong conflict nor in complete identity, this specific class of games provides important insights into the notion of "optimal play". In some 2-person zero-sum games,each player has a well defined “optimal” strategy, which does not depend on her adversary decision (strategy choice). In some other games, no such optimal strategy exists. Finally, the founding result of Game Theory, known as the minimax theorem, says that optimal strategies exist when our players can randomize over a finite set of deterministic strategies.
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