Modern game theory was born in 1928, when John von Neumann published his Minimax Theorem.This theorem ascribes to all two-person zero-sum games a value - what rational players may expect - and optimal strategies? how they should play to achieve that expectation.Sev entyseven years later,...

In recent decades, the concept of subjective probability has been increasingly applied to an adversary's choices in strategic games. A careful examination reveals that the standard construction of subjective probabilities does not apply in this context. We show how the difficulty may be overcome...

A player i's actions in a game are determined by her beliefs about other players; these depend on the game's real-life context, not only its formal description. Define a game situation as a game together with such beliefs; call the beliefs— and i's resulting expectation—rational if there is...