Since the seminal paper of Nash (1950) game theoretic literature has focused mostly on equilibrium and not on maximin (minimax) strategies. We study the properties of these strategies in 2-player non-zero-sum strategic games, whose Nash equilibria are only mixed.

We characterize strategy sets that are closed under rational behavior (curb) in extensive games of perfect information and finite horizon. It is shown that any such game possesses only one minimal curb set, which necessarily includes all its subgame perfect Nash equilibria. Applications of this...

This paper builds on one of the results of Pruzhansky [22], namely that maximin strategies guarantee the same expected payoffs as mixed Nash equilibrium strategies in bimatrix games. We present a discussion on the applicability of maximin strategies in such class of games. The usefulness of...