We present an index theory of equilibria for extensive form games. This requires developing an index theory for games where the strategy sets of players are general polytopes and their payoff functions are multiaffine in the product of these polytopes. Such polytopes arise from identifying (topologically) equivalent mixed strategies of a normal form game.

翻译：我们为广泛形式的游戏提出了一个平衡指数理论。 这要求为游戏开发一个指数理论,在这些游戏中,玩家的策略组合是普通的多面形,其报酬功能是这些多面形的产物中的多面体。 这种多面形产生于对普通形式游戏的(在结构学上)等同的混合策略的识别。