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：我们提出了扩展形式博弈均衡的指标理论。这需要为策略集为一般多面体且收益函数为这些多面体乘积上的多重仿射函数的博弈建立指标理论。这类多面体源于识别（拓扑）等价的正则形式博弈的混合策略。