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：我们提出了扩展式博弈均衡的指数理论。这需要为策略集为一般多面体且收益函数在这些多面体乘积上为多重仿射的博弈发展一套指数理论。此类多面体源于对规范型博弈中（拓扑上）等价的混合策略进行识别。