论文标题

大型游戏的多元化游戏和索引/学位理论

Polytope-form games and Index/Degree Theories for Extensive-form games

论文作者

Pahl, Lucas

论文摘要

我们为广泛的表格游戏提出了平衡索引理论。这就需要为游戏制定索引理论,在该游戏中,玩家的策略集是一般的多面性,其回报功能是这些多面体的产物中的多芬。这样的多面是由正常形式游戏的(拓扑)等效的混合策略而产生的。

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.

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