The Algebraic Geometry of Perfect and Sequential Equilibrium
证明在几乎所有收益分配下,扩展式博弈的颤抖手完美均衡与序贯均衡的策略集相同,利用均衡对应的半代数性质,基于数理逻辑定理。
Two of the most important refinements of the Nash equilibrium concept for extensive form games are (trembling hand) perfect equilibrium and sequential equilibrium. It is shown here that, for almost all assignments of payoffs to outcomes, the sets of sequential and perfect equilibrium strategy profiles are identical. This result is obtained by exploiting the semialgebraic nature of equilibrium correspondences, following from a deep theorem of mathematical logic. Copyright 1994 by The Econometric Society.