arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.02098econ.THcs.GTmath.AT
收藏

扩展型博弈的Polytope-form博弈与Index/Degree理论

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

Lucas Pahl

AI总结:

本文提出了扩展型博弈均衡的index理论,为此发展了策略集为一般多面体且支付函数为多重仿射的博弈的index理论,这类多面体源于识别正则型博弈中等价的混合策略。

摘要:

我们提出了扩展型博弈均衡的index理论。这需要为策略集为一般多面体且支付函数在这些多面体乘积上为多重仿射的博弈发展index理论。这类多面体源于识别正则型博弈中(拓扑上)等价的混合策略。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑