混合策略的组合博弈论:基于分配律的概率开放博弈

Neil Ghani, C. Kupke, A. Lambert, F. Forsberg
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引用次数: 6

摘要

我们扩展了开放游戏框架的组合博弈论,也包括混合策略,使基本使用离散概率分布单。我们证明了所得到的对策形成一个对称的单类,它可以用来组成并行和顺序的概率对策。我们还考虑了博弈之间的态射,并表明直觉结构在纯博弈和概率开放博弈之间产生了函子和附加。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Compositional Game Theory with Mixed Strategies: Probabilistic Open Games Using a Distributive Law
We extend the Open Games framework for compositional game theory to encompass also mixed strategies, making essential use of the discrete probability distribution monad. We show that the resulting games form a symmetric monoidal category, which can be used to compose probabilistic games in parallel and sequentially. We also consider morphisms between games, and show that intuitive constructions give rise to functors and adjunctions between pure and probabilistic open games.
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