论文标题

具有混合策略的构图游戏理论:使用分布式法律的概率开放游戏

Compositional Game Theory with Mixed Strategies: Probabilistic Open Games Using a Distributive Law

论文作者

Ghani, Neil, Kupke, Clemens, Lambert, Alasdair, Forsberg, Fredrik Nordvall

论文摘要

我们将构图游戏理论的开放式游戏框架扩展到包含混合策略,从而使离散概率分发单调的基本使用。我们表明,由此产生的游戏形成了对称的单体类别,该类别可用于并行和顺序构成概率游戏。我们还考虑了游戏之间的形态,并表明直观的结构引起了纯粹的和概率和概率的开放游戏之间的功能和辅助功能。

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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