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Bayesian open games

2023/10/04 by Joe Bolt, Jules Hedges, Philipp Zahn · 6 citations
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Artificial intelligence #Auction Theory and Applications #Bayesian game #Bayesian probability #Combinatorial game theory #Complete information #Computer science #Discrete mathematics #Economic theories and models #Extensive-form game #Game Theory and Applications #Game theory #Mathematical economics #Mathematics #Morphism #Perspective (graphical) #Sequential game #Stochastic game #Theoretical computer science

paper · pdf · doi:10.32408/compositionality-5-9

published in Compositionality 5, 9

openalex publication_date 2023/10/04 · rss pubdate 2023/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This paper generalises the treatment of compositional game theory as introduced by Ghani et al. in 2018, where games are modelled as morphisms of a symmetric monoidal category. From an economic modelling perspective, the notion of a game in the work by Ghani et al. is not expressive enough for many applications. This includes stochastic environments, stochastic choices by players, as well as incomplete information regarding the game being played. The current paper addresses these three issues all at once.

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