Bayesian open games

Joe Bolt; Jules Hedges; Philipp Zahn

doi:10.32408/compositionality-5-9

Bayesian open games

Joe Bolt, Jules Hedges, Philipp Zahn

Computer And Information Sciences

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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.

Original language	English
Number of pages	46
Journal	Compositionality
Volume	5
Issue number	9
DOIs	https://doi.org/10.32408/compositionality-5-9
Publication status	Published - 4 Oct 2023

Keywords

compositional game theory
economic modelling
monoidal categories

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10.32408/compositionality-5-9Licence: CC BY 4.0

Bolt-etal-Compositionality-2023-Bayesian open gamesFinal published version, 835 KBLicence: CC BY 4.0

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AB - 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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Bayesian open games

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Keywords

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