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arXiv · 1710.07163

Games on graphs with a public signal monitoring

Patricia Bouyer
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Abstract

We study pure Nash equilibria in games on graphs with an imperfect monitoring based on a public signal. In such games, deviations and players responsible for those deviations can be hard to detect and track. We propose a generic epistemic game abstraction, which conveniently allows to represent the knowledge of the players about these deviations, and give a characterization of Nash equilibria in terms of winning strategies in the abstraction. We then use the abstraction to develop algorithms for some payoff functions.

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Patricia Bouyer. 2018-02-26. Games on graphs with a public signal monitoring. https://doi.org/10.1007/978-3-319-89366-2_29

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