A Bayesian game without ϵ-equilibria

Simon, Robert Samuel and Tomkowicz, Grzegorz (2018) A Bayesian game without ϵ-equilibria. Israel Journal of Mathematics, 227 (1). pp. 215-231. ISSN 0021-2172

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Abstract

We present a three player Bayesian game for which there are no ϵ-equilibria in Borel measurable strategies for small enough positive ϵ, however there are non-measurable equilibria. The structure of the game employs a non- amenable semi-group action corresponding to the knowledge of the players. The equilibrium property is related to the proper colouring of graphs and the Borel chromatic number; but rather than keeping adjacent vertices coloured differently there are algebraic conditions relating to the topology of the space and some ergodic operators.

Item Type:	Article
Official URL:	https://link.springer.com/journal/11856
Additional Information:	© 2017 Hebrew University of Jerusalem
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	31 Jul 2017 14:06
Last Modified:	16 Nov 2024 01:48
URI:	http://eprints.lse.ac.uk/id/eprint/83693

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