Pure-strategy equilibria in Bayesian games

Wei He and Yeneng Sun

Journal of Economic Theory, 2019, vol. 180, issue C, 11-49

Abstract: A general condition called “coarser inter-player information” is introduced and shown to be necessary and sufficient for the validity of several fundamental properties on pure-strategy equilibria in Bayesian games, such as existence, purification from behavioral strategies, and convergence for a sequence of games. Our sufficiency results cover various earlier results on pure-strategy equilibria in Bayesian games as special cases. New applications are presented as illustrative examples, including auctions with externalities and risk-neutral bidders, and Bertrand pricing games with asymmetric information.

Keywords: Bayesian game; Characterization; Coarser inter-player information; Pure-strategy equilibrium existence; Purification; Closed graph property (search for similar items in EconPapers)
JEL-codes: C62 D43 D44 D82 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:180:y:2019:i:c:p:11-49

DOI: 10.1016/j.jet.2018.11.007

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