Interim Bayesian Nash equilibrium on universal type spaces for supermodular games

Timothy Van Zandt

Journal of Economic Theory, 2010, vol. 145, issue 1, 249-263

Abstract: We prove the existence of a greatest and a least interim Bayesian Nash equilibrium for supermodular games of incomplete information. There are two main differences from the earlier proofs and from general existence results for non-supermodular Bayesian games: (a) we use the interim formulation of a Bayesian game, in which each player's beliefs are part of his or her type rather than being derived from a prior; (b) we use the interim formulation of a Bayesian Nash equilibrium, in which each player and every type (rather than almost every type) chooses a best response to the strategy profile of the other players. There are no restrictions on type spaces and action sets may be any compact metric lattices.

Keywords: Supermodular; games; Incomplete; information; Universal; type; spaces; Interim; Bayesian; Nash; equilibrium (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:145:y:2010:i:1:p:249-263

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