Separation of joint plan equilibrium payoffs from the min-max functions.
type: Item
instance of: scholarly article
title: Separation of joint plan equilibrium payoffs from the min-max functions.
zbMATH Open document ID: 1038.91014
DOI: 10.1016/S0899-8256(02)00016-7
author: Robert Samuel Simon
published in: Games and Economic Behavior
publication date: 2003-04-02T00:00:00Z
review text: This paper concerns infinitely repeated and undiscounted two-person non-zero-sum games of incomplete information on one side. There are established sufficient conditions for the existence of an equilibrium with payoffs superior to what the players would receive from observable deviation. For this, it is shown that a no-where empty convex valued upper hemicontinuous correspondence from a compact metric space to a compact and convex subset of an Euclidean space can be approximated by Hausdorff-continuous convex valued correspondences that contain the original correspondence. This paper can be considered to be a first step toward a theory of equilibrium selection for these games. Examples are presented that show the difficulty and the desirability of some stronger results than those presented here.
Mathematics Subject Classification ID: 91A20
Mathematics Subject Classification ID: 91A18
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 1891089
zbMATH Keywords: multistage and repeated games
zbMATH Keywords: 2-person games
zbMATH Keywords: games in extensive form
reviewed by: Stefan Mititelu
MaRDI profile type: Publication
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full work available at URL: s0899-8256(02)00016-7
OpenAlex ID: W2086985965
description: scientific article; zbMATH DE number 1891089