Upper hemicontinuity of the correspondence of subgame-perfect equilibrium outcomes
type: Item
instance of: scholarly article
title: Upper hemicontinuity of the correspondence of subgame-perfect equilibrium outcomes
zbMATH Open document ID: 0732.90095
DOI: 10.1016/0304-4068(91)90019-P
author: Tilman Börgers
published in: Journal of Mathematical Economics
publication date: 1991-01-01T00:00:00Z
review text: A topology for a class of multistage games is introduced. Some properties of this topology are studied. In particular it is shown that all multistage games can be approximated by finite multistage games. The main result then says that the correspondence mapping multistage games into their subgame-perfect equilibrium outcomes is upper hemicontinuous with respect to the introduced topology. It is also demonstrated that some recent results from the literature are special cases of the general upper hemicontinuity result.
Mathematics Subject Classification ID: 91A20
zbMATH DE Number: 4211836
zbMATH Keywords: multistage games
zbMATH Keywords: subgame-perfect equilibrium
zbMATH Keywords: upper hemicontinuity
MaRDI profile type: Publication
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full work available at URL: 0304-4068(91)90019-p
OpenAlex ID: W1980532047
description: scientific article; zbMATH DE number 4211836