Characterizing Existence of Equilibrium for Large Extensive Form Games: A Necessity Result. / Ritzberger, Klaus; Alos-Ferrer, Carlos.

In: Economic Theory, 07.12.2015, p. 1-24.

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Abstract

What is the minimal structure that is needed to perform equilibrium analysis in large extensive form games? To answer this question, this paper provides conditions that are simultaneously necessary and sufficient for the existence of a subgame perfect equilibrium in any well-behaved perfect information game defined on a large game tree. In particular, the set of plays needs to be endowed with a topology satisfying two conditions. (a) Nodes are closed as sets of plays; and (b) the immediate predecessor function is an open map.
Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalEconomic Theory
DOIs
Publication statusPublished - 7 Dec 2015
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

ID: 27246182