On a theorem of Schmeidler
type: Item
instance of: scholarly article
title: On a theorem of Schmeidler
zbMATH Open document ID: 0563.90106
DOI: 10.1016/0304-4068(84)90029-6
author: Andreu Mas-Colell
published in: Journal of Mathematical Economics
publication date: 1984-01-01T00:00:00Z
review text: Over a decade ago, \textit{D. Schmeidler} [J. Stat. Phys. 7, No. 4, 295--300 (1973; Zbl 1255.91031)] introduced a concept of noncooperative equilibrium for games with a continuum of agents and, under a restriction on the payoff functions, established the existence of an equilibrium in pure strategies. The purpose of this note is to reformalize the model and the equilibrium notion of Schmeidler in terms of distributions rather than measurable functions. We shall see how once the definitions are available we get (pure strategy) equilibrium existence theorems quite effortlessly and under general conditions. A number of remarks contain applications to, among others, incomplete information games.
Mathematics Subject Classification ID: 91A07
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 3898644
zbMATH Keywords: noncooperative equilibrium
zbMATH Keywords: continuum of agents
zbMATH Keywords: equilibrium existence theorems
zbMATH Keywords: incomplete information games
MaRDI profile type: Publication
full work available at URL: 0304-4068(84)90029-6
OpenAlex ID: W2083818183
Wikidata QID: Q56936237
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description: scientific article; zbMATH DE number 3898644