Nash and Walras equilibrium via Brouwer
type: Item
instance of: scholarly article
title: Nash and Walras equilibrium via Brouwer
zbMATH Open document ID: 1049.91105
published in: Economic Theory
publication date: 2003-08-20T00:00:00Z
review text: The referred paper contributes to the results on the relation between market and cooperative game solutions, namely between the Nash and Walras equilibrium. The main modification of the model consists in the application of the Brouwer's fixed point theorem instead of the Kakutani's one. The main results regard the existence of both equilibria. The proofs operate with the Satisficing Principle (maximizing a continuous utility subjectnt to specific constraints) instead of the more usual Maximum Principle.
Mathematics Subject Classification ID: 91B52
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1968459
zbMATH Keywords: Nash
zbMATH Keywords: fix point theorem
zbMATH Keywords: Kakutani
zbMATH Keywords: maximum principle
zbMATH Keywords: satisficing principle
author: John D. Geanakoplos
reviewed by: Milan Mareš
MaRDI profile type: Publication
full work available at URL: s001990000076
OpenAlex ID: W2060412450
DOI: 10.1007/S001990000076
description: scientific article; zbMATH DE number 1968459