Existence of equilibrium for abstract economies
type: Item
instance of: scholarly article
title: Existence of equilibrium for abstract economies
zbMATH Open document ID: 0821.90022
DOI: 10.1016/0304-4068(93)00609-Z
author: Kok-Keong Tan
author: George Xian-Zhi Yuan
published in: Journal of Mathematical Economics
publication date: 1994-08-10T00:00:00Z
review text: An existence theorem of maximal elements due to Yannelis and Prabhakar (1983) is applied to obtain an equilibrium existence theorem of a qualitative game with \(L\)-majorized preference correspondences which is in turn applied together with an ``approximation'' method to prove an equilibrium existence theorem of an abstract economy. The results generalize the corresponding results of Schafer and Sonnenschein (1975), Toussaint (1984), Yannelis and Prabhakar (1983) and hence also of Borglin and Keiding (1976) in several ways. In particular, the authors answer the question raised by Yannelis and Prabhakar (1983) in the affirmative with weaker hypotheses.
reviewed by: Michel Le Breton
Mathematics Subject Classification ID: 91B50
zbMATH DE Number: 617311
zbMATH Keywords: existence theorem of maximal elements
zbMATH Keywords: qualitative game
zbMATH Keywords: \(L\)-majorized preference correspondences
zbMATH Keywords: abstract economy
MaRDI profile type: Publication
cites work: Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
cites work: Q5753714
cites work: Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
cites work: Q4156067
cites work: Equilibrium in abstract economies without ordered preferences
cites work: On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
cites work: Equilibria in noncooperative models of competition
cites work: Existence of maximal elements and equilibria in linear topological spaces
full work available at URL: 0304-4068(93)00609-z
OpenAlex ID: W2071936123
description: scientific article; zbMATH DE number 617311