Existence of equilibrium pair in non-compact E-proximity settings

2016 ◽  
Vol 10 ◽  
pp. 1069-1076
Author(s):  
Won Kyu Kim
Keyword(s):  
Existence Of Equilibrium ◽  
Equilibrium Pair

EXISTENCE OF EQUILIBRIUM FOR GAMES WITH UPPER SEMICONTINUOUS CORRESPONDENCES, UNDER UNCERTAINTY

2014 ◽  
Vol 60 (1) ◽  
pp. 187-200 ◽  
Author(s):  
Monica Patriche
Keyword(s):  
Deterministic Model ◽  
Existence Theorems ◽  
Abstract Economy ◽  
Existence Of Equilibrium ◽  
New Model ◽  
Upper Semicontinuous ◽  
Equilibrium Pair

Abstract In this paper we prove the existence of equilibrium pairs for the new model of a Bayesian free abstract economy which extends Kim and Lee's deterministic model of a free abstract economy (2006). Our existence theorems are proved for the case of upper semicontinuous correspondences. We also define a model of a general Bayesian abstract economy and introduce the new notion of equilibrium pair. We prove the existence of equilibrium pair and equilibrium for this type of abstract economy.

Brauer's Fixed Point Theorem

2021 ◽  
Vol 8 (1) ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Simple Proof ◽  
Exchange Model ◽  
Existence Of Equilibrium ◽  
Economic Applications ◽  
Brouwer’S Fixed Point Theorem ◽  
Brouwer's Fixed Point Theorem

The primary goal of the paper is to deliver a simple proof of equivalence between Brouwer’s fixed point theorem and the existence of equilibrium in a simple exchange model with monotonic consumers. To achieve this end, we discuss some equivalent formulations of Brouwer’s theorem and prove additional ones, that are ’approximating’ in character or seem to be better suited for economic applications than the standard results.

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