Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities

Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities

A competitive economic equilibrium model integrated with exchange, consumption, and production is considered. Our goal is to give an existence result when the utility functions are concave, proper, and upper semicontinuous. To this aim we are able to characterize the equilibrium by means of a suitab...

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Main Authors: I. Benedetti, M. B. Donato, M. Milasi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/648986
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spelling doaj-409b3e12e0494682b9874f3b1bf4df232020-11-25T00:13:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/648986648986Existence for Competitive Equilibrium by Means of Generalized Quasivariational InequalitiesI. Benedetti0M. B. Donato1M. Milasi2Department of Mathematics and Computer Science, University of Perugia, 06123 Perugia, ItalyDepartment of Mathematics and Computer Science, University of Messina, 98166 Messina, ItalyDepartment of Mathematics and Computer Science, University of Messina, 98166 Messina, ItalyA competitive economic equilibrium model integrated with exchange, consumption, and production is considered. Our goal is to give an existence result when the utility functions are concave, proper, and upper semicontinuous. To this aim we are able to characterize the equilibrium by means of a suitable generalized quasi-variational inequality; then we give the existence of equilibrium by using the variational approach.http://dx.doi.org/10.1155/2013/648986
collection DOAJ
language English
format Article
sources DOAJ
author I. Benedetti
M. B. Donato
M. Milasi
spellingShingle I. Benedetti
M. B. Donato
M. Milasi
Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
Abstract and Applied Analysis
author_facet I. Benedetti
M. B. Donato
M. Milasi
author_sort I. Benedetti
title Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
title_short Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
title_full Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
title_fullStr Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
title_full_unstemmed Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities
title_sort existence for competitive equilibrium by means of generalized quasivariational inequalities
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description A competitive economic equilibrium model integrated with exchange, consumption, and production is considered. Our goal is to give an existence result when the utility functions are concave, proper, and upper semicontinuous. To this aim we are able to characterize the equilibrium by means of a suitable generalized quasi-variational inequality; then we give the existence of equilibrium by using the variational approach.
url http://dx.doi.org/10.1155/2013/648986
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AT mbdonato existenceforcompetitiveequilibriumbymeansofgeneralizedquasivariationalinequalities
AT mmilasi existenceforcompetitiveequilibriumbymeansofgeneralizedquasivariationalinequalities
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