An existence result of a quasi-variational inequality associated to an equilibrium problem |
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Authors: | Maria Bernadette Donato Monica Milasi Carmela Vitanza |
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Institution: | (1) Contrada Papardo, salita Sperone, 31, Messina, Italy |
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Abstract: | In this paper we consider a Walrasian pure exchange economy with utility function which is a particular case of a general
economic equilibrium problem, without production. We assume that each agent is endowed with at least of a commodity, his preferences
are expressed by an utility function and it prevails a competitive behaviour: each agent regards the prices payed and received
as independent of his own choices. The Walrasian equilibrium can be characterized as a solution to a quasi-variational inequality.
By using this variational approach, our goal is to prove an existence result of equilibrium solutions. |
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Keywords: | Competitive equilibrium Variational and quasi-variational inequality Mosco’ s convergence |
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