Our main goal in this paper is to provide conditions under which the solution sets to a maximal problem and to a generalized variational inequality problem coincide and are nonempty. We use the obtained results to get a proof of existence of equilibria in an exchange economy model. Finally we compare the results obtained in our analysis with those which are available in the variational inequality and economic literature.

Variational inequalities, maximal elements and economic equilibria

Donato, Maria Bernadette
Primo
;
2023-01-01

Abstract

Our main goal in this paper is to provide conditions under which the solution sets to a maximal problem and to a generalized variational inequality problem coincide and are nonempty. We use the obtained results to get a proof of existence of equilibria in an exchange economy model. Finally we compare the results obtained in our analysis with those which are available in the variational inequality and economic literature.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3252096
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