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 / antonio villanacci; Maria Bernadette Donato. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 519:(2023), pp. 1-24.
Variational inequalities, Maximal elements and economic equilibria
antonio villanacci;
2023
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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.