A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem
The paper is concerned with the dynamic oligopolistic market equilibrium problem in the realistic case in which we allow the presence of capacity constraints and production excesses and, moreover, we assume that the production function depends not only on the time but also on the equilibrium distrib...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/952915 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559378448777216 |
|---|---|
| author | Annamaria Barbagallo Paolo Mauro |
| author_facet | Annamaria Barbagallo Paolo Mauro |
| author_sort | Annamaria Barbagallo |
| collection | DOAJ |
| description | The paper is concerned with the dynamic oligopolistic market equilibrium problem in the realistic case in which we allow the presence of capacity constraints and production excesses and, moreover, we assume that the production function depends not only on the time but also on the equilibrium distribution. As a consequence, we introduce the generalized dynamic Cournot-Nash principle in the elastic case and prove the equivalence between this equilibrium definition and a suitable evolutionary quasi-variational inequality. For completeness we make the analysis of existence, regularity, and sensitivity of the solution. In the end, a numerical example is provided. |
| format | Article |
| id | doaj-art-d6c908a301444c2ebcca423ef27b9e60 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d6c908a301444c2ebcca423ef27b9e602025-02-03T01:30:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/952915952915A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium ProblemAnnamaria Barbagallo0Paolo Mauro1Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Via Cintia, 80126 Naples, ItalyDepartment of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, ItalyThe paper is concerned with the dynamic oligopolistic market equilibrium problem in the realistic case in which we allow the presence of capacity constraints and production excesses and, moreover, we assume that the production function depends not only on the time but also on the equilibrium distribution. As a consequence, we introduce the generalized dynamic Cournot-Nash principle in the elastic case and prove the equivalence between this equilibrium definition and a suitable evolutionary quasi-variational inequality. For completeness we make the analysis of existence, regularity, and sensitivity of the solution. In the end, a numerical example is provided.http://dx.doi.org/10.1155/2013/952915 |
| spellingShingle | Annamaria Barbagallo Paolo Mauro A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem Abstract and Applied Analysis |
| title | A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem |
| title_full | A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem |
| title_fullStr | A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem |
| title_full_unstemmed | A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem |
| title_short | A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem |
| title_sort | quasi variational approach for the dynamic oligopolistic market equilibrium problem |
| url | http://dx.doi.org/10.1155/2013/952915 |
| work_keys_str_mv | AT annamariabarbagallo aquasivariationalapproachforthedynamicoligopolisticmarketequilibriumproblem AT paolomauro aquasivariationalapproachforthedynamicoligopolisticmarketequilibriumproblem AT annamariabarbagallo quasivariationalapproachforthedynamicoligopolisticmarketequilibriumproblem AT paolomauro quasivariationalapproachforthedynamicoligopolisticmarketequilibriumproblem |