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Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem.
- Source :
-
Optimization Methods & Software . Oct2023, Vol. 38 Issue 5, p1058-1080. 23p. - Publication Year :
- 2023
-
Abstract
- In this paper, we present a general oligopolistic market equilibrium model in which each firm produces several commodities in a time interval. To this aim, we introduce tensor variational inequalities in Hilbert spaces which are a powerful tool to analyse the model. Indeed we characterize the equilibrium condition by means of a suitable time-dependent tensor variational inequality. In addition, we prove some existence and regularity results and a numerical scheme to compute the solution. Finally we provide a numerical example. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10556788
- Volume :
- 38
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Optimization Methods & Software
- Publication Type :
- Academic Journal
- Accession number :
- 171996776
- Full Text :
- https://doi.org/10.1080/10556788.2023.2192494