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.
Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem / Barbagallo, A.; Guarino Lo Bianco, S.. - In: OPTIMIZATION METHODS & SOFTWARE. - ISSN 1055-6788. - 38:5(2023), pp. 1058-1080. [10.1080/10556788.2023.2192494]
Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem
Barbagallo A.
;Guarino Lo Bianco S.
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.File | Dimensione | Formato | |
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