Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem
A Barbagallo, S Guarino Lo Bianco - Optimization Methods and …, 2023 - Taylor & Francis
A Barbagallo, S Guarino Lo Bianco
Optimization Methods and Software, 2023•Taylor & FrancisIn 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.
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.
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.
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