The paper deals with the study of an oligopolistic market equilibrium problem in which each firm produces several commodities and both production and demand excesses occur. The equilibrium definition is presented by means of a general Counot-Nash equilibrium principle. Such a condition is characterized by a tensor variational inequality. Hence, the existence and uniqueness of an equilibrium solution is established by using theoretical results on tensor variational inequalities. Finally an example is provided.
A General Cournot-Nash Equilibrium Principle and Applications to the COVID-19 Pandemic / Barbagallo, A.; Bianco, S. G. L.. - 9:(2023), pp. 15-25. [10.1007/978-3-031-28863-0_2]
A General Cournot-Nash Equilibrium Principle and Applications to the COVID-19 Pandemic
Barbagallo A.
;
2023
Abstract
The paper deals with the study of an oligopolistic market equilibrium problem in which each firm produces several commodities and both production and demand excesses occur. The equilibrium definition is presented by means of a general Counot-Nash equilibrium principle. Such a condition is characterized by a tensor variational inequality. Hence, the existence and uniqueness of an equilibrium solution is established by using theoretical results on tensor variational inequalities. Finally an example is provided.| File | Dimensione | Formato | |
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