Evolutionary variational formulation for oligopolistic market equilibrium problems with production excesses
type: Item
instance of: scholarly article
title: Evolutionary variational formulation for oligopolistic market equilibrium problems with production excesses
zbMATH Open document ID: 1273.91202
author: Annamaria Barbagallo
author: Paolo Mauro
published in: Journal of Optimization Theory and Applications
publication date: 2013-01-29T00:00:00Z
review text: The authors describe a time-dependent spatial oligopolistic market model with shipment and storage costs. It is formulated as a dynamic Cournot-Nash equilibrium problem and transformed into an evolutionary variational inequality by taking proper derivatives. The authors give conditions which provide equivalence to optimality conditions and prove existence results under continuity and pseudo-monotonicity assumptions. Some sufficient conditions for continuity of solutions are also obtained. The results are illustrated by a numerical example of an oligopolistic market.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 91A22
zbMATH DE Number: 6132214
zbMATH Keywords: dynamic oligopoly
zbMATH Keywords: production excess
zbMATH Keywords: evolutionary variational inequality
zbMATH Keywords: Cournot-Nash equilibrium
zbMATH Keywords: existence results
zbMATH Keywords: Lagrange multipliers
MaRDI profile type: Publication
full work available at URL: s10957-012-0056-z
OpenAlex ID: W2012573895
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DOI: 10.1007/S10957-012-0056-Z
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description: scientific article; zbMATH DE number 6132214