Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term
type: Item
instance of: scholarly article
title: Lipschitz continuity and duality for dynamic oligopolistic market equilibrium problem with memory term
zbMATH Open document ID: 1229.91138
author: Annamaria Barbagallo
author: Rosalba Di Vincenzo
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-07-18T00:00:00Z
review text: The authors describe a time-dependent spatial oligopolistic market model and transform it into an evolutionary variational inequality with adding a memory term reflecting the influence of past equilibrium patterns. They prove existence and Lipschitz continuity of solutions. Next, by using duality properties with weakened constraint qualifications, they give rather simple optimality conditions.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 91B72
Mathematics Subject Classification ID: 91A22
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47J35
zbMATH DE Number: 5925552
zbMATH Keywords: dynamic oligopoly
zbMATH Keywords: evolutionary variational inequality
zbMATH Keywords: memory term
zbMATH Keywords: existence results
zbMATH Keywords: Lagrange multipliers
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.04.042
OpenAlex ID: W2057319937
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DOI: 10.1016/J.JMAA.2011.04.042
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description: scientific article; zbMATH DE number 5925552