An extension of the coordinate transformation method for open-loop Nash equilibria
type: Item
instance of: scholarly article
title: An extension of the coordinate transformation method for open-loop Nash equilibria
zbMATH Open document ID: 1107.91029
published in: Journal of Optimization Theory and Applications
publication date: 2005-04-07T00:00:00Z
review text: In the present work, the authors improve previous known results in two directions. First, they enlarge the class of open-loop dynamic games to permit coupling among the dynamic equations via the states of the players; second, they incorporate the modifications given in another author's papers. An example arising from the harvesting of renewable recource is presented to illustrate the utility of this results.
Mathematics Subject Classification ID: 91A25
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49N70
zbMATH DE Number: 2153856
zbMATH Keywords: calculus of variations
zbMATH Keywords: Nash equilibria
zbMATH Keywords: dynamics games
author: Dean A. Carlson
author: George Leitmann
reviewed by: N. G. Gamkrelidze
MaRDI profile type: Publication
cites work: A note on absolute extrema of certain integrals
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cites work: Convexity and optimization in \({\mathbb R^n}\)
cites work: Q4741897
cites work: Carathéodory's method for a class of dynamic games.
DOI: 10.1023/B:JOTA.0000043990.32923.AC
description: scientific article; zbMATH DE number 2153856