Sufficiency and game structure in Nash open-loop differential games
type: Item
instance of: scholarly article
title: Sufficiency and game structure in Nash open-loop differential games
zbMATH Open document ID: 0571.90109
DOI: 10.1007/BF00938485
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: This note deals with the following problem in n-player Nash open-loop differential games: Which conditions on the Hamiltonians will simplify the verification of the sufficient conditions? In the class of games with Hamiltonians linear in the state, and where the state is separated from the control of player i in the Hamiltonian of this player, the first- order and second-order conditions for an extremum of the Hamiltonian of player i also constitute a set of sufficient conditions.
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 3912154
zbMATH Keywords: n-player Nash open-loop differential games
zbMATH Keywords: sufficient conditions
MaRDI profile type: Publication
cites work: Some Sufficiency Conditions for Pareto-Optimal Control
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full work available at URL: https://doi.org/10.1007/bf00938485
OpenAlex ID: W191963143
description: scientific article; zbMATH DE number 3912154