Semi-cooperative strategies for differential games
type: Item
instance of: scholarly article
title: Semi-cooperative strategies for differential games
zbMATH Open document ID: 1098.91019
author: Alberto Bressan
author: Wen Shen
published in: International Journal of Game Theory
publication date: 2005-03-11T00:00:00Z
review text: The paper contributes to the theory of noncooperative differential games with two players and their Nash equilibrium in feedback form. The main goal of the paper is to manage the fact that the concept of Nash equilibrium is not appropriate for the investigation of such model. The suggested solution is based on the conclusion to allow some degree of cooperative behavior, called semi-cooperation, between players. It is shown that if the semi-cooperative strategies are admitted, then the system of partial differential equations for the value functions turns to be hyperbolic, at least in the weak sense, and the most significant instabilities among Nash equilibrium solutions are removed.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 2143823
zbMATH Keywords: Ill-posedness of elliptic Cauchy problems
zbMATH Keywords: semi-cooperation
zbMATH Keywords: Pareto optimum
zbMATH Keywords: weak hyperbolicity
MaRDI profile type: Publication
full work available at URL: s001820400180
OpenAlex ID: W2067029100
DOI: 10.1007/S001820400180
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description: scientific article; zbMATH DE number 2143823