Necessary and sufficient conditions for Pareto optimal solutions of cooperative differential games

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Abstract

In this paper we present necessary as well as sufficient conditions for the existence of a Pareto optimum for cooperative differential games. The obtained results are used to analyze the regular indefinite linear quadratic differential game. For the scalar case an algorithm is devised to find all Pareto efficient solutions.
Original languageEnglish
Pages (from-to)3859-3881
JournalSIAM Journal on Control and Optimization
Volume48
Issue number6
Publication statusPublished - 2010

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