Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games

P.V. Reddy, J.C. Engwerda

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Abstract

In this article we derive necessary and sufficient conditions for the existence of Pareto optimal solutions for infinite horizon cooperative differential games. We consider games defined by non autonomous and discounted autonomous systems. The obtained results are used to analyze the regular indefinite linear quadratic infinite horizon differential game. For the scalar case, we present an algorithm, with mild conditions on the control space, to find all the Pareto optimal solutions.
Original languageEnglish
Place of PublicationTilburg
PublisherEconometrics
Volume2011-041
Publication statusPublished - 2011

Publication series

NameCentER Discussion Paper
Volume2011-041

Keywords

  • Pareto Efficiency
  • Cooperative Differential Games
  • Infinite Horizon Optimal Control
  • LQ theory

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