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

P.V. Reddy, J.C. Engwerda

Research output: Working paperDiscussion paperOther research output

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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

Cite this

Reddy, P. V., & Engwerda, J. C. (2011). Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games. (CentER Discussion Paper; Vol. 2011-041). Tilburg: Econometrics.
Reddy, P.V. ; Engwerda, J.C. / Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games. Tilburg : Econometrics, 2011. (CentER Discussion Paper).
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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.",
keywords = "Pareto Efficiency, Cooperative Differential Games, Infinite Horizon Optimal Control, LQ theory",
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Reddy, PV & Engwerda, JC 2011 'Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games' CentER Discussion Paper, vol. 2011-041, Econometrics, Tilburg.

Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games. / Reddy, P.V.; Engwerda, J.C.

Tilburg : Econometrics, 2011. (CentER Discussion Paper; Vol. 2011-041).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games

AU - Reddy, P.V.

AU - Engwerda, J.C.

N1 - Revision of CentER DP 2010-056

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Pareto Efficiency

KW - Cooperative Differential Games

KW - Infinite Horizon Optimal Control

KW - LQ theory

M3 - Discussion paper

VL - 2011-041

T3 - CentER Discussion Paper

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

PB - Econometrics

CY - Tilburg

ER -

Reddy PV, Engwerda JC. Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games. Tilburg: Econometrics. 2011. (CentER Discussion Paper).