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Necessary and Sufficient Conditions for Solving Cooperative Differential Games

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Author Info
Engwerda, J.C. (Tilburg University, Center for Economic Research)

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Abstract

In this note we present as well necessary as sufficient conditions for existence of a Pareto optimum for general non-convex differential games. The obtained results are used to analyze the non-convex regular indefinite linear quadratic differential game. For the scalar case an algorithm is devised to find all Pareto efficient solutions.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-42.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200742

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Engwerda, J.C., 2007. "Multicriteria Dynamic Optimization Problems and Cooperative Dynamic Games," Discussion Paper 2007-41, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Engwerda, J.C., 2007. "A Note on Cooperative Linear Quadratic Control," Discussion Paper 2007-15, Tilburg University, Center for Economic Research. [Downloadable!]
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  1. Engwerda, J.C., 2007. "Multicriteria Dynamic Optimization Problems and Cooperative Dynamic Games," Discussion Paper 2007-41, Tilburg University, Center for Economic Research. [Downloadable!]
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This page was last updated on 2009-11-25.

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