Necessary and Sufficient Conditions for Pareto Optimal Solutions of Cooperative Differential Games

Jacob Christiaan Engwerda

95 citations0/0 files storedSIAM Journal on Control and Optimization

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Game Theory and Applications Advanced Control Systems Optimization Guidance and Control Systems

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.

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1969Nonzero-sum differential games

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2011Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games 2018Necessary and sufficient conditions for Pareto optimality of the stochastic systems in finite horizon 2015Stackelberg strategies for stochastic systems with multiple followers

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