A sufficiency condition for coalitive pareto-optimal solutions |
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Authors: | W. E. Schmitendorf G. Moriarty |
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Affiliation: | (1) Department of Mechanical Engineering, Northwestern University, Evanston, Illinois;(2) Department of Electrical Engineering, Illinois Institute of Technology, Chicago, Illinois |
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Abstract: | In ak-player, nonzero-sum differential game, there exists the possibility that a group of players will form a coalition and work together. If allk players form the coalition, the criterion usually chosen is Pareto optimality whereas, if the coalition consists of only one player, a minmax or Nash equilibrium solution is sought.In this paper, games with coalitions of more than one but less thank players are considered. Coalitive Pareto optimality is chosen as the criterion. Sufficient conditions are presented for coalitive Pareto-optimal solutions, and the results are illustrated with an example. |
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Keywords: | Differential games Pareto optimality multicriteria optimization games with coalitions cooperative games |
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