Abstract
In a k-player, nonzero-sum differential game there exists the possibility that a group of players will form a coalition and work together. If all k 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 than k players are considered. Coalitive Pareto optimality is chosen as the criterion. Sufficient conditions are presented for coalitive Paretooptimal solutions and the results are illustrated with an example.
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Schmitendorf, W.E., Moriarty, G. (1976). A Sufficiency Condition for Coalitive Pareto-Optimal Solutions. In: Leitmann, G. (eds) Multicriteria Decision Making and Differential Games. Mathematical Concepts and Methods in Science and Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8768-2_8
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DOI: https://doi.org/10.1007/978-1-4615-8768-2_8
Publisher Name: Springer, Boston, MA
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