
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.
Cooperative games, Nonlinear programming, Differential games (aspects of game theory)
Cooperative games, Nonlinear programming, Differential games (aspects of game theory)
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