Abstract
This paper investigates the problem of determining when an infinite player game can be partitioned into countably many stable coalitions. An example is given of asuperadditive scalar measure game for which this is not possible and several positive results are presented. The final section of the paper takes up the problem of when a process of successive coalition formation can eventually lead to a division of all available resources. A theorem and a counterexample are presented for countable player games and the positive result is applied to the vector measure games considered earlier in the paper.
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