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Some theorems on the core of a non-sidepayment game with a measure space of players

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Abstract

The present paper studies games without sidepayments in which an arbitrary positiveσ-finite measure space of players is given. Several necessary and sufficient conditions for nonemptiness of the core, and also a sufficient condition, are obtained for a wide class of games.

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This paper was presented at the Fourth International Workshop on Game Theory, Cornell University, June, 1978.

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Ichiishi, T., Weber, S. Some theorems on the core of a non-sidepayment game with a measure space of players. Int J Game Theory 7, 95–112 (1978). https://doi.org/10.1007/BF01753238

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  • DOI: https://doi.org/10.1007/BF01753238

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