: Scarf Herbert E
: The core on N person game
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: 1967
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: Econometrica
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: 35
: Herbert E. Scarf. The Core of an N Person Game // Econometrica, Vol. 35, No. 1. (Jan., 1967), pp. 50-69.
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Sufficient conditions are given for a general n person game to have a nonempty core. The conditions are a consequence of convexity of preferences if the game arises from an exchange economy. The proof of sufficiency is based on a finite algorithm, and makes no use of fixed point theorems.
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