Econometrica: Jan 1967, Volume 35, Issue 1

The Core of an N Person Game<50:TCOANP>2.0.CO;2-N
p. 50-69

Herbert E. Scarf

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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