Large games: Fair and stable outcomes
1987
Abstract We establish that for a broad class of large games with sidepayments, fair out-comes are nearly stable. More precisely, the Shapley value of a large game is in the e-core and e is very small if the game is very large. The proof uses two other results of independent interest: for large games the power of improvement is concentrated in small coalitions, and the Shapley value of a small syndicate acting together is nearly the sum of the Shapley values which accrue to the members acting alone.
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