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A Characterization of the Shapley Value for Cooperative Games

Hsiao, Chih-Ru and Chiou, Wen-Lin (2009): A Characterization of the Shapley Value for Cooperative Games.

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Abstract

Motivated by a case of discrimination against some particular players happened in the real world, we define the partially consistent property of the solutions for cooperative games and use the property to characterize the Shapley value. This is different from the characterization of the Shapley value by applying the consistency property proposed by Hart and Mas-Colell.

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