For any transferable utility game in coalitional form with nonempty core, we show that that the number of blocks required to switch from an imputation out of the core to an imputation in the core is less than or equal to n(n-1)/2, where n is the cardinality of the player set. This number...

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...