Abstract

By considering the players and the activity levels simultaneously, we propose a consistent solution which is a generalization of the equal allocation of nonseparable costs (EANSC) on fuzzy games. We also adopt two pre-existing concepts from traditional game theory and reinterpret them in the framework of fuzzy games. First, based on the consistency which related to an extended reduced game, we offer two axiomatizations of the extended EANSC. Second, by applying the excess function, we propose a dynamic process to illustrate that the extended EANSC can be reached by players who start from an arbitrary efficient solution and make consecutive amendments.

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