An efficient Shapley value for games with fuzzy characteristic function

Mallozzi, Lina and Vidal-Puga, Juan (2024): An efficient Shapley value for games with fuzzy characteristic function.

Abstract

We consider cooperative games where the characteristic function is valued in the space of the fuzzy numbers. By using different fuzzy calculation methods to transform the game into a crisp cooperative one, we define and characterize an efficient extension of the Shapley value. This solution is a relevant member of a wider family of more general, fuzzy calculation method dependent extensions of the Shapley value.

• Item Type: MPRA Paper
• Language: English
• Keywords: Cooperative game; Shapley value; fuzzy set; efficiency
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C71 - Cooperative Games

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