Work

An efficient Shapley value for games with fuzzy characteristic function

Year: 2025

Type: article

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.

Source: Fuzzy Optimization and Decision Making

DOI: 10.1007/s10700-025-09461-1

Authors: Lina Mallozzi, Juan Vidal-Puga

Institutions: University of Naples Federico II, Universidade de Vigo

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $2,490

Funders: Università degli Studi di Napoli Federico II, Istituto Nazionale di Alta Matematica "Francesco Severi", Ministerio de Ciencia e Innovación, Xunta de Galicia