Work

Equivalent Representations of Set Functions

Year: 2000

Type: article

Abstract: This paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.

Source: Mathematics of Operations Research

DOI: 10.1287/moor.25.2.157.12225

Authors: Michel Grabisch, Jean-Luc Marichal, Marc Roubens

Institutions: LIP6, Université Pierre-et-Marie-Curie, University of Liège

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: green

OpenAlex ID: W2110301906

FWCI: 14.65

Cites: 27

Cited by: 190

Related to: 10