An Axiomated Family of Power Indices for Simple n-Person Games

In: Public choice, Band 35, Heft 2, S. 229-239

Abstract

A generalization is offered of the power index proposed in the authors' "A New Index of Power for Simple n-Person Games" (International Journal of Game Theory, 1979, 7, 2, 113-123), based on abandonment of the assumption that all minimal winning coalitions form with equal likelihood. The family of indexes is parameterized by allowing minimal winning coalitions to form in accordance with varying probability functions. These indexes are axiomatically characterized & compared with other similarly characterized indexes. A dual family of minimal blocking coalition indexes & their characterization axioms is presented. Modified HA.