SEMIVALUES AND VOTING POWER-Reference-Cited by-同舟云学术

SEMIVALUES AND VOTING POWER

Published:2003-03 Issue:01 Volume:05 Page:41-61
ISSN:0219-1989
Container-title:International Game Theory Review
language:en
Short-container-title:Int. Game Theory Rev.

Author:

LARUELLE ANNICK¹,VALENCIANO FEDERICO²

Affiliation:

1. Departamento de Fundamentos del Análisis Económico, Universidad de Alicante, Campus San Vicente, E-03071 Alicante, Spain

2. Departamento de Economía Aplicada IV, Universidad del País Vasco, Avenida Lehendakari Aguirre, 83, E-48015 Bilbao, Spain

Abstract

In this paper we revise the axiomatic foundations and meaning of semivalues as measures of power on the domain of simple games, when these are interpreted as models of voting procedures. In this context we characterize the family of preferences on roles in voting procedures they represent, and each of them in particular. To this end we first characterize the family of semivalues and each of them in particular up to the choice of a zero and a unit of scale. As a result a reinterpretation of semivalues as a class of power indices is proposed and critically discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Statistics, Probability and Uncertainty,Business and International Management,General Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021919890300088X

Reference20 articles.

1. Subjective evaluations of n-person games

2. Weighted weak semivalues

3. On the uniqueness of the Shapley value

4. Mathematical Properties of the Banzhaf Power Index

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