Open AccessJournal Article10.1016/J.GEB.2017.01.012

Effectivity and power

- 01 Jan 2016

- Vol. 108, Iss: 034, pp 363-378

TL;DR: In this article, a class of power indices for effectivity functions, both for the case where the set of alternatives is finite and where it is infinite, is presented. But these power indices do not take the issues under consideration into account, in contrast to power indices defined just for simple games.

About: This article is published in Games and Economic Behavior. The article was published on 01 Jan 2016. and is currently open access.

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1. What contributions have the authors mentioned in the paper "Effectivity and power" ?

In this paper, the authors generalize the simple game approach and also the spatial game approach by considering the very broad model of an effectivity function ( Moulin and Peleg, 1982 ) and develop a theory of power indices for such functions.

Table 1 Distribution of Power between the President and Congressmen of the US.

Citations

•Journal Article•10.1016/j.ejor.2022.07.014

Power indices for networks, with applications to matching markets

Qianqian Kong, +1 more

- 01 Jul 2022

- European Journal of Operational Research

TL;DR: In this article , the authors study situations where agents can form or sever links in a network: what agents can do exactly is described by effectivity functions, and assign to such an effectivity function a number for each agent, measuring the opportunities of that agent.

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Journal Article•10.2139/ssrn.4114584

A general power index

Ulysse Lojkine

- 01 Jan 2022

- Social Science Research Network

•Journal Article•10.1016/j.geb.2022.10.004

Probabilistic Owen-Shapley spatial power indices

M. Josune Albizuri, +1 more

- 01 Oct 2022

- Games and Economic Behavior

TL;DR: In this paper , a probabilistic Owen-Shapley spatial power index (POI) generalization of the POI has been proposed for games of unanimity games and an axiomatic characterization of the family of OSH spatial power indices is given.

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•Journal Article•10.1007/S00182-020-00737-X

An issue based power index

Qianqian Kong, +2 more

- 01 Mar 2021

- International Journal of Game Theory

TL;DR: This work considers a class of power indices, characterized by weight vectors on the set of issues, and presents several axiomatic characterizations of this class ofpower indices, based on how power depends on the issues under consideration.

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References

Book Chapter•10.1017/CBO9780511528446.003

A Value for n-person Games

Lloyd S. Shapley

- 18 Mar 1952

TL;DR: In this paper, an examination of elementary properties of a value for the essential case is presented, which is deduced from a set of three axioms, having simple intuitive interpretations.

...read moreread less

8.4K

Journal Article•10.2307/1951053

A Method for Evaluating the Distribution of Power in a Committee System

Lloyd S. Shapley, +1 more

- 01 Sep 1954

- American Political Science Review

TL;DR: The method of measuring power, based on a technique of the mathematical theory of games, is presented here to a number of illustrative cases, including the United States Congress, and is intended as a first step in the attack on these problems.

...read moreread less

2.2K

•Book

The Spatial Theory of Voting: An Introduction

James M. Enelow, +1 more

- 27 Apr 1984

TL;DR: In this paper, the influence of candidate characteristics and abstention on election outcomes is investigated in an unidimensional spatial voting model and a two-dimensional spatial model of candidate competition.

...read moreread less

1.1K

Journal Article•10.1007/BF01770224

Formulation of Bayesian analysis for games with incomplete information

Jean-François Mertens, +1 more

- 01 Mar 1985

- International Journal of Game Theory

TL;DR: In this article, a formal model of Harsanyi's infinite hierarchies of beliefs is given, and it is shown that the model closes with some Bayesian game with incomplete information, and any such game can be approximated by one with a finite number of states of world.

...read moreread less

867

•Journal Article•10.1007/BF01756292

On weighted shapley values

Ehud Kalai, +1 more

- 01 Sep 1987

- International Journal of Game Theory

TL;DR: In this article, nonwmmetric Shapley values for coalitional form games with transferable utility were studied and axiomatically it is shown that two families of solutions of this type are possible.

...read moreread less

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Effectivity and power

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Most frequently asked questions

1. What contributions have the authors mentioned in the paper "Effectivity and power" ?

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Citations

Power indices for networks, with applications to matching markets

A general power index

Probabilistic Owen-Shapley spatial power indices

An issue based power index

References

A Value for n-person Games

A Method for Evaluating the Distribution of Power in a Committee System

The Spatial Theory of Voting: An Introduction

Formulation of Bayesian analysis for games with incomplete information

On weighted shapley values

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