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A Shapley measure of power in hierarchies

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2016 Spain English Publisher:Elsevier BVJournal:Information Sciences, volume 372, pages 98-110 (issn: 0020-0255,

Authors: José Manuel, Gallardo; Andrés, Jiménez-Losada; Nieves, Jiménez;

doi: 10.1016/j.ins.2016.08.025 , 10.5281/zenodo.10567414

A Shapley measure of power in hierarchies

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Abstract

A method for measuring positional power in hierarchies is proposed. Inspired by models of cooperative TU-games with restricted cooperation, such as permission structures, we model hierarchies by means of a certain kind of set games, which we have called authorization operators. We then define and characterize a value for authorization operators that allows us to quantify the power of each agent. This power is decomposed into two terms: sovereignty and influence. Sovereignty describes the autonomy of an agent. Influence indicates their capacity to block the actions of others.

Ministerio de Economía y Competitividad ECO2013-17766-P

Country

Spain

Related Organizations

University of Seville
Spain
Universidad de Sevilla (US)
Spain

Keywords

shapley-shubik, Permission structure, hierarchy, permission structure, Hierarchy, Power measure, power measure, cooperative game, Shapley–Shubik index, Cooperative game

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