A Monotonic Weighted Banzhaf Value for Voting Games

The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. N...
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Autor*in:	Conrado M. Manuel [verfasserIn] Daniel Martín [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	game theory cooperative game Banzhaf value weighted game cooperation abilities

Übergeordnetes Werk:	In: Mathematics - MDPI AG, 2013, 9(2021), 12, p 1343
Übergeordnetes Werk:	volume:9 ; year:2021 ; number:12, p 1343

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DOI / URN:	10.3390/math9121343

Katalog-ID:	DOAJ057131406

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callnumber-first	Q - Science
author	Conrado M. Manuel
spellingShingle	Conrado M. Manuel misc QA1-939 misc game theory misc cooperative game misc Banzhaf value misc weighted game misc cooperation abilities misc Mathematics A Monotonic Weighted Banzhaf Value for Voting Games
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topic_title	QA1-939 A Monotonic Weighted Banzhaf Value for Voting Games game theory cooperative game Banzhaf value weighted game cooperation abilities
topic	misc QA1-939 misc game theory misc cooperative game misc Banzhaf value misc weighted game misc cooperation abilities misc Mathematics
topic_unstemmed	misc QA1-939 misc game theory misc cooperative game misc Banzhaf value misc weighted game misc cooperation abilities misc Mathematics
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title	A Monotonic Weighted Banzhaf Value for Voting Games
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title_full	A Monotonic Weighted Banzhaf Value for Voting Games
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title_sort	monotonic weighted banzhaf value for voting games
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title_auth	A Monotonic Weighted Banzhaf Value for Voting Games
abstract	The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. Nevertheless, it is monotonous in the weights. We also obtain three different characterizations of the value. Then we relate it to the Owen multilinear extension.
abstractGer	The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. Nevertheless, it is monotonous in the weights. We also obtain three different characterizations of the value. Then we relate it to the Owen multilinear extension.
abstract_unstemmed	The aim of this paper is to extend the classical Banzhaf index of power to voting games in which players have weights representing different cooperation or bargaining abilities. The obtained value does not satisfy the classical total power property, which is justified by the imperfect cooperation. Nevertheless, it is monotonous in the weights. We also obtain three different characterizations of the value. Then we relate it to the Owen multilinear extension.
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title_short	A Monotonic Weighted Banzhaf Value for Voting Games
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