An axiomatisation of the Banzhaf value and interaction index for multichoice games

Mustapha Ridaoui (mustapha.ridaoui@univ-paris1.fr), Michel Grabisch and Christophe Labreuche (christophe.labreuche@thalesgroup.com)
Additional contact information
Mustapha Ridaoui: Centre d'Economie de la Sorbonne - Paris School of Economics, https://centredeconomiesorbonne.univ-paris1.fr
Christophe Labreuche: Thales Research & Technology - Palaiseau

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We provide an axiomatisation of the Banzhaf value (or power index) and the Banzhaf interaction index for multichoice games, which are generalisation of cooperative games with several levels of participation. Multichoice games can model any aggregation model in multicriteria decision making, provided the attributes take a finite number of values. Our axiomatisation uses standard axioms of the Banzhaf value for classical games (linearity, null axiom, symmetry), an invariance axiom specific to the multichoice context, and a generalisation of the 2-efficiency axiom, characteristic of the Banzhaf value

Keywords: Banzhaf value; multicriteria decision aid; multichoice games; interaction (search for similar items in EconPapers)
Pages: 14 pages
Date: 2018-03
New Economics Papers: this item is included in nep-gth and nep-knm
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Citations: View citations in EconPapers (4)

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ftp://mse.univ-paris1.fr/pub/mse/CES2018/18007.pdf (application/pdf)

Related works:
Working Paper: An axiomatisation of the Banzhaf value and interaction index for multichoices games (2018)
Working Paper: An axiomatisation of the Banzhaf value and interaction index for multichoice games (2018)
Working Paper: An axiomatisation of the Banzhaf value and interaction index for multichoices games (2018)
Working Paper: An axiomatisation of the Banzhaf value and interaction index for multichoice games (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:18007

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