Interaction indices for multichoice games

Mustapha Ridaoui (), Michel Grabisch and Christophe Labreuche ()
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Mustapha Ridaoui: Centre d'Economie de la Sorbonne - Paris School of Economics Université Paris 1 Panthéon-Sorbonne, https://centredeconomiesorbonne.univ-paris1.fr
Christophe Labreuche: Thales Research & Technology

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

Abstract: Models in Multicriteria Decision Analysis (MCDA) can be analyzed by means of an importance index and an interaction index for every group of criteria. We consider first discrete models in MCDA, without further restriction, which amounts to considering multichoices games, that is, cooperative games with several levels of participation. We propose and axiomatize two interaction indices for multichoice games: the signed interaction index and the absolute interaction index. In a second part, we consider the continuous case, supposing that the continuous model is obtained from a discrete one by means of the Choquet integral. We show that, as in the case of classical games, the interaction index defined for continuous aggregation functions coincides with the (signed) interaction index, up to a normalizing coefficient

Keywords: multicriteria decision analysis; interaction; multichoice game; Choquet integral (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 34 pages
Date: 2019-07
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Citations: View citations in EconPapers (2)

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ftp://mse.univ-paris1.fr/pub/mse/CES2019/19019.pdf (application/pdf)

Related works:
Working Paper: Interaction indices for multichoice games (2020)
Working Paper: Interaction indices for multichoice games (2020)
Working Paper: Interaction indices for multichoice games (2020)
Working Paper: Interaction indices for multichoice games (2019)
Working Paper: Interaction indices for multichoice games (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:19019

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