Interaction indices for multichoice games

Mustapha Ridaoui (), Michel Grabisch and Christophe Labreuche ()
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Mustapha Ridaoui: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Christophe Labreuche: Thales Research and Technology [Palaiseau] - THALES [France]

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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 multichoice 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 y 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; décision multicritère; jeu multichoix; intégrale de Choquet (search for similar items in EconPapers)
Date: 2019-07
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02353519v1
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Published in 2019

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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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