An axiomatisation of the Banzhaf value and interaction index for multichoice games
| Autor: | Mustapha Ridaoui, Christophe Labreuche, Michel Grabisch |
|---|---|
| Přispěvatelé: | Centre d'économie de la Sorbonne (CES), Université Paris 1 Panthéon-Sorbonne (UP1)-Centre National de la Recherche Scientifique (CNRS), Thales Research and Technology [Palaiseau], THALES |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Multicriteria decision
Computer Science::Computer Science and Game Theory 05 social sciences interaction Context (language use) 02 engineering and technology [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] multicriteria decision aid multichoice games [SHS.ECO]Humanities and Social Sciences/Economics and Finance Mathematics::Logic Null (SQL) Power index 0502 economics and business Banzhaf value 0202 electrical engineering electronic engineering information engineering 050206 economic theory 020201 artificial intelligence & image processing Interaction index Finite set Mathematical economics Axiom Mathematics |
| Zdroj: | Lecture Notes in Computer Sciences : International Conference on Modeling Decisions for Artificial Intelligence (MDAI) Lecture Notes in Computer Sciences : International Conference on Modeling Decisions for Artificial Intelligence (MDAI), 2018 Modeling Decisions for Artificial Intelligence ISBN: 9783030002015 MDAI |
| Popis: | International audience; We provide an axiomatisation of the Banzhaf value (or power index) and the Banzhaf interaction index for multichoice games, which are a generalisa-tion 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. |
| Databáze: | OpenAIRE |
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