Reference : Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction i...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices
Fujimoto, Katsushige mailto [Fukushima University, Fukushima, Japan > Faculty of Economics]
Kojadinovic, Ivan mailto [École Polytechnique de l’Université de Nantes, Nantes, France > LINA CNRS FRE 2729]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
Games and Economic Behavior
Yes (verified by ORBilu)
[en] cooperative games ; interaction among players ; values and interaction indices
[en] In the framework of cooperative game theory, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among players. Axiomatizations of two classes of interaction indices, namely probabilistic interaction indices and cardinal-probabilistic interaction indices, generalizing probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural generalizations of axioms involved in the axiomatizations of values. In the second half of the paper, existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized.
Researchers ; Professionals ; Students

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