Reference : Axiomatic characterizations of generalized values
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
Axiomatic characterizations of generalized values
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
Kojadinovic, Ivan mailto [École Polytechnique de l’Université de Nantes, Nantes, France > LINA CNRS FRE 2729]
Fujimoto, Katsushige mailto [Fukushima University, Fukushima, Japan > Faculty of Economics]
Discrete Applied Mathematics
Elsevier Science
Yes (verified by ORBilu)
The Netherlands
[en] cooperative games ; values (power indices) ; generalized values
[en] In the framework of cooperative game theory, the concept of generalized value, which is an extension of that of value, has been recently proposed to measure the overall influence of coalitions in games. Axiomatizations of two classes of generalized values, namely probabilistic generalized values and generalized semivalues, which extend probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural extensions of axioms involved in the axiomatizations of values. In the second half of the paper, special instances of generalized semivalues are also axiomatized.
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
Researchers ; Professionals ; Students

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