[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.
Disciplines :
Mathematics Quantitative methods in economics & management
Identifiers :
UNILU:UL-ARTICLE-2010-393
Author, co-author :
Marichal, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)
Kojadinovic, Ivan; École Polytechnique de l’Université de Nantes, Nantes, France > LINA CNRS FRE 2729
Fujimoto, Katsushige; Fukushima University, Fukushima, Japan > Faculty of Economics
Language :
English
Title :
Axiomatic characterizations of generalized values
Publication date :
01 January 2007
Journal title :
Discrete Applied Mathematics
ISSN :
0166-218X
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
155
Issue :
1
Pages :
26-43
Peer reviewed :
Peer reviewed
Name of the research project :
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
