Reference : Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction i...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/10980
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices
English
Fujimoto, Katsushige mailto [Fukushima University, Fukushima, Japan]
Kojadinovic, Ivan mailto [Polytech Nantes, Nantes, France > LINA CNRS FRE 2729]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Jul-2004
Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
45-52
Yes
No
International
10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004)
from 04-07-2004 to 09-07-2004
Perugia
Italy
[en] cooperative games ; multicriteria decision making ; interaction among players/criteria ; values and interaction indices
[en] In the framework of cooperative game theory and multicriteria decision making, 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 or criteria. 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. Three existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/10980

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