Reference : Equivalent representations of a set function with applications to game theory and mul...
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/10993/10979
Equivalent representations of a set function with applications to game theory and multicriteria decision making
English
Grabisch, Michel[Thomson-CSF, Orsay Cedex, France > Corporate Research Laboratory]
Marichal, Jean-Luc[University of Liège, Belgium > Department of Management (FEGSS)]
Roubens, Marc[University of Liège, Belgium > Institute of Mathematics]
May-1999
Proc. of the Int. Conf. on Logic, Game theory and Social choice (LGS'99), Oisterwijk, the Netherlands, May 13-16, 1999
de Swart, Harrie
Tilburg University Press
184-198
Yes
No
International
90-361-9959-X
Tilburg
The Netherlands
Int. Conf. on Logic, Game theory and Social choice (LGS'99)
from 13-05-1999 to 16-05-1999
Oisterwijk
The Netherlands
[en] set functions ; pseudo-Boolean functions ; Möbius inversion formula ; Shapley and Banzhaf values ; interaction indices ; game theory ; multicriteria decision making
[en] This paper introduces four alternative representations of a set function: the M¨obius transformation, the co-M¨obius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.
[Thomson-CSF, Orsay Cedex, France > Corporate Research Laboratory]
