No full text
Contribution to collective works (Parts of books)
The chaining interaction index among players in cooperative games
Marichal, Jean-Luc; Roubens, Marc
1999In Meskens, Nadine; Roubens, Marc (Eds.) Advances in Decision Analysis (Mons, 1997)
Peer reviewed
 

Files


Full Text
No document available.
Full Text Parts
ChainingInteractionIndex.pdf
Author postprint (143.91 kB)
Download
PV-ChainingInteractionIndex.pdf
Publisher postprint (788.11 kB)
Request a copy

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
game theory; multicriteria decision making; Shapley and Banzhaf values; interaction indices
Abstract :
[en] This paper introduces a new interaction index among players of a cooperative game or criteria in a decision making problem: the chaining interaction whose definition is based on the maximal chains of the lattice related to the set of coalitions. This interaction index as well as the Shapley and Banzhaf interaction indices belong to the class of cardinal-probabilistic interaction indices. Conversion formulas between some representations are pointed out. Moreover, links with multilinear extensions and potentials are also investigated.
Disciplines :
Quantitative methods in economics & management
Mathematics
Identifiers :
UNILU:UL-CHAPTER-2010-156
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Department of Management (FEGSS)
Roubens, Marc;  University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
The chaining interaction index among players in cooperative games
Publication date :
1999
Main work title :
Advances in Decision Analysis (Mons, 1997)
Editor :
Meskens, Nadine
Roubens, Marc
Publisher :
Kluwer Acad. Publ., Dordrecht, Unknown/unspecified
ISBN/EAN :
9780792355632
Collection name :
Mathematical Modelling - Theory and Applications Vol. 4
Pages :
69-85
Peer reviewed :
Peer reviewed
Funders :
University of Liège, Belgium
Available on ORBilu :
since 26 September 2013

Statistics


Number of views
46 (2 by Unilu)
Number of downloads
165 (2 by Unilu)

Bibliography


Similar publications



Contact ORBilu