Reference : The chaining interaction index among players in cooperative games
Parts of books : Contribution to collective works
Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/6897
The chaining interaction index among players in cooperative games
English
Marichal, Jean-Luc[University of Liège, Belgium > Department of Management (FEGSS)]
Roubens, Marc[University of Liège, Belgium > Institute of Mathematics]
1999
Advances in Decision Analysis (Mons, 1997)
Meskens, Nadine
Roubens, Marc
Kluwer Acad. Publ.
Mathematical Modelling - Theory and Applications Vol. 4
69-85
Yes
9780792355632
Dordrecht
[en] game theory ; multicriteria decision making ; Shapley and Banzhaf values ; interaction indices
[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.
[University of Liège, Belgium > Department of Management (FEGSS)]
