Reference : The chaining interaction index among players in cooperative games
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The chaining interaction index among players in cooperative games
Marichal, Jean-Luc mailto [University of Liège, Belgium > Department of Management (FEGSS)]
Roubens, Marc [University of Liège, Belgium > Institute of Mathematics]
Advances in Decision Analysis (Mons, 1997)
Meskens, Nadine
Roubens, Marc
Kluwer Acad. Publ.
Mathematical Modelling - Theory and Applications Vol. 4
[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
Researchers ; Professionals ; Students

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