Miranda Menéndez, Pedro and Grabisch, Michel An algorithm for finding the vertices of the k-additive monotone core. Discrete Applied Mathematics, 160 . pp. 628-639. ISSN 0166-218X
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Given a capacity, the set of dominating k-additive capacities is a convex polytope called the k-additive monotone core; thus, it is defined by its vertices. In this paper, we deal with the problem of deriving a procedure to obtain such vertices in the line of the results of Shapley and Ichiishi for the additive case. We propose an algorithm to determine the vertices of the n-additive monotone core and we explore the possible translations for the k-additive case.
|Uncontrolled Keywords:||Polyhedra; Capacities; k-additivity; Dominance; Core|
|Subjects:||Sciences > Statistics > Game theory|
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|Deposited On:||25 Oct 2012 10:41|
|Last Modified:||25 Oct 2012 10:41|
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