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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Official URL: http://www.sciencedirect.com/science/article/pii/S0166218X1100463X

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Polyhedra; Capacities; k-additivity; Dominance; Core |

Subjects: | Sciences > Statistics > Game theory |

ID Code: | 16860 |

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Deposited On: | 25 Oct 2012 08:41 |

Last Modified: | 25 Oct 2012 08:41 |

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