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The Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspects

Norde, Henk; Branzei, Rodica; Moretti, Stefano; Tijs, Stef (2006), The Bird Core for Minimum Cost Spanning Tree Problems Revisited: Monotonicity and Additivity Aspects, dans Seeger, Alberto, Recent Advances in Optimization, Springer : Berlin, p. 305-322. http://dx.doi.org/10.1007/3-540-28258-0_19

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Type
Chapitre d'ouvrage
Date
2006
Titre de l'ouvrage
Recent Advances in Optimization
Auteurs de l’ouvrage
Seeger, Alberto
Éditeur
Springer
Titre de la collection
Lecture Notes in Economics and Mathematical Systems
Numéro dans la collection
563
Ville d’édition
Berlin
Isbn
978-3-540-28257-0
Nombre de pages
455
Pages
305-322
Identifiant publication
Métadonnées
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Auteur(s)
Norde, Henk
Branzei, Rodica
Moretti, Stefano cc
Tijs, Stef
Résumé (EN)
A new way is presented to define for minimum cost spanning tree (mcst) games the irreducible core, which is introduced by Bird in 1976. The Bird core correspondence turns out to have interesting monotonicity and additivity properties and each stable cost monotonic allocation rule for mcst-problems is a selection of the Bird core correspondence. Using the additivity property an axiomatic characterization of the Bird core correspondence is obtained.
Mots-clés
minimum costs spanning tree situation; cooperative game theory; aspects monotonicity