Inheritance of Convexity for the Pmin-Restricted Game

Alexandre Skoda ()
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Alexandre Skoda: Centre d'Economie de la Sorbonne, https://centredeconomiesorbonne.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We consider restricted games on weighted graphs associated with minimum partitions. We replace in the classical definition of Myerson restricted game the connected components of any subgraph by the subcomponents corresponding to a minimum partition. This minimum partition Pmin is induced by the deletion of the minimum weight edges. We provide a characterization of the graphs satisfying inheritance of convexity from the underlying game to the restricted game associated with P min

Keywords: communication networks; cooperative game; convex game; restricted game; partitions (search for similar items in EconPapers)
JEL-codes: C61 C71 (search for similar items in EconPapers)
Pages: 50 pages
Date: 2017-10
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:17051

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