Decomposition of games with non-empty core into veto-controlled simple games
type: Item
instance of: scholarly article
title: Decomposition of games with non-empty core into veto-controlled simple games
zbMATH Open document ID: 0625.90099
DOI: 10.1007/BF01732642
published in: OR Spektrum
publication date: 1987-01-01T00:00:00Z
review text: The non-negative games with non-empty core form a polyhedral cone. The extreme directions of this convex cone correspond to veto-controlled simple games. In this paper a constructive method is described to represent a non-negative game with non-empty core as a positive linear combination of veto-controlled simple games. As an application a constructive proof is suggested of a result of \textit{R. Spinetto} [Manage. Sci., Theory 20, 1292-1299 (1974; Zbl 0314.90103)] dealing with the extreme points of the compact and convex set of nonnegative (0,1)- normalized games with non-empty core.
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4016637
zbMATH Keywords: non-negative games
zbMATH Keywords: non-empty core
zbMATH Keywords: polyhedral cone
zbMATH Keywords: veto-controlled simple games
Wikidata QID: Q59868890
author: Jean Derks
MaRDI profile type: Publication
cites work: On the uniqueness of the Shapley value
cites work: Totally Balanced Games and Games of Flow
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description: scientific article; zbMATH DE number 4016637