Decomposition of Games with Non-empty Core into Veto-Controlled Simple Games

J.J.M. Derks

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The non-negative games with non-empty core form a polyhedral cone. 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 spinetto (see [5]) dealing with the extreme points of the compact and convex set of nonnegative (0, 1)-normalized games with non-empty core.
Original languageEnglish
Pages (from-to)81-85
Number of pages5
JournalOR Spektrum
Publication statusPublished - 1987

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