A decomposition of the class of semiconvex games

Theo Driessen, J.J.M. Derks

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Abstract

The paper studies the classSC N of cooperative games with player setN which have the semiconvexity property.SC N is decomposed into an algebraic sum of convex cones of games for which generating sets are available. The union of these sets thus forms a generating set forSC N . Special attention is paid to one of the considered cones, in the decomposition ofSC N . In particular, the so called airport savings gamesW y, ℝ N , defined byw y (S)=Σ jεS Y i −max jεS Y j for 0 ≠S⋞N, are emphasized.
Original languageEnglish
Pages (from-to)133-137
Number of pages5
JournalOR Spectrum = OR Spektrum
Volume15
Issue number3
DOIs
Publication statusPublished - 1993

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