A decomposition of the class of semiconvex games

A decomposition of the class of semiconvex games

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Article ID: iaor19942336
Country: Germany
Volume: 15
Start Page Number: 133
End Page Number: 137
Publication Date: Apr 1993
Journal: OR Spektrum
Authors: ,
Abstract:

The paper studies the class equ1 of cooperative games with player set equ2 which have the semiconvexity property. equ3 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 for equ4. Special attention is paid to one of the considered cones in the decomposition of equ5. In particular, the so called airport savings games, equ6 defined by equ7 for equ8 are emphasized.

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