A decomposition of the class of semiconvex games

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.