DECOMPOSABLE EFFECTIVITY FUNCTIONS

Decomposable effectivity functions are introduced as an extension of a dditive effectivity functions. Whereas additive effectivity functions are determined by pairs of additive TU-games, decomposable effectivity functions are generated by pairs of TU-games that need not be additiv e. It turns out that the class of decomposable effectivity functions d oes not only contain the class of additive effectivity functions but i t also contains the class of effectivity functions corresponding to si mple games and the class of effectivity functions corresponding to vet o functions. We examine relations between properties of decomposable e ffectivity functions and the TU-games by which they are generated. It turns out that a decomposable effectivity function is stable whenever it can be generated by a pair of balanced TU-utility games, Finally, w e provide two characterizations of decomposable effectivity functions. (C) 1997 Elsevier Science B.V.