Generalized coalitional semivalues

In this paper we change some axioms in the axiom system which defines coalitional semivalues [Albizuri, M.J., Zarzuelo J.M., 2004. On coalitional semivalues. Games and Economic Behavior 49, 221–243] and we define generalized coalitional semivalues. Generalized coalitional semivalues, like coalitional semivalues, are “compositions” of semivalues, but they form a broader set of “compositions”. Like coalitional semivalues, generalized coalitional semivalues are extensions to the coalitional context of semivalues for transferable utility games [Dubey, P., Neyman, A., Weber, R.J., 1981. Value theory without efficiency. Mathematics of Operations Research 6, 122–128].