Axiomatizing core extensions

摘要

We give an axiomatization of the aspiration core on the domain of all TU-games using a relaxed feasibility condition, non-emptiness, individual rationality, and generalized versions of the reduced game property (consistency) and superad-ditivity. Our axioms also characterize the C-core (Guesnerie and Oddou, Econ Lett 3(4):301-306, 1979; Sun et al. J Math Econ 44(7-8):853-860, 2008) and the core on appropriate subdomains. The main result of the paper generalizes Peleg's (J Math Econ 14(2):203-214, 1985) core axiomatization to the entire family of TU-games.