A Note on an Axiomatization of the Core of Market Games
本文证明在Peleg（1993）对市场博弈核心的公理化中，弱对称性这一条件是多余的，只需其余五个性质即可刻画核心。
As shown by Peleg (1993), the core of market games is characterized by nonemptiness, individual rationality, superadditivity, the weak reduced game property, the converse reduced game property, and weak symmetry. It was not known whether weak symmetry was logically independent. With the help of a certain transitive 4-person TU game, it is shown that weak symmetry is redundant in this result. Hence, the core on market games is axiomatized by the remaining five properties, if the universe of players contains at least four members. (This abstract was borrowed from another version of this item.)