document: A note on an axiomatization of the core of market games As shown by Peleg -LRB- 1993 -RRB- , 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
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O B I I I O O B I I I O O B I O O O O O O B I O O O O O O O O O O O O O O O O O O O B I O B O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: individual rationality weak reduced game property converse reduced game property weak symmetry redundant
abstractive_keyphrases: market game core axiomatization nonempty games superadditive games transitive 4-person tu game