The pure bargaining problem among coalitions

The well-known Nash’s pure bargaining problem is generalized so that the bargaining units in the problem can be several coalitions. For the generalized model, the paper gives a series of axioms similar to those of Nash’s to lay on a solution mapping, and the interpretaions of the solution such as ‘utility-product’ maximizer and the principle of equivalence. This generalization is important to the problems concerning the fair division with a coalition structure and is theoretically useful for the cooperative games.