1 THE COMPETITIVE MULTIPLE-PARTNERS ASSIGNMENT GAME By

Multiple-partners assignment game is the name used by Sotomayor (1992, 1999) to describe the cooperative approach to the many-to-many matching market with separable and additive utilities. The competitive approach explores a new way of studying this game. The question is to know whether competitive equilibria always exist, and if so, how they can be obtained. One confirms their existence and proves that the minimum competitive equilibrium price, as well as the two optimal stable outcomes, can be obtained through dynamic mechanisms that generalize the auction of Demange, Gale and Sotomayor (1986). Several properties of interest to the cooperative and competitive markets are derived