We propose two simple mechanisms that implement two bargaining sets in supe
r-additive environments. The first bargaining set is a close variation of t
he one proposed by L. Zhou (1994, Games Econom. Behav. 6, 512-526), and the
second is the Pareto optimum payoffs of the A. Mas-Colell (1989, J. Math.
Econom. 18, 129-139) bargaining set. We adopt a simple framework in which t
he cooperative outcomes are realized as non-cooperative subgame perfect equ
ilibria in pure strategies of a two-stage game played by an auxiliary set o
f individuals competing over the cooperative agents. Journal of Economic Li
terature Classification Numbers: C71, C72. (C) 2000 Academic Press.