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757 775. O. and H. Moulin 1992, Implementing a Public Project and Distributing its Cost," Journal of Economic Theory, Vol. 57, pp. 125 140. O. and T. Palfrey 1998a, E ciency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Vol. 66, pp. 1353 1388. O. and T. Palfrey 1998b, Voluntary Implementation," mimeo: Caltech. , T. Palfrey, and S. Srivastava 1994, Undominated Nash Implementation in Bounded Mechanisms," Games and Economic Behavior, Vol. 6, pp. 474 501.

56 If, for example, a mechanism is constructed to assist bargainers in reaching an e cient agreement, then it is questionable to assume that highly ine cient outcomes will be allowed to stand o or on the equilibrium path. There are several papers that consider implementation in the face of individual rationality and or renegotiation on and o the equilibrium path. Ma, Moore and Turnbull 1988 were the rst to point out the importance of imposing an individual rationality constraint both in and out of equilibrium.

Brusco 1996, Collusion, Renegotiation, and Implementation," mimeo. , L. Corchon, and T. Sjostrom 1997, The Theory of Implementation When the Planner is a Player," Journal of Economic Theory, Vol. 77, pp. 15 33. Baliga, S. and T. Sjostrom 1995, Interactive Implementation," Games and Economic Behavior, Vol. 27, pp. 38|63. Baliga, S. and T. Sjostrom 1998, Decentralization and Collusion," Journal of Economic Theory, Vol. 83, pp. 196 232. Bandyopadhyay, T. and L. Samuelson 1992, Weakly Implementable Social Choice Rules," Theory and Decision, Vol.

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