Mechanism Design with Incomplete Information: A Solution to the Implementation Problem

Abstract

The main result of this paper is that the multiple equilibrium problem in mechanism design can be avoided in private-value models if agents do not use weakly dominated strategies in equilibrium. We show that in such settings, any incentive-compatible allocation rule can be made the unique equilibrium outcome to a mechanism. We derive a general necessary condition for unique implementation that implies that the positive result for private-value models applies with considerably less generality to common-value settings.