We consider the mechanism design problem when agents' types are multidimensional and continuous, and their valuations are interdependent. If there are at least three agents whose types satisfy a weak correlation condition, then for any decision rule there exist balanced transfers that render truthful revelation a Bayesian e-equilibrium. A slightly stronger correlation condition ensures balanced transfers exist that induce a Bayesian Nash equilibrium in which agents' strategies are nearly truthful. This paper extends the analysis of KSG RWP03-020.
Miller, Nolan, John W. Pratt, Richard Zeckhauser, and Scott Johnson. "Mechanism Design with Multidimensional, Continuous Types and Interdependent Valuations." KSG Faculty Research Working Paper Series RWP06-028, July 2006.