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...

We consider mechanism design in social choice problems in which agents' types are mutually payoff-relevant, multidimensional, and take on a continuum of possible values. If the center receives a signal that is stochastically related to the agents' types and direct returns are bounded, for any...