We consider mechanism design in social choice problems in which agents’ types are continuous, multidimensional, and mutually payoff-relevant, and there are three or more agents. If the center receives a signal that is stochastically related to the agents’ types and direct returns are...

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...