We consider an optimal mechanism design problem with several heterogeneous objects and interdependent values. We characterize ex post incentives using an appropriate monotonicity condition and reformulate the problem in such a way that the choice of an allocation rule can be separated from the...

We study a class of direct revelation mechanisms which implement outcome functions satisfying a monotonicity condition. Monotone implementation is in dominant strategy equilibrium when values are private and in ex post Nash equilibrium when values are interdependent. The original...

I characterize the set of implementable allocation functions in the standard one dimensional mechanism design environment where the relationship between private information and payoffs is possibly non-monotone. The characterization is useful in two aspects. First it leads to a rather mild...