In this paper, we consider the problem of allocating an indivisible good between two agents under incomplete information. We provide a characterization of mechanisms that maximize the sum of the expected utilities of the agents among all deterministic feasible strategy-proof mechanisms: Any...

We consider the problem of probabilistically allocating a single indivisible good among agents when monetary transfers are allowed. We construct a new strategy-proof rule, called the second price trading rule, and show that it is second best efficient. Furthermore, we give the second price...