This paper considers value functions for maximization problems where the objective function is maximized subject to several constraints. I show that such value functions exhibit diminishing marginal rates of substitution (MRS) between the resource endowments which define the constraints. For the...

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...