On taking the intermediate value theorem (IVT) and its converse as a point of departure, this paper connects the intermediate value property (IVP) to the continuity postulate typically assumed in mathematical economics, and to the solvability axiom typically assumed in mathematical psychology....

This paper studies welfare maximizing allocation of indivisible objects to ex-ante identical agents in the absence of monetary transfers. The agents, each with a unit demand, share a common ranking of the objects, and are privately informed about their own valuations. The structure of the...