A symmetric difference metric topology on the collection of binary relations on a countably infinite set provides a new setting for the study of properties of preferences and, as an illustration, is used to lend credence and meaning to some simple intuitions about properties of binary relations....

This paper studies welfare tradeoffs in two-sided, one-to-one matching markets. We begin by providing theoretical upper bounds on a utilitarian price of stability, and show that these bounds vary with the composition of participants’ ordinal preference lists. We then turn to simulation...

Two forms of continuity are defined for Pareto representations of preferences. They are designated “continuityâ€\x9D and “coordinate continuity.â€\x9D Characterizations are given of those Pareto representable preferences that are continuously representable and, in dimension...