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...

A preference profile has a one-dimensional Euclidean representation if it can be derived from an arrangement of individuals and alternatives on a line, with each individual preferring the nearer of each pair of alternatives. We provide a polynomial-time algorithm that determines whether a given...

A rule for three-way division of profits based on peer evaluation reports is impartial if the calculation of each partner’s share ignores her report, and is consensual if it respects evaluations when the three partners’ reports are in agreement. We give an approximate solution to the problem...

This paper studies the inefficiency of one-to-one matching markets as measured by the price of stability. We begin by providing some theoretical upper bounds on this type of inefficiency, bounds that vary with the composition of participants’ ordinal preference lists. We then turn to...

The author studies two-firm location games on graphs. Earlier work analyzes two-firm location games on a line or a circle, and all examples given possess pure Nash equilibria. The author produces an example of a graph with no pure Nash equilibria and also a general class of graphs that do...

A rule for 3-way division of profits based on peer evaluation reports is impartial if the calculation of each partner's share ignores her report, exact if it never allocates more or less than the profit to be shared, and consensual if it respects evaluations when the partners' reports are in...

The importance of topology as a tool in preference theory is what motivates this study in which we characterize topologies induced by binary relations and present topological versions of two classical preference representation theorems. We then use our characterizations to construct examples of...

Men's and women's preferences are intercorrelated to the extent that men rank highly those women who rank them highly. Intercorrelation plays an important but overlooked role in determining outcomes of matching mechanisms. We employ simulation techniques to quantify the effects of...