This paper takes voting theory out of the realm of mechanism design and studies elections as tools for representing preferences: every preference relation on a set of n elements is the outcome of pairwise voting by approximately 2 log2n voters with transitive preferences. Results like this one...

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...