Given positive integers d and n, there is an integer N such that for every injective map ffrom { 1 ..... N} a into R there is a subset A = A1 x A2 x ... × Ad of { 1 ..... N} a such that (1) each Aj has n elements, (2) the restriction of f to A is monotone in each coordinate, (3) there is an ordering of the coordinates such that f on A is texicographic with respect to that ordering. Because inje...

The finding that the preferences of middle-income Americans are ignored when they diverge from the preferences of the rich is one of the most widely accepted and influential conclusions in political science research today. I offer a cautionary note regarding this conclusion. I demonstrate that even on those issues for which the preferences of the wealthy and those in the middle diverge, policy ...

Empirical studies of the connection between citizen preferences and legislator actions have largely focused on the preferences of a district’s average or median voter. While many theories suggest that preference heterogeneity should also affect this connection, few empirical analyses have rigorously tested claims about the distribution of individual voter preferences. In this paper, we use a un...

We present a simple and natural non-pricing mechanism for allocating divisible goods among strategic agents having lexicographic preferences. Our mechanism has favorable properties of strategy-proofness (incentive compatibility). In addition (and even when extended to the case of Leontief bundles) it enjoys Pareto efficiency, envy-freeness, and time efficiency. 1998 ACM Subject Classification F...

This paper axiomatizes a class of preferences displaying decreasing absolute uncertainty aversion, which allows a decision maker to be more willing to take uncertaintybearing behavior when he becomes wealthier. In our first main result, we obtain three equivalent representations. The first is a variation on the constraint criterion of Hansen and Sargent (2001). The other two generalize Gilboa a...

T he 2008 annual Math Awareness Month theme features the unusual combination of “Mathematics and Voting”. The importance of voting is obvious; indeed, with the United States election season hard upon us, discussions about voting are seemingly nonstop. More generally, on almost any day of any year the news media reports on some consequential election going on somewhere in the world. But what doe...

Why do we like the music we do? Research has shown that musical preferences and personality are linked, yet little is known about other influences on preferences such as cognitive styles. To address this gap, we investigated how individual differences in musical preferences are explained by the empathizing-systemizing (E-S) theory. Study 1 examined the links between empathy and musical preferen...

Stimulation of cooperation when noncooperation appears to be individually rational has been an issue in economics for at least a half century. In the 1960's and 1970's the context was cooperation in the prisoner's dilemma game; in the 1980's voluntary provision of public goods; in the 1990's, the literature on coalition formation for public goods provision emerged, in the context of coalitions ...

The purpose of this note is to compute the probability of logrolling for three different probabilistic cultures. The primary finding is that the restriction of preferences to be in accord with the condition of separable preferences creates enough additional structure among voters’ preference rankings to create an increase in the likelihood that a Condorcet winner will exist with both IC and IAC...