We show, with an example, that the theorem on the characterization of the domains admitting strategy-proof and non-dictatorial social choice functions by Kalai and Muller (1977) does not hold when the set of alternatives is infinite. We consider two ways of overcoming this problem. The first identifies a set of domains admitting strategy-proof and non-dictatorial social choice functions when th...

As school districts integrate charter schools for centralized admissions in Denver, New Orleans, Newark and Washington D.C., some schools have stayed out. We provide a new framework to study the incentives of a school to join a clearinghouse and we show that each school prefers to remain out of the system when others join it. Therefore, our analysis provides an explanation of why some charter s...

This article analyses national university applications and admissions data to explore why ethnic minority applicants to Russell Group universities are less likely to receive offers of admission than comparably qualified white applicants. Contrary to received opinion, the greater tendency of ethnic minorities to choose highly numerically competitive degree subjects only partially accounts for th...

nature of the image, whether uncovered or immersed, and when the coincidence of its axis* with that of the microscope was attended to, gave beautiful images, admitting of great amplification, and at once testing the corrections of the objectives. "With this arrangement it was found that when any object ia viewed by even the best microscope, there are formed " e idol a," or false images, besides...

Many of the known ovoids and spreads of finite polar spaces admit a transitive group of collineations, and in 1988, P. Kleidman classified the ovoids admitting a 2-transitive group. A. Gunawardena has recently extended this classification by determining the ovoids of the seven-dimensional hyperbolic quadric which admit a primitive group. In this paper we classify the ovoids and spreads of finit...

The peak set of a permutation σ is the set {i : σ (i − 1) < σ (i) > σ (i + 1)}. The group algebra of the symmetric group Sn admits a subalgebra in which elements are sums of permutations with a common descent set. In this paper we show the existence of a subalgebra of this descent algebra in which elements are sums of permutations sharing a common peak set. To prove the existence of this peak a...

In this paper we study the Casimir effect for free massless scalar fields propagating on a two-dimensional cylinder with a metric that admits a change of signature from Lorentzian to Euclidean.

Title IX has undoubtedly increased athletic opportunities for young high school and college women. What is less well understood is whether Title IX has had the unintended consequence of decreasing educational opportunities for young women relative to men. This paper examines the relationship between a university's compliance with Title IX via the proportionality standard and the subsequent admi...

The equivalence problem for CR structures can be viewed as a special case of the equivalence problem for G-structure. This paper uses Cartan’s methods (in modernized form) to show that a CR manifold of codimension 3 or greater with suitably generic Levi form admits a canonical connection on a reduced structure bundle whose group is isomorphic to the multiplicative group of complex numbers. As c...

UNLABELLED BACKGROUND We compared demography, diagnoses and clinical needs in acutely admitted psychiatric hospital patients in northwest Russia and northern Norway. METHOD All acutely admitted psychiatric patients in 1 psychiatric hospital in north-west Russia and 2 in northern Norway were in a three months period assessed with HoNOS and a Norwegian form developed to study acute psychiatr...