A conceptual framework which identifies the main determinants of the macroeconomic costs of abating greenhouse gases is developed. This is used to survey long-term quantitative studies of abatement, especially their modelling approaches and choices of key parameters. These studies suggest that...

The number of Arrovian constitutions, when N agents are to rank n alternatives, is p(n)p(n)N, where p(n) is the number of weak orderings of n alternatives. For n\leq15, p(n) is the nearest integer to n!/2(log2)n+1, the dominant term of a series derived by contour integration of the generating...

Taking as our point of departure a model proposed by David Card (2001), we suggest new methods for analyzing wage dispersion in a partially unionized labor market. Card's method disaggregates the la- bor population into skill categories, which procedure entails some loss of information....

The inversion theorem for radially-distributed complex random variables provides a completely symmetric relationship between their characteristic functions and their distribution functions, suitably defi- ?ned. If the characteristic function happens also to be a distribution function, then a...