Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure

We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function. The new definition extends to a more general class of functions, which includes Lipschitz functions definable on o-minimal structure and quasidifferentiable functions.Comment: 30 pages, 3 figure

Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type

Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 reference

Income and education of the states of the United States: 1840–2000

This article introduces original annual average years of schooling measures for each state from 1840 to 2000. The paper also combines original data on real state per-worker output with existing data to provide a more comprehensive series of real state output per worker from 1840 to 2000. These data show that the New England, Middle Atlantic, Pacific, East North Central, and West North Central regions have been educational leaders during the entire time period. In contrast, the South Atlantic, East South Central, and West South Central regions have been educational laggards. The Mountain region behaves differently than either of the aforementioned groups. Using their estimates of average years of schooling and average years of experience in the labor force, the authors estimate aggregate Mincerian earnings regressions. Their estimates indicate that a year of schooling increased output by between 8 percent and 12 percent, with a point estimate close to 10 percent. These estimates are in line with the body of evidence from the labor literature.

Factor Returns, Institutions, and Geography: A View From Trade

We examine the importance of institutions and geography for determining workers' wages and the return to capital. These returns to labor and capital are examined through the lens of labor and capital's productivities, which are directly related to the factors' returns. We estimate productivities of labor and capital based on trade flows across countries and present statistical evidence that these productivities are related to total factor productivities which rationalize output differences across countries. We examine whether these labor and capital productivities are related to countries' political institutions and geography. Protection of property rights is the dominant influence on both labor and capital productivity. There is some evidence that a democratic government affects productivity, but once property rights are included in the analysis, the overall democracy index has little influence on factor productivity.. Geography is only important in terms of distance to a large market. Factors such as the incidence of malaria are relatively unimportant. The unimportance of geography is not only statistical. For example, if the Philippines kept its geography but had the United Kingdom 's institutions, the Philippines ' labor productivity would increase from seven percent to 75 percent of the U.S. 's and capital productivity would increase from 25 percent to 58 percent of the U.S. 's. On the other hand, if the Philippines were to keep its institutions and were magically more to the United Kingdom 's geographic location, labor productivity would increase only from seven percent to 28 percent and capital productivity would increase from 25 percent to 26 percent.