61,334 research outputs found
Simultaneous Search and Network Efficiency
When workers send applications to vacancies they create a network. Frictions arise if workers do not know where other workers apply to (this affects network creation) and firms do not know which candidates other firms consider (this affects network clearing). We show that those frictions and the wage mechanism are in general not independent. Equilibria that exhibit wage dispersion is inefficient in terms of network formation. Under complete recall (firms can go back and forth between all their candidates) only wage mechanisms that allow for ex post Bertrand competition generate the maximum matching on a realized network.efficiency, network clearing, random bipartite network formation, simultaneous search
A descriptive and evaluative bibliography of mathematics filmstrips.
Submitted by A.W. Clark and R.W. Allen for the degree of Master of Arts and by C.H. Gardner and R.F. Sweeney for the degree of Master of Education.
Thesis (Ed.M.)--Boston UniversityThe purpose of this paper is to present in one volume (1) a bibliography of all mathematics filmstrips from those suitable for the first grade to those suitable for use in senior high school and college, (2) an accurate description of each filmstrip, and (3) unbiased evaluations of each filmstrip by qualified teachers invited to take part in the project.
Concomitant problems. The foregoing three parts were the heart of the problem and the portion nearly completely solved. There were, however, concomitant problems which have been partially solved by this work. The first of these concerns the limited use of filmstrips by mathematics teachers. Undoubtedly many do not believe in using filmstrips in mathematics classes. Others have never given serious thought about the advisability of using filmstrips. In later sections of this chapter and throughout this work evidence is cited to support the contention that filmstrips should have serious consideration, and that they are useful in mathematics classes. The second concomitant problem concerns the revision of current filmstrips and production of new ones. The filmstrip producers were supplied, upon their request, with summaries of the evaluations. Summaries were supplied only at the producer's request; for unless they were interested enough to request the summaries, they probably would not be interested in changing or improving their filmstrips.
Summary. The problem, then, had three major parts: listing , describing, and evaluating mathematics filmstrips, and two concomitant parts: arousing the mathematics teacher's interest in filmstrips, and encouraging producers to make better productions and necessary revisions in current productions. [TRUNCATED
The Steady-State Growth Theorem: A Comment on Uzawa (1961)
This brief note revisits the proof of the Steady-State Growth Theorem, first provided by Uzawa (1961). We provide a clear statement of the theorem and a new version of Uzawa's proof that makes the intuition underlying the result more apparent.
Best of Two Local Models: Local Centralized and Local Distributed Algorithms
We consider two models of computation: centralized local algorithms and local
distributed algorithms. Algorithms in one model are adapted to the other model
to obtain improved algorithms.
Distributed vertex coloring is employed to design improved centralized local
algorithms for: maximal independent set, maximal matching, and an approximation
scheme for maximum (weighted) matching over bounded degree graphs. The
improvement is threefold: the algorithms are deterministic, stateless, and the
number of probes grows polynomially in , where is the number of
vertices of the input graph.
The recursive centralized local improvement technique by Nguyen and
Onak~\cite{onak2008} is employed to obtain an improved distributed
approximation scheme for maximum (weighted) matching. The improvement is
twofold: we reduce the number of rounds from to for a
wide range of instances and, our algorithms are deterministic rather than
randomized
Land, Technical Progress and the Falling Rate of Profit
The paper sets out a one sector growth model with a neoclassical production function in land and a capital-labour aggregate. Capital accumulates through capitalist saving, the labour supply is infinitely elastic at a subsistence wage and all factors may experience factor augmenting technical progress. The main result is that, if the elasticity of substitution between land and the capital-labour aggregate is less than one and if the rate of caital augmenting technical progress is strictly positive, then the rate of profit will fall to zero. The surprise is that this result holds regardless of the rate of land augmenting technical progress; that is, no amount of technical advance in agriculture can stop the fall in the rate of profit. The paper also discusses the relation of this result to the classical and Marxist literature and sets out the path of the relative price of land.Marx, classical economics, falling rate of profit
"Quantity or Quality: The Impact of Labor-Saving Innovation on US and Japanese Growth Rates, 1960-2004"
This article deals with both theoretical and empirical analyses of the post-war period (1960-2004) for the United States and Japan. We investigated three factors contributing to growth: the growth rates of capital, labor, and labor-saving innovation. It is shown that in Japan, the growth rate of the labor force has been much less important than its quality improvement-i.e., labor-saving technical change-while in the US, the growth rate of labor and population has contributed more than their quality improvement. The policy implication here is Japan's declining population can be compensated for by additional quality improvement of the existing labor force.
Openness To Trade as a Determinant of the Elasticity of Substitution between Capital and Labor
Some recent work on economic growth considers the aggregate elasticity of substitution between capital and labor as a measure of economic flexibility. It is thought to depend on technological and institutional determinants. I study how a openness to trade affects the aggregate elasticity of substitution of a large country in a Heckscher-Ohlin model with trade in intermediates and equalization of factor prices. With constant capital stocks, trade enlarges the set of available intermediates in the same way as a rise in the elasticity of substitution in their production would. An optimal tariff corresponds to an additional rise in the elasticity of substitution. In two growing economies, trade only rises the elasticity of substitution of the GDP function of the faster growing country.aggregate elasticity of substitution, normalization, Heckscher-Ohlin model, capital accumulation
Folner tilings for actions of amenable groups
We show that every probability-measure-preserving action of a countable
amenable group G can be tiled, modulo a null set, using finitely many finite
subsets of G ("shapes") with prescribed approximate invariance so that the
collection of tiling centers for each shape is Borel. This is a dynamical
version of the Downarowicz--Huczek--Zhang tiling theorem for countable amenable
groups and strengthens the Ornstein--Weiss Rokhlin lemma. As an application we
prove that, for every countably infinite amenable group G, the crossed product
of a generic free minimal action of G on the Cantor set is Z-stable.Comment: Minor revisions. Final versio
- …