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"Mathematical models"
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Monopsony in motion
2003,2013
What happens if an employer cuts wages by one cent? Much of labor economics is built on the assumption that all the workers will quit immediately. Here, Alan Manning mounts a systematic challenge to the standard model of perfect competition.Monopsony in Motionstands apart by analyzing labor markets from the real-world perspective that employers have significant market (or monopsony) power over their workers. Arguing that this power derives from frictions in the labor market that make it time-consuming and costly for workers to change jobs, Manning re-examines much of labor economics based on this alternative and equally plausible assumption.
The book addresses the theoretical implications of monopsony and presents a wealth of empirical evidence. Our understanding of the distribution of wages, unemployment, and human capital can all be improved by recognizing that employers have some monopsony power over their workers. Also considered are policy issues including the minimum wage, equal pay legislation, and caps on working hours. In a monopsonistic labor market, concludes Manning, the \"free\" market can no longer be sustained as an ideal and labor economists need to be more open-minded in their evaluation of labor market policies.Monopsony in Motionwill represent for some a new fundamental text in the advanced study of labor economics, and for others, an invaluable alternative perspective that henceforth must be taken into account in any serious consideration of the subject.
Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations
by
Burq, Nicolas
,
Zuily, Claude
,
Alazard, Thomas
in
Cauchy problem
,
Inequalities (Mathematics)
,
Streamflow velocity
2018
This memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in
fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. Moreover, for two-dimensional waves,
we can consider solutions such that the curvature of the initial free surface does not belong to
The
proof is entirely based on the Eulerian formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and
Hölder estimates. We first prove tame estimates in Sobolev spaces depending linearly on Hölder norms and then we use the dispersive
properties of the water-waves system, namely Strichartz estimates, to control these Hölder norms.
Secular cycles
by
Turchin, Peter
,
Nefedov, Sergey A
in
Acknowledgment (creative arts and sciences)
,
Age of Revolution
,
Agrarian society
2009,2011
Many historical processes exhibit recurrent patterns of change. Century-long periods of population expansion come before long periods of stagnation and decline; the dynamics of prices mirror population oscillations; and states go through strong expansionist phases followed by periods of state failure, endemic sociopolitical instability, and territorial loss. Peter Turchin and Sergey Nefedov explore the dynamics and causal connections between such demographic, economic, and political variables in agrarian societies and offer detailed explanations for these long-term oscillations--what the authors call secular cycles.
Global Regularity for 2d Water Waves with Surface Tension
2018
We consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves
system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An
important point of our analysis is to develop a sufficiently robust method, based on energy estimates and dispersive analysis, which
allows us to deal simultaneously with strong singularities arising from time resonances in the applications of the normal form method
and with nonlinear scattering. As a result, we are able to consider a suitable class of perturbations with finite energy, but no other
momentum conditions.
Part of our analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is
of independent interest. As a consequence, the results in this paper are self-contained.
Forecasting in financial and sports gambling markets : adaptive drift modeling
\"This book discusses cointegrated time series associated with financial and sports gambling markets are analyzed in terms of time-varying parameter models. Modeling premises are that present and past disequilibria--shocks both within and between time series--may affect subsequent changes and rates of these changes within individual series and sufficiently large shocks may disrupt/alter model structure such that resulting forecasts may be temporarily unreliable. Reduced forecasting equations are in terms of higher order ARMA models that are not limited to bilinear processes. Sports forecasting models based on public information are usually more effective--in terms of profitable trading/wagering strategies--than those for the financial sector for two reasons: insider information is less prevalent, and modeling is simplified since lagged shocks associated with the gambling lines/spreads are known--in contrast with financial modeling where there are no comparable gambling shocks, only unknown, lagged statistical shocks in terms of MA variables. Forecasting is illustrated for NFL and NBA playoff games. In financial markets, cointegration is discussed in terms of candlestick chart variants with modeling illustrations given in terms of recent Google price changes. Chapter coverage includes candlestick charts, higher order ARMA processes in financial markets, the effects of gambling shocks in sports gambling markets, cointegrated time series with model drift, modeling volatility, and the promotion of financial and mathematical literacy\"--Provided by publisher.
Ecological niches and geographic distributions
by
Enrique Martínez-Meyer
,
Richard G. Pearson
,
Miguel Nakamura
in
Algorithm
,
American Museum of Natural History
,
Bastian
2011,2012
This book provides a first synthetic view of an emerging area of ecology and biogeography, linking individual- and population-level processes to geographic distributions and biodiversity patterns. Problems in evolutionary ecology, macroecology, and biogeography are illuminated by this integrative view. The book focuses on correlative approaches known as ecological niche modeling, species distribution modeling, or habitat suitability modeling, which use associations between known occurrences of species and environmental variables to identify environmental conditions under which populations can be maintained. The spatial distribution of environments suitable for the species can then be estimated: a potential distribution for the species. This approach has broad applicability to ecology, evolution, biogeography, and conservation biology, as well as to understanding the geographic potential of invasive species and infectious diseases, and the biological implications of climate change.
The authors lay out conceptual foundations and general principles for understanding and interpreting species distributions with respect to geography and environment. Focus is on development of niche models. While serving as a guide for students and researchers, the book also provides a theoretical framework to support future progress in the field.