Search Intensity, Directed Search And The Wage Distribution

We propose a search equilibrium model in which homogenous …rms post wages along with a vacancy to attract job-seekers, while homogenous unemployed workers invest in costly job-seeking. The key innovation relies on the organization of the search market and the search behavior of the job-seekers. The search market is continuously segmented by wage level, individuals can spread their search investment over the di¤erent sub-markets, and search intensity has marginal decreasing returns on each sub-market. We show that there exists a non-degenerate equilibrium wage distribution. The density of this wage distribution is increasing at low wages, and decreasing at high wages. Under additional restrictions, it is hump-shaped, and it can be right-tailed. Our results are illustrated by an example originating a Beta wage distribution.Search e¤ort; Segmented markets; Equilibrium wage dispersion

Prediction of the dynamic oscillation threshold in a clarinet model with a linearly increasing blowing pressure : influence of noise

This paper presents an analysis of the effects of noise and precision on a simplified model of the clarinet driven by a variable control parameter. When the control parameter is varied the clarinet model undergoes a dynamic bifurcation. A consequence of this is the phenomenon of bifurcation delay: the bifurcation point is shifted from the static oscillation threshold to an higher value called dynamic oscillation threshold. In a previous work [8], the dynamic oscillation threshold is obtained analytically. In the present article, the sensitivity of the dynamic threshold on precision is analyzed as a stochastic variable introduced in the model. A new theoretical expression is given for the dynamic thresholds in presence of the stochastic variable, providing a fair prediction of the thresholds found in finite-precision simulations. These dynamic thresholds are found to depend on the increase rate and are independent on the initial value of the parameter, both in simulations and in theory.Comment: 14 page