Sequential Job Posting and Equilibrium Wage Dispersion with Bunching

In a labor market where new jobs cannot start until some time in the future, firms post vacancies in advance when productivity is high, and they post more vacancies but lower wages as the job starting time gets closer. An equilibrium wage distribution with both a continuous component and a mass point exists even with identical and rational agents on both sides of the market. Wage dispersion is generated by the inter-temporal competition between vacancies posted at different times, and a mass point emerges due to the lack of wage competition among vacancies posted at the same time