A model of employer advertised vacancies for labor is presented. The model's predictions are consistent with a variety of results reported by applied studies of the durations of different types of vacancies, and with the advertising strategies used by employers. The optimal advertising policy is...

Should automation be regulated? This paper studies optimal tax of robot and regulation of automation. A job assignment model is embedded into a Mirrleesian tax problem. A task may either be assigned to the robot or one type of labors, which naturally determines the automation rate. The robot can...

This paper aims to represent wage bargaining as an optimal control problem. Specifically, by assuming that employment follows a stock adjustment principle towards the level that maximises profits, i.e., towards labour demand, we build an intertemporal optimising model in which the real wage is...