Adopting Zakowski’s upper approximation operator C and lower approximation operator C, this paper investigates granularity-wise separations in covering approximation spaces. Some characterizations of granularity-wise separations are obtained by means of Pawlak rough sets and some relations among granularitywise separations are established, which makes it possible to research covering approximat...

We test the theoretical prediction that profit sharing reduces worker separations and by doing so increases the incidence of training. Using individual level UK data, we confirm that profit sharing is a robust determinant of lower separation rates and of greater training incidence. Critically, we cannot confirm the predicted link between separations and training. Instead, the evidence supports ...

This paper provides evidence on job flows and worker flows at the level of the employer. We ask whether firms grow by increasing hires, reducing separations, or both, and we develop a graphical approach to address this. We use a new dataset to estimate the relationship between job flows and worker flows at the employer level. We show that most employers are simultaneously hiring and facing sepa...