In this paper, I characterize matching in an on-the-job search model with endogenous search intensity, heterogeneous workers and firms, and match surplus is shared between workers and firms through bargaining. I provide proof of existence and uniqueness of steady state equilibrium. Given equally...

A plausible micro foundation for the matching function, postulated in models of equilibrium unemployment, is proposed. The flow of matches formed is an increasing and concave function of the number of jobs and workers to be matched holding the other constant, but exhibits increasing to scale....