The depressing effect of randomly migrating population on wage share

Abstract

In this paper, a stochastic framework is developed to study the effects of randomly migrating population. The analysis borrows a number of intrinsic characteristics from the classic Goodwin model. While Goodwin formalizes his model as a Lotka Volterra system, the present study converges into a stochastic version of the Lotka-Volterra system. In particular, it is shown that randomly migrating population has a depressing effect on wage share. The employment ratio, on the other hand, exhibits the natural rate property.