Stability of equilibria in the overlapping generations model with endogenous labor supply

Abstract

This paper looks at the issue of existence and stability of steady-state equilibria in an overlapping generations model with productive capital (a-la Diamond) augmented to include endogenous labor supply. The paper derives some necessary and sufficient conditions under which a steady-state equilibrium is a sink, a saddle point or a source. Under a simple condition on the labor supply elasticity, it is also shown that the local stability condition of the standard Diamond model can be generalized in order to become a necessary and sufficient condition for the saddle point property of the steady-state equilibrium.