Overlapping generations model with endogenous labor supply: general formulation (Q850927)

This paper develops a one-sector overlapping generations model with endogenous labor supply and nonseparable preferences. It demonstrates that local indeterminacy arises easily under gross subistitutability as soon as there are multiple-steady states. Also it is shown that, depending on whether leisure and second period consumption are gross substitutes, local indeterminacy holds for very different parameter configurations. If gross substitutability is satisfied, the existence of multiple equilibrium paths requires the share of the capital in the total income to be strong enough with respect to the elasticity of the capital-labor substitution. On the other hand if gross substitutability is violated, local indeterminacy necessitates the share of the capital in the total income to be weak enough with respect to the elasticity of capital-labor substitution.