The model of endogenous fertility by Barro and Becker (1989) is augmented by taking into account the heterogeneity of households in terms of capital endowments, mortality, and costs per surviving child. There exists a unique balanced growth path where the population growth rates of all dynasties...

In this paper, we study the existence of an intertemporal equilibrium in a Ramsey model with heterogenous discounting, elastic labor supply and borrowing constraints. Applying a fixed-point argument by Gale and Mas-Colell (1975), we prove the existence of an equilibrium in a truncated bounded...

In his seminal contribution, Tirole (1985) shows that an overlapping generations economy may monotonically converge to a steady state with a positive rational bubble, characterized by the dynamically efficient golden rule. The issue we address is whether this monotonic convergence to an...

We consider a general equilibrium model with heterogeneous agents, borrowing constraints, and exogenous labor supply. First, the existence of intertemporal equilibrium is proved even if the aggregate capitals are not uniformly bounded above and the production functions are not time invariant....