This note derives the Golden Rule of capital accumulation in a Chakraborty-type economy, i.e. a two-period OLG economy where longevity is endogenous. It is shown that the capital per worker maximizing steady-state consumption per head is inferior to the Golden Rule capital level prevailing under...

Introduced by Samuelson (1975), the Serendipity Theorem states that the competitive economy will converge towards the optimum steady-state provided the optimum population growth rate is imposed. This paper aims at exploring whether the Serendipity Theorem still holds in an economy with risky...

We study how mortality reductions and income growth interact, looking at their relationship prior to the Industrial Revolution, when income per capita was stagnant. We first present a model of individual medical spending giving a rationale for individual health expenditures even when medecine...

This paper casts the Belgian Great Depression of the 1930s within a dynamic stochastic general equilibrium (DSGE) framework. Results show that a total factor productivity shock within a standard real business cycle model is unsatisfactory. Introducing war expectations in the baseline model...

This paper examines the existence condition of a balanced growth path in an overlapping generations model in which production uses three inputs, physical capital, human capital and land, with increasing returns to scale. Human capital is the engine of economic growth. It is shown that, unlike...

In this paper we have analyzed existence, uniqueness and stability of a steady-state equilibrium in an overlapping generations model with monopolistic competition and free entry and exit of firms. We establish a strenghtened Inada condition that is sufficient to exclude global contraction for...

We analyze a Ramsey economy when net investment is constrained to be non negative. We prove existence of a competitive equilibrium when utility need not be bounded from below and the Inada-type conditions need not hold. The analysis is carried out by means of a direct and technically standard...

We prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous and gross investment is constrained to be non negative. We do so by converting the infinite-dimensional fixed point problem stated in terms of prices and commodities into...

The aim of this paper is to examine critically Lucas’ arguments against Keynes’s General Theory and in particular against Keynes’s concept of involuntary unemployment. It comprises two main parts. In the first, I question Lucas’s claim that Keynes betrayed the equilibrium discipline by...

We develop a dynamic stochastic general equilibrium model with an heterogeneous banking sector. We introduce endogenous default probabilities for both firms and banks, and allow for bank regulation and liquidity injection into the interbank market. Our aim is to understand the interactions...