This paper proves the existence of competitive equilibrium in a single sector dynamic economy with elastic labor supply. The method of proof relies on some recent results (see Le Van and Saglam [2004]) concerning the existence of Lagrange multipliers in infinite dimensional spaces and their...

We prove the existence of competitive equilibrium in a single-sector dynamic economy with heterogeneous agents and elastic labor supply. The method of proof relies on exploiting the existence of Lagrange multipliers in infinite dimensional spaces and the link between Pareto-optima and...

The paper extends the canonical representative agent Ramsey model to include heterogeneous agents and elastic labor supply. The welfare maximization problem is analyzed and shown to be equivalent to a non-stationary reduced form model. An iterative procedure is exploited to prove the...

We prove existence of competitive equilibrium in a version of a Ramsey model in which leisure enters the utility function. The analysis is carried out by means of a direct and technically simple approach that allows us to obtain detailed results concerning the behaviour of equilibrium...

This paper studies the existence of solutions in continuous time optimization problems. It provides a theorem whose conditions can be easily checked in most models of the optimal growth theory including those with increasing return and multi-sector economies.

We consider a developing country with three sectors in economy : consumption goods, new technology and education. Productivity of the consumption goods sector depends on new technology and skilled labor used for production of the new technology. We show that there might be three stages in the...

We consider a class of pure exchange economies with externalities. The consumption set and the preferences of each household depend on his initial endowment and on the actions of the other households. We give a definition of competitive equilibrium with externalities which includes as particular...

In this paper, we first give an elementary proof of existence of equilibrium with dividends in an economy with possibly satiated consumers. We then introduce a non-arbitrage condition and show that it is equivalent to the existence of equilibrium with dividends.

This paper considers a two-period model of endogenous human capital formation under the credits-market imperfection and uncertainty assumptions. We compare in the first part of the paper ex-ante and ex-post general-equilibrium effects of the education subsidy policy to those of the negative...

This paper develops a simple model of optimal growth with renewable resource and endogenous discounting. Relaxing the time-additivity preference hypothesis allows to make endogenous the rate of time preference and to reconsider the dynamics of models with concave resource. The possibility of...