We show that if K is a closed cone in a finite dimensional vector space X, then there exists a one-to-one linear operator T : X - C[0,1] such that K is the pull-back cone of the positive cone of C[0,1], i.e., K = T (C+ [0,1]). This problem originated from questions regarding arbitrage free...

The development of alternative investment has highlighted the limitations of standard performance measures like the Sharpe ratio, primarily because alternative strategies yield returns distributions which can be far from gaussian. In this paper, we propose a new framework in which trades,...

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...

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...

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...

The purpose of the paper is to introduce a tighter definition for the marginal pricing rule. By means of an example, we illustrate the improvements that one gets with the new definition with respect to the former one with the Clarke's normal come.

In this paper, we introduce input-specific externalities in a dynamic general equilibrium model with heterogeneous households and a finance constraint (Woodford (1986)). In contrast to existing papers, average labor and capital have not a positive impact on the total productivity of factors, but...

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...