This note proves existence of a unique equilibrium in a Lucas (1978) economy when the utility function displays constant relative risk aversion and log dividends follow a normally distributed AR(1) process with positive auto-correlation. In particular, the note provides restrictions on the...

In this paper we study the existence of bubbles for pricing equilibria in a pure Exchange Economy a la Lucas, with infinitely lived homogeneous agents. The model is analyzed under fairly general assumptions: no restrictions either on the stochastic process governing dividends' distribution or on...

The thesis of this paper is mathematical formulation of the laws of Economics with application of the principle of Least Action of classical mechanics. This paper is proposed as the rigorous mathematical approach to Economics provided by the fundamental principle of the physical science – the...

Random matching models with different states are an important class of dynamic games; for example, money search models, job search models, and some games in biology are special cases.In this paper, we investigate the basic structure of the models: the existence of equilibria, the global...

We introduce differential information in the asset market model studied by Cheng (1991), Dana and Le Van (1996)and Le Van and Truong Xuan (2001). An equilibrium existence result is proven assuming that the economy's information structure satisfies the conditional independency property.

How do financial markets respond to firms' efforts at innovation ? To answer this question, we mesure innovation by creating a synthetic indicator based on a firm's recent history of R&D expenditure and patent applications. We focus on four 2-digit "complex technology" manufacturing sectors that...

This paper studies a simple stochastic two-period general equilibrium model with money, an incomplete market of nominal assets, and a competitive banking system, intermediate between consumers and a Central Bank. There is a finite number of agents, consumers and banks. Default is not permitted....

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 study a market model where there are n different types of indivisible goods for sale. The goods can be substitutable or complementary. There are multiple units of each good. Each agent may consume several goods and has quasi-linear utilities in money. We introduce a general condition which...

This paper studies production economies having a locally convex topological vector commodity space ordered by a closed and generating convex come such that the order intervals are topologically bounded. The generally assumed lattice properties on the commodity-price duality are replaced by an...