It is well known from the literature that the introduction of financial constraints in economies with infinite-lived agents can be responsible for the occurrence of multiple equilibria and en- dogenous fluctuations. However, the question of the persistence of such phenomena when the constraints...

The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transition dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa...

We study a Ramsey problem in infinite and continuous time and space. The problem is discounted both temporally and spatially. Capital flows to locations with higher marginal return. We show that the problem amounts to optimal control of parabolic partial differential equations (PDEs). We rely on...

In this note, we use a technique analogous to Xie's method (1994) to solve analytically the Lucas model with externality in a specific parametric case. In particular, we characterize the shape of imbalance effects in this model. Our results are entirely consistent with the findings of the...

We develop in this paper simple geometrical methods to study local indeterminacy, bifurcations and stochastic (sunspot) equilibria near a steady state, in nonlinear two dimensional economic models. We present stochastic sunspot equilibria, which allows a constructive description of local...

We derive an R&D-based semi-endogenous growth model where technological progress depends on the available amount of technological opportunity. Incremental innovations provide direct increases in the knowledge stock but they reduce technological opportunity and thus the potential for further...

We highlight the salient characteristics and implications of the seminal contributions in the field of vintage capital growth theory (proposed entry for the new Palgrave dictionary of economics, 2nd edition).

This paper studies the impact of trade liberalization when monopolistically competitive and oligopolistic firms coexist in the same market. The model is characterized by a group of multi-product firms which behave strategically and take their impact on market aggregates into account (e.g. the...

This paper studies the interdependence of economic geography and transportation technology. A two-region model is used to obtain the conditions for the modern transportation technology to be adopted in an economy. In particular, the impact of economic geography upon the adoption of the modern...

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...