In this paper, the public investment provision takes place in a stochastic environnement. The role of the government is to remove a part of the uncertainty faced by the firm. If the government simply maximizes the value of the firm, then the optimal tax is smaller under imperfect competition...

We provide a North-South Schumpeterian growth model endogenously generating demand-driven patterns of vertical intra-industrial trade. More precisely, we build a model featuring non-homothetic preferences and income differences, and show that such conditions guarantee the endogenous emergence of...

The reader will find in this paper a simple theoretical framework where to analyze the usual issues from environmental and economic growth literature, including the problem of global warming, the corresponding climate change, and the impact on economic system. This paper considers two...

This paper studies the different mechanisms and the dynamics through which demography is channelled to the economy. We analyze the role of demographic changes in the economic development process by studying the transitional and the long-run impact of both the rate of population growth and the...

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 transtion dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa...

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...

Presenting a discrete time version of the Romer (1986) model, this paper analyzes optimal paths in a one-sector growth model when the technology is not convex. We prove that for a given quality of knowledge technology, the countries could take-off if their initial stock of capital are above a...

In this paper we show a method for solving in closed form a particular family of four-dimension non-linear modified Hamiltonian dynamic systems, with two states and two co-states and two co-states, which arises from a two-sector endogenous growth model where the physical capital stock is...

We study the effects of pension reform in a four-period OLG model for an open economy where hours worked by three active generations, education of the young, the retirement decision of older workers, and aggregate per capita growth, are endogenous. Next to the characteristics of the pension...

To cope with the observed drop in fertility, four policy options are generally considered : lowering pension benefits, increasing social security contributions, postponing retirement, and reducing public debt in advance. To assess the respective merits of these options, we analyze the optimal...