We study the impact of demographic change on economic short and long-term dynamics in an enlarged Lucas-Uzawa model with intratemporal altruism. Demographics are summarized by population growth rate and initial size. In contrast to the existing literature, the long-run level effects of...

This paper studies the different mechanisms and the dynamics through which demography is channeled 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...

This paper studies the different mechanisms and the dynamics through which demography is channeled 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...

This paper answers the following two questions: 1) In the data, can we find a dilution effect of population growth also on per-capita human capital investment? If yes, 2) how can we use this fact to explain theoretically the existence of a differential impact of population change on economic...

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...

In an endogenous growth model with pollution and abatement we characterize the socially optimal solution. We find that the rate of growth depends negatively on the weight of environmental care in utility and positively on the population growth rate. We also find a trade-off between growth and...

This paper provides the complete closed-form solution to the Lucas two-sector model of endogenous growth. We study the issues of existence, uniqueness, multiplicity, positivity, transitional dynamics and long-run growth, related to the competitive equilibrium paths. We identify the parameter...

The special functions are intensively used in mathematical physics to solve differential systems. We argue that they 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 model,...

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...