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...

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,...

Innovative workplace practices based on multi-tasking and ICT that have been diffusing in most OECD countries since the 1990s have strong consequences on working conditions. Available data show together with the emergence of new organizational forms like multi-tasking, the increase in the...

The Ramsey model of economic growth is revisited from the perspective of viability theory. The Ramsey model, augmented with minimal consumption and sustainability criteria, becomes a viability problem. The framework allows for a clear picture of optimal viable, optimal nonviable, and viable...

We first provide a nonparametric inference of the relationship between life expectancy and economic growth on an historical data for 18 countries over the period 1820-2005. The obtained shape shows up convexity for low enough values of life expectancy and concavity for large enough values. We...

We propose a multisector endogenous growth model incorporating social capital. Social capital only serves as input in the production of human capital and it involves a cost in terms of the final good. We show that in contrast to existing alternative specifications, this setting assures that...

We study how economic growth is affected by demographics in an overlapping generations model with a realistic survival law. Individuals optimally chose the dates at which they leave school to enter the labor market and at which they retire. Endogenous growth arises thanks to the accumulation of...

We study a trade-off between economic and environmental indicators using a two-stage optimal control setting where the player can switch to a cleaner technology, that is environmentally “efficient”, but economically less productive. We provide an analytical characterization of the solution...

The transition from economic stagnation to sustained growth is often modelled with a "population-induced" technical progress which raised the return to human capital. In this literature the effect of population on productivity is assumed instead of being derived from more primary assumptions,...

We first provide a nonparametric inference of the relationship between life expectancy and economic growth on an historical data for 18 countries over the period 1820-2005. The obtained shape shows up convexity for low enough values of life expectancy and concavity for large enough values. We...