Until now most research in dynamic games focus on models with quadratic objective functions because of practical considerations. But in reality, all problems are not quadratic. In this paper, we solve a differential game where players have non-quadratic preferences. In particular we consider an...

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...

This paper provides the proofs to the analysis of a continuous time matching model with saving in Bayer and Wälde (2010a). The paper proves the results on consumption growth, provides an existence proof for optimal consumption and a detailed derivation of the Fokker-Planck equations.

We explore the complementarities between high-skill emigration and poverty in developing countries. We build a model endogenizing human-capital accumulation, high-skill migration and productivity. Two countries sharing the same characteristics may end up either in a “low poverty/low brain...

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...

This paper examines in an endogenous growth theory perspective the mechanisms through which epidemics affect long term growth. Investment in both physical and human capital are key transmission variables in this respect. The paper distinguishes between Spanish flu like epidemics and AIDS like...

When there are pollution externalities the competitive equilibrium is not Pareto-optimal nor environmentally sustainable even if abatment activities are endogenously decided. In this paper we introduce the possibility of an ecological catastrophe like the one predicted by the global climate...

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 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...

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...