This paper explores some applications of the time elimination technique to models of endogenous growth that include two kinds of inputs (private and public capital). Two alternative specifications of the production function are considered: i.e. a CES and a Jones-Manuelli technology. Because of the homogeneity of degree one of both production functions on private and public capital considered together, these new models predict endogenous growth, but the main difference with the standard model (Barro, 1990) is that these new specifications allow for transitional dynamics towards the steady state. First, the steady state rate of growth of output is obtained for both models, by means of applying the traditional optimal control techniques. Next, the models are calibrated and simulated by applying the time elimination technique. This numerical method allows us to understand the transitional dynamics more deeply. It also provides some insights about the speed of convergence of the model towards the steady state under each of the production function settings and for various values of the parameters. Basic results show that the speed of convergence is slower if we use a CES specification, whereas the transition is faster and less smooth if a Jones-Manuelli production function is assumed. Finally, the technique enables us to compare the results using different values of some parameters of the models.

This paper extends earlier analysis of the transitional dynamics of a growth model in which both human capital and innovation drive income expansion. Funke and Strulik [2000]. On endogenous growth with physical capital, human capital and product variety. European Economic Review 44 [491-515] suggest that the typical advanced economy follows three development phases, characterized in a temporal order by physical capital accumulation, human capital formation, and innovation, and that the transitional dynamics of the model reproduce such a sequencing. I argue that other sequences of the phases of development are possible and show that the model can generate a trajectory in which innovation precedes human capital formation. This trajectory accords with the observation that the rise in formal education followed with a considerable lag the process of industrialization. U.S. income and educational time series data are used to corroborate the innovation-education trajectory.

Essays on Microeconomics and Industrial Organisation aim to serve as a source and work of reference and consultation for the field of Microeconomics in general and of Industrial Organisation in particular. Traditionally, Microeconomics is essentially taught as theory and hardly ever an estimation of a demand, production and cost function is offered . Over the last two decades, however, Microeconomics has greatly broadened its field of empirical application. Therefore, this text combines microeconomic theories with a variety of empirical cases. The standardised microeconomic analysis of demand, production and costs is set forth along with appropriate econometric techniques. The text consists of four parts: Demand, Production and Costs (Supply), Market and Industrial Structure and Failure of Market and Industrial Regulation. It includes eleven new chapters with respect to the first edition.