In this paper we analyze a two-sector growth model in which the utility function is not additively separable in consumption and “quality leisure time”. Differently from the main body of theoretical literature on quality leisure, we assume that the “productivity” of leisure is not...

In this paper, we consider the Ramsey growth model with CIES utility function, Cobb-Douglas technology, and logistic-type population growth law. We show the model to have a unique non-trivial steady-state equilibrium (a saddle point) and prove the optimal path to be non-monotonic over time....

This paper shows that convergence can occur even for AK models if the population growth model is logistic. Moreover, the model is solved analytically, with the capital path expressed in closed-form in terms of Gauss hypergeometric functions.

This paper generalizes the Ramsey AK model by allowing the population growth rate to be variable over time subject only to be between prescribed upper and lower limits. Contrary to the standard AK setting, convergence can occur. Moreover, monotonicity as well as an asymptotic balanced growth...

This paper offers an alternative way, based on the logistic population growth hypothesis, to yield transitional dynamics in the standard AK model with exogenous savings rate. Within this framework, we show that the dynamics of the capital stock per person and its growth rate can be non-monotonic...

This paper extends the classical repeated duopoly model with quantity-setting firms of Bischi et al. (1998) by assuming that production of goods is subject to some gestation lags but exchanges take place continuously on the market. The model is expressed in the form of differential equations...