We present a continuous time overlapping generations model for an endowment Arrow-Debreu economy with an age-structured population. For an economy with a balanced growth path, we prove that Arrow-Debreu equilibrium prices exist, and their dynamic properties are age-dependent. Our model allows...

This paper tries to reconcile growth and geographical economics by dealing directly with capital accumulation through time and space and by seeing growth convergence and spatial agglomeration as jointly generated by dynamic processes displaying pattern formation. It presents a centralized...

We consider a Ramsey model with a continuum of Cournotian industries where free entry generates an endogenous markup. The model produces two different regimes, monopoly and oligopoly, resulting in non-smooth dynamics. We analyze the global dynamics of the model, demonstrating the model may...

In the context of a Black-Scholes economy and with a no-arbitrage argument, we derive arbitrarily accurate lower and upper bounds for the value of European options on a stock paying a discrete dividend. Setting the option price error below the smallest monetary unity, both bounds coincide, and...

This note extends the standard theory of intertemporal consumer preferences with regard environmental goods and services. It proposes an intertemporal dependent preferences framework that generates a ?persistence effect? consistent with consumer?s environmental friendly behaviours. Given the...

Endogenous mark-ups have been a matter of interest in macroeconomics, especially from the middle 1990’s onwards. However, the complexity of this class of models, does not allow general ualitative conclusions in most cases, and there is plenty of room for investigation, especially in the...

In this paper we deal with the global distribution of capital and output across time. We supply empirical support to model it as a partial differential equation, if the support of the distribution is related to an initial ranking of the economies. If we consider a distributional extension of the...

This paper presents a uncertain-lifetime overlapping-generations continuous time model for an Arrow-Debreu economy with endogenous fertility, in which age-dependent variables are explicitly introduced. The general equilibrium paths for the discount factor and newborns are derived from a system...