This paper illustrates using a very simple model that admits a close form solution that takes risk into account how to apply the existing numerical methods in a very simple way. Contrary to most existing models to teach solution methods, this model possesses non trivial properties as far as risk...

Generalized Lotka-Volterra (GLV) models extending the (70 year old) logistic equation to stochastic systems consisting of a multitude of competing auto-catalytic components lead to power distribution laws of the (100 year old) Pareto-Zipf type. In particular, when applied to economic systems,...

This work focuses on a method to characterize stochastic processes by way of their scaling function tau(·). The kernel idea is that, notwithstanding the properties of the stochastic generating process of raw data, a minimum set of conditions is required to provide empirical estimation of the...

In economic theory, there exist many important problems whose mathematical formulation is a function relating the current value of a certain state variable to its (accurately forecast) future value. The most widely studied class of such problems is the Overlapping generations (OLG) models in...