We introduce in this paper a method for solving nonlinear-quadratic Pareto problems. The method provides the investigator with a set of time series realizations for the variables in the economy. By obtaining a large number of these realizations, we can approximate the empirical distributions of a variety of statistics, which will give a detailed description of the model's properties. In particular, those statistics can be compared with the similar ones obtained from actual data, and different criteria for goodness of fit can be defined on the basis of these comparisons.