Catálogo de publicaciones - libros

We study some features of the processes that have generated high inflation in Latin- American countries. The statistical evidence shows that these inflationary experiences are fractional brownian noises. Several authors showed that self-organized criticality (SOC) processes may constitute the best explanation of the origin of such noises. But this hypothesis requires that the underlying structure remains timeinvariant. We conjecture, instead, that the economic structures evolve in time being, at each stage of their evolution, self-organized structures. We find that such ESO (evolutionary self-organized) processes still generate fractional brownian noises. Thus, they seem to provide a better explanation for the economic phenomenon of high inflation.

In recent years the semi-infinite programming became one of the most substantial research topics in the field of operations research. The goal of this paper is to make more familiar to a broader class of mathematicians, economists and engineers the idea of what is a semi-infinite programming problem and how it can be applied to the modelling and solution of real-life problems from economics, finance and engineering. Several examples illustrate the characteristic geometric features of this class of problems as well as their consequences for the use of solution methods. Then, the paper refers to applications which are modelled as semi-infinite programming problems: a control problem, a Stackelberg game, a portfolio problem, a robust optimization problem and a technical trading system for future contracts. Finally, conclusions and open questions are discussed and a special bibliography on applications of semi-infinite programming is presented.