Control óptimo determinista aplicado al problema económico de crecimiento endógeno

Abstract

THE AIM OF THIS PAPER IS TO DEVELOP, IN A DETERMINISTIC FRAME WORK, A MODEL OF ECONOMIC GROWTH THAT EXPLAINS ITS DETERMINANTS ENDOGENOUSLY. THE PROPOSED MODEL ALSO DESCRIBES THE BE HAVIOR OF THE DYNAMICS OF THE AGENT'S CONSUMPTION AND CAPITAL PATHS. IT IS SUPPOSED THAT THE ECONOMY IS POPULATED BY IDENTICAL AND IN FINITELY LIVED INDIVIDUALS THAT WISH TO MAXIMIZE THEIR UTIL ITY FOR THE CON SUMP TION OF A SIN GLE PER -ISH ABLE GOOD. SEV ERAL SAT IS FACTION INDEXES ARE REVISED. FIRMS SHARE THE SAME TECHNOLOGY. IN SUCH A TECHNOLOGY IT IS AS SUMED THAT THE MARGINAL PRODUCT OF CAPITAL REMAINS CONSTANT THROUGH TIME. IN THIS CONTEXT, THE CONSUMER'S DECISION PROBLEM IS STATED AS A DETERMINISTIC OPTIMAL CONTROL PROBLEM IN CONTINUOUS TIME. CONSUMER'S OPTIMAL DECISIONS ARE EXAMINED BY USING MATLAB SUBROUTINES.