Diplomatura en Cičncies Empresarials (3011)
Introducciķ a l'Economia Matemātica(10092)
INTRODUCCIĶ A L'ECONOMIA MATEMĀTICA
Several of the principal topics in General Equilibrium theory will be considered. In particular, existence, optimality, uncertainty, the core of an economy, computation, and local uniqueness will be studied. Game theory will be introduced. The core will provide one of the main explicit links between General Equilibrium theory and game theory. Underlying these subjects is the theory of preferences, and utility which will be examined. The characterization of the excess demand function of an economy will conclude the first part of the course. In every instance, a detailed analysis of a simple case will be followed by a survey of work done in that area. An attempt will be made to bring out the mathematical theorems that play basic roles in the answers given to economic questions. The study of linear models of production will end the course. In that study, questions will be asked from economic, algebraic and computational view points.