Llicenciatura en Administraciķ i Direcciķ d'Empreses (3323)
Llicenciatura en Economia (3322)
Introducciķ a l'Economia Matemātica(10092)
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.
Bibliografia
ARROW, K. J. Social Choice and Individual Values. Wiley, 1970, 2n. ed.
ARROW, K. J. and HAHN, F. General Competitive Analysis. Holden-Day, 1971.
ARROW, K. J. and INTRILIGATOR, M. D. Handbook of Mathematical Economics. 3 vols., Amsterdam: North-Holland, 1981-86.
CORNWALL, R.R., Introduction to the Use of General Equilibrium Analysis. North-Holland, 1984.
COURANT, R. and ROBBINS, H. What is Mathematics? Oxford: Oxford University Press, 1941.
DANTZIG, G. Linear Programming and Extensions. Princeton University Press, 1963.
DEBREU, G. Theory of Value. Cowles Foundation Monograph 17. New Haven: Yale University Press, 1959.
DEBREU, G. Mathematical Economics. Cambridge: Cambridge University Press, 1983.
DORFMAN, R., SAMUELSON, P. A. and SOLOW, R. M. Linear Programming and Economic Analysis. Nova York: McGraw-Hill, 1958.
EATWELL, J., MILGATE, M and NEWMAN, P., eds. The New Plagrave. General Equilibrium. W. W. Norton, 1989.
EGGLESTON, H. G. Convexity. Cambridge University Press, 1958.
GALE, D. The Theory of Linear Economic Models. McGraw-Hill, 1960.
HILDENBRAND, W. and KIRMAN, A. Equilibrium Analysis. Advanced Textbooks in Economics, Vol. 28, Amsterdam: North-Holland, 1988.
INTRILIGATOR, M. Mathematical Optimization and Economic Theory. Englewood Cliffs: Prentice-Hall, 1971.
JEHLE, G. A. Advanced Microeconomic Theoty. Englewood Cliffs: Prentice-Hall, 1991.
KOOPMANS, T. C. Three Essays on the State of Economic Science. McGraw-Hill, 1957.
LUCE, D. and RAIFFA, H. Game and Decisions. Dover, 1989.
MAS-COLELL, A., WHISTON, M. GREEN, J. R. Microeconomic Theory. Nova York; Oxford University Press, 1995.
MCGUIRE, C. B. and RADNER, R. Decision and Organization. Amsterdam: North-Holland, 1972.
MALINVAUD, E. Lectures on Microeconomic Theory. Amsterdam: North-Holland, 1972.
QUIRK, J. and SAPOSNIK, R. Introduction to General Equilibrium Theory and Welfare Economics. Amsterdam: North-Holland, 1972.
RADER, T. Theory of Microeconomics. Academic Press, 1972.
ROSENLICHT, M. Introduction to Analysis. Dover, 1986.
SAVAGE, L. J. The Foundations of Statistics. Wiley, 1954.
SCARF, H. The Computation of Economic Equilibria. New Haven: Yale University Press, 1973.
SHUBIK, M. Game Theory in the Social Sciences. London: M.I.T. Press, 1982.
VARIAN, H. R. Microeconomic Analysis. Nova York: Norton, 1978.