Mathematical Economics and Finance I

Elements of game theory; Nash theorem; Theorems of general equilibrium existence; First and second welfare theorems; Arrow’s impossibility theorem; Core theory; Expected utility theory; Risk aversion; Stochastic Dominace; State price models; Capital asset pricing model.

References:
ARAUJO, A. – Introdução à Economia Matemática, Rio de Janeiro, 14^o Colóquio Brasileiro de Matemática, IMPA, 1984.
DEBREU, G. – Theory of Value, Cowles Foundation, Yale University Presss, 1959.
DUFFIER, D. – Dynamic Asset Pricing Theory, 2^nd ed., Princeton University Press, 1996.
HUANG, C. , LITZENBERG, R. – Foundations for Financial Economics, North-Holland Publishing Co., New York-Amsterdam, 1988.
MAS-COLELL, A., WHINSTON, M. e GREEN, J. – Microeconomic Theory, Oxford University Press, 1995.

* Standard program. The teacher has the autonomy to make any changes.