Existence of optimal plans. Euler-Lagrange equations and conditions of transversality. The Bellman method. The Blackwell theorem. Properties of value function. The Turnpike theorem. Existence of chaotic solutions. The case of uncertainty: Existence of invariant measures, weak convergence to stationary state. The Brock & Mirman model.
ARAÚJO, A. – Introdução à Economia Dinâmica, Colóquio Brasileiro de Matemática, IMPA, 1993.
STOKEY, N., LUCAS, R. – Recursive Methods in Economics Dynamics, Harvard Press, 1989.
WITTLE, P. – Optimization Over Time, Vols. I, II, New York; John Wiley and Sons, 1982.
* Standard program. The teacher has the autonomy to make any changes