ECO 7118

Graduate Seminar in Economic Theory

aka Dynamic Modeling

Fridays 9:30am to about noon, Room PC 310

This course covers a number of topics in applied mathematical modeling for economists. The course material is based on the lecture notes available here. Grading in the course will be based on a number of problem sets, a mid-term and a final.


Contents
Chapter 1. Differential Equations
1. Linear differential equations
2. Nonlinear differential equation
3. Systems of differential equations
          Further reading
          Reference
Chapter 2. Optimal Control
1. An economic interpretation of optimal control theory
2. The Hamiltonian and the maximum principle
3. Alternative problem types and the transversality condition
4. Multiple controls and state variables
5. When are necessary conditions also sufficient
6. Infinite planning horizons
7. Infinite horizon problems and steady states
8. Applications from growth
           Further reading
           References
Chapter 3. Difference Equations
1. Deterministic difference equations
2. Rational expectations and uncertainty
3. Nonlinear difference equations
          Further reading
          Reference
Chapter 4. Introduction to Dynamic Programming
1. Deterministic finite-horizon problems
2. Deterministic infinite-horizon problems
3. Dynamic programming and optimal control
4. Stochastic dynamic programming
5. Approximations, algebraic and numerical
          Further reading
          References
Chapter 5. Applications of Dynamic Programming
1. Discrete choice problems
2. Optimal stopping problems
3. Continous choice models
4. Transactions costs
5. Time inconsistency
         Further reading
       References