14.451 Dynamic Optimization Methods with ApplicationsAs taught in: Fall 2009Level:Graduate
Instructors:
Prof. Guido Lorenzoni
SES #
TOPICS
READINGS
1-7
Discrete time: deterministic models
Vector spaces
[SLP] chapter 3.
The principle of optimality
[SLP] chapter 4.1
[Acemoglu] sections 6.2 to 6.3.
Concavity and differentiability of the value function
[SLP] section 4.2.
Euler equations
[SLP] section 4.5
Deterministic dynamics
[SLP] chapter 6.
Models with constant returns to scale
[SLP] section 4.3.
Nonstationary models
[Acemoglu] section 6.7.
8-9
Discrete time: stochastic models
Stochastic dynamic programming
[SLP] sections 9.1 to 9.2.
[Acemoglu] section 16.2.
Stochastic Euler equations
[SLP] section 9.5.
[Acemoglu] section 16.3.
Stochastic dynamics
[SLP] section 9.6, chapters 11 and 12.
10-12
Continuous time
Calculus of variations
[Acemoglu] section 7.1.
The maximum principle
[Acemoglu] sections 7.2 to 7.3.
Discounted infinite-horizon optimal control
[Acemoglu] section 7.5.
Saddle-path stability
[Acemoglu] section 7.8.




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