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  1. the basic objects of Dynamic Programming, namely the value function, the optimality principle and the Hamilton-Jacobi-Bellman equation, we show how to use this technique to construct optimal trajectories.

  2. Course Notes On Dynamic Optimization (Fall 2023) Lecture 1A: intro to DP. Instructor: Daniel Russo. Email: djr2174@gsb.columbia.edu. Graduate Instructor: David Cheikhi. Email: d.cheikhi@columbia.edu. September 9, 2023. These notes are based of scribed notes from a previous edition of the class.

  3. Statement of Basic Optimal Growth Problem. consumption path C is a mapping [t0; t1] 3 t 7!C(t) 2 R+. A capital path K is a mapping [t0; t1] 3 t 7!K(t) 2 R+. Given K(0) at time 0, the benevolent planner's objective is to choose the pair (C; K) in order to maximize. t1.

  4. Dynamic Optimization and Optimal Control. Mark Dean+. Lecture Notes for Fall 2014 PhD Class - Brown University. 1 Introduction. To finish off the course, we are going to take a laughably quick look at optimization problems in dynamic settings.

  5. This class covers several topics from in nite dimensional optimization the- ory, mainly the rigorous mathematical theories for the calculus of variations and optimal control theory.

  6. Course Notes On Dynamic Optimization (Fall 2023) Lecture 8: Online value iteration and optimistic exploration. Instructor: Daniel Russo. Email: djr2174@gsb.columbia.edu. Graduate Instructor: David Cheikhi. Email: d.cheikhi@columbia.edu. These notes are partly based of scribed notes from a previous edition of the class.

  7. This course focuses on dynamic optimization methods, both in discrete and in continuous time. We approach these problems from a dynamic programming and optimal control perspective. We also study the dynamic systems that come from the solutions to these problems.

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