This is a crash course in dynamic optimization for economists consisting of three parts. Part 1 discusses the preliminaries such as basic definitions and notational conventions and an introduction to difference equations and differential equations. Part 2 introduces dynamic optimization in discrete time, first motivated by a standard Lagrangian approach and then moving on to the approach of Hamilton-Jacobi-Bellman. Finally, part 3 introduces dynamic optimization in continuous time by means of Pontryagin's maximum principle.
For part 2, please see
https://youtu.be/o3ai8iN5vcc
For the full playlist on Optimization for Economists, please see
https://www.youtube.com/playlist?list=PLHCd4G3qW92lp96KSCgby9gMPMDzL_p9_
For applications of dynamic optimization in macroeconomics, please see
https://www.youtube.com/playlist?list=PLHCd4G3qW92kRLjoJN32TNz5QyhftE83j
#optimization #dynamics #macroeconomics #economicgrowth
