## mathemAtical methods for macroeconomics

author・Pascal Michaillat

date・September 2013

school・London School of Economics & Political Science

permalink・https://www.pascalmichaillat.org/t3.html

date・September 2013

school・London School of Economics & Political Science

permalink・https://www.pascalmichaillat.org/t3.html

overview・These lectures cover basic mathematical methods to study dynamical systems, in discrete time and in continuous time. Dynamical systems are systems that involve more than one time-period; they are prevalent in macroeconomics. The lectures first discuss dynamic programming, a method to solve discrete-time optimization problems. They then turn to optimal control, a method to solve continuous-time optimization problems. Finally, they show how to solve differential equations, which are key to describe continuous-time systems.

lecture notes 1・Dynamic Programming

lecture notes 2・Optimal Control

lecture notes 3・Differential Equations

lecture notes 2・Optimal Control

lecture notes 3・Differential Equations