School of Business and Economics
Dynamic Modelling and Dynamic Optimisation
Full course description
Besides a great amount of static models in Economic Theory dynamic models are also frequently studied. These models can be found in various fields such as Macro and Micro Economics, Public Choice, Game Theory and Finance. First, dynamic models, in terms of systems of differential equations are studied with respect to stability. Next optimal control problems are solved by means of the maximum principle of Pontryagin. Applications range from optimal investment to optimal fishing and problems concerning environmental economics.Course objectives
In this course the student will learn to analyse stability properties of equilibria of dynamic systems in qualitative terms,to apply the maximum principle to optimal control problems, draw phase diagrams with Mathematica and use these to analyse solutions of optimal control problems.
Prerequisites
The student should be familiar with- linear differential equations,
- non-linear optimisation,
- standard calculus on functions of more than one variable.
Exchange students need to follow a Bachelor in economics.
An advanced level of English.
Recommended reading
Léonard, D. and N. van Long, Optimal Control Theory and Static Optimization in Economics, Cambridge University Press, Cambridge, UK, 1992, ISBN 0-521-33746-1Electronic Courseware for Mathematica.
EBC2116
Period 4
3 Feb 2025
4 Apr 2025
ECTS credits:
6.5Instruction language:
EnglishCoordinator:
- M.J.W. Schröder
Teaching methods:
Assignment(s), Lecture(s), PBL, Work in subgroupsAssessment methods:
Final paper, Presentation, Written exam