22-30.105 Dynamic Optimization

Veranstaltungsdetails

Lehrende: Prof. Dr. Olaf Posch

Veranstaltungsart: Interaktive Lehrveranstaltung

Anzeige im Stundenplan: Dynamic Optimization

Semesterwochenstunden: 3

Credits: 6,0

Unterrichtssprache: Englisch

Min. | Max. Teilnehmerzahl: - | 45

Kommentare/ Inhalte:
This course provides a toolbox for solving dynamic optimization problems in economic models. In particular, we review the mathematical tools required for courses in economics including calculus of variation, control theory, and dynamic programming. We then study models in continuous and discrete time. Throughout the course, the optimization problems are illustrated using various examples in economics. The course is designed to be accessible to anybody who has had a basic training in mathematical analysis of dynamic systems such as topics in difference and differential equations.

Dynamic Optimization:


  • Basics in static optimization
  • Calculus of variations
  • Control theory
  • Discrete-time optimization

Attending this course allows students to strengthen their profile with a strong focus on methods in economics. It is highly recommended to students considering writing a thesis within dynamic economic theory such as economic growth, resources economics, climate systems and business cycle theorys above and/or interested in further studies in economics.

Lernziel:
After this course, the students are able to ...


  • reflect on static optimization problems with equality and inequality constraints
  • theorize on variational problems and control problems
  • formulate and solve dynamic optimization problems in economics
  • apply the maximum principle and the Euler equation
  • apply control theory and dynamic programming solution techniques
  • relate to concepts for finite and infinite horizon problems

Objective: Students develop their skills on theoretical mathematical concepts for solving dynamic optimization problems in economics.

Vorgehen:
- this course emphasizes economics not only to motivate a mathematical topic, but also to help acquire mathematical intuition
- focus on techniques particularly useful in economics and not necessarily on mathematical proofs
- the examples in this lecture cover a wide range of models in economics
- every section includes worked examples and problems for students to solve as exercises

Dynamic Optimization: Interactive Lecture (3 SWS)

Literatur:
- Sydsæter, Knut, Peter Hammond, Atle Seierstad and Arne Strøm, Further Mathematics for Economic Analysis (FMEA), Prentice Hall, 2nd edition, 2008

Termine
Datum Von Bis Raum Lehrende
1 Do, 6. Apr. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
2 Do, 13. Apr. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
3 Do, 20. Apr. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
4 Do, 27. Apr. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
5 Do, 4. Mai 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
6 Do, 11. Mai 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
7 Do, 18. Mai 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
8 Do, 1. Jun. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
9 Do, 15. Jun. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
10 Do, 22. Jun. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
11 Do, 29. Jun. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
12 Do, 6. Jul. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
13 Do, 13. Jul. 2017 14:00 17:00 WiWi 0029 Prof. Dr. Olaf Posch
Prüfungen im Rahmen von Modulen
Modul (Startsemester)/ Kurs Leistungs­kombination Prüfung Datum Lehrende Bestehens­pflicht
22-3.E28 Dynamic Optimization (SoSe 17) / 22-3.e28  Dynamic Optimization Klausur 1  Klausur Do, 27. Jul. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
2  Klausur Do, 5. Okt. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
Econ_E28 Dynamic Optimization (SoSe 14) / 22-3.e28  Dynamic Optimization Klausur oder mündliche Prüfung 5  Klausur Do, 27. Jul. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
6  Klausur Do, 5. Okt. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
Econ_E28 Dynamic Optimization (SoSe 16) / 22-3.e28  Dynamic Optimization Klausur oder mündliche Prüfung 3  Klausur Do, 27. Jul. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
4  Klausur Do, 5. Okt. 2017, 14:15 - 15:45 Prof. Dr. Olaf Posch Ja
Übersicht der Kurstermine
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Lehrende
Prof. Dr. Olaf Posch