Lecture course in the autumn-winter term 2015

Game theory

Lectures: Prof. Dr. C. Hertling

Monday, 13:45 - 15:15, A5 C015, starting on 07.09.2015

Friday, 10:15 - 11:45, A5 C015, starting on 11.09.2015

Exercise session: Sven Balnojan

Monday, 15:30 - 17:00 , A5 C015, starting on 07.09.2015


A manuscript is provided. The third and final (modulo misprints) version is available on 24.11.2015, in the late afternoon. It contains the chapters 1-6. The changes to the second version from 23.10.2015 are inessential in the chapters 1-4 and 5.1+5.2+5.3. The only essential changes are in 5.4 in definition 5.33 (a)+(c), and of course in the new chapter 6. The manuscript and the exercise sheets are secured by a username and a password. In the lecture on 07.09.2015 username and password were announced. Version 24.11.2015


The 1st written exam took place on 21.12.2015, 11:30-13:00, room M 003. The 2nd exam took place on 10.02.2016, 09:00-10:30, room A5 B244.
Two old written exams (07.12.2012 and 05.02.2013) with solutions can be found on the homepage of my class Game theory in the HWS 2012 (user name and password are the same as for this page)
In order to be allowed to take part in the exam, one had to reach 96 points in the exercises.
The results of both written exams can be found on the Portal of the Uni Mannheim.
Klausureinsicht: On Monday, 15.02.2016, at 15:45-16:30 in A5 C013, the participants of both exams can look at their exams.
The 1st written exam is here, Exam 21.12.2015. Its official solutions are here, Exam 21.12.2015 with solutions. The 2nd written exam will not be published.


Each week (except the last week), starting on 07.09.2012, there will a sheet of exercises. All participants are advised to work out the exercises. They are integral part of the course. They complement the lectures by giving examples, and they give the chance to work yourself through typical arguments.
There will be 13 sheets altogether. Each will be worth 16 points. Up to two people can submit solutions together, at the beginning of the Monday lecture one week later. On the same day, in the exercise session official solutions will be discussed.
The students' solutions will be corrected and given back one week later, at the beginning of the exercise session.
In order to be allowed to take part in the exam, one has to reach 12 times 8 = 96 points in the exercises.

07.09.: Sheet 01, submission Monday 14.09.

14.09.: Sheet 02, submission Monday 21.09.

21.09.: Sheet 03, submission Monday 28.09.

28.09.: Sheet 04, submission Monday 05.10.

05.10.: Sheet 05, submission Monday 12.10.

12.10.: Sheet 06, submission Monday 19.10.

19.10.: Sheet 07, submission Monday 26.10.

26.10.: Sheet 08, submission Monday 02.11.

02.11.: Sheet 09, submission Monday 09.11.Bemerkungen zu einem Teil von Blatt 9, von Sven Balnojan

09.11.: Sheet 10, submission Monday 16.11.

16.11.: Sheet 11, submission Monday 23.11.

23.11.: Sheet 12, submission Monday 30.11.

30.11.: Sheet 13, submission Monday 07.12.


There are many good books on game theory. The book of von Neumann and Morgenstern founded game theory. The other books listed had been useful in preparing the course.

Walter Schlee: Einführung in die Spieltheorie. Mit Beispielen und Aufgaben. Vieweg Verlag, 2004.

Ken Binmore: Game theory. A very short introduction. Oxford University Press, 2007.

J. Gonzalez-Diaz, I. Garcia-Jurado, M.G. Fiestras-Janeiro: An introductory course on mathematical game theory. Graduate Studies in Mathematics vol. 115, AMS, 2010.

John von Neumann, Oskar Morgenstern: Theory of games and economic behaviour. Princeton University Press, 1944.

Manfred J. Holler, Gerhard Illing: Einführung in die Spieltheorie. Springer Verlag, 2006 (6. Auflage).

Siegfried K. Berninghaus, Karl-Martin Ehrhart, Werner Güth: Strategische Spiele. Springer Verlag, 2010 (3. Auflage).