# Game theory (HWS 2022/23)

Manuscript and lectures (as videos) by Prof. Dr. C. Hertling.
Exercises (in presence) by K. Larabi.
Manuscript + videos on it and the 13 exercise sheets are on the ILIAS account of the course. Participants should enroll there.

### Manuscript and Lectures

A manuscript is available on the ILIAS account of the course.

Originally Dr. M. Mase should give the lectures in presence. But she left Mannheim. Now the lectures are offered as videos, made by Prof. Dr. C. Hertling for the course in the autumn 2020. That course took place in 12 weeks. The videos still show the dates and the weeks. Please ignore them. The names of the videos show which points of the manuscript are treated in them. The videos are available on the ILIAS account of the course and on the youtube channel Mathe Mannheim.

The following partition of the manuscript and videos into weeks is recommended (in order to solve the exercises of each week), but you are free to go through the material faster.
05.-09.09.2022: 2.1 – 2.17.
12.-16.09.2022: 2.18 – 2.31.
19.-23.09.2022: 2.32 – 2.42.
26.-30.09.2022: 3.1 – 3.10.
03.-07.10.2022: 3.11 – 3.12 without (e) + 3.13 + 3.16.
10.-14.10.2022: 3.12(e) + 3.14 + 3.15 + 3.17 – 3.22.
17.-21.10.2022: 4.1 – 4.11.
24.-28.10.2022: 5.1 – 5.13.
31.10.-04.11.2022: 5.14 – 5.21(ii).
07.-11.11.2022: 5.21(iii) – 5.31.
14.-18.11.2022: 5.32 – 5.40 without the general proof of 5.38.
21.-25.11.2022: General proof of 5.38 + 5.41 + 6.1 – 6.12.
28.11.-02.12.2022: 6.13 – 6.26 without proof of 6.26.
05.-09.12.2022: Proof of 6.26 + 6.28.

### Exercise sessions

K. Larabi, Tuesday 13:45–15:15, from 13.09. until 06.12.2022, in A5 C013.

Solutions to the weekly exercises will be explained in these exercise sessions.

### Exercises

On each Tuesday from 06.09.2022 to 29.11.2022, there will be a new sheet of exercises on ILIAS. 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, until Tuesday at 13:35 one week later, digitally via ILIAS or in paper form in a box in the entrance of the C-part in A5. Official solutions will be discussed on the same Tuesday at 13:45–15:15. The students' solutions will be graded as fast as possible. The results will be on ILIAS resp. (for the submissions in the box in A5) in the exercise lecture next Tuesday.
In order to be allowed to take part in the exam, one has to reach 13x8 = 104 points in the exercises.

### Exam

The exam is a written exam of 90 min. The 1st exam was on December 16, 2022, at 08:30–10:00 in A5 B144. The grades of the 1st exam are now on the portal. The 1st exam with solutions and a translation from points into grades is on ILIAS. Klausureinsicht: On 10.01.2023 at 14:00–14:30 in B6, B416. A second possibility will be on 17.02.2023 at 11:00–11:30 in B6, A302, together with the Klausureinsicht for the 2nd exam.

The 2nd exam was on February 09. 2023, at 08:30–10:00 in A5, B243. The grades of the 2nd exam are now on the portal. Klausureinsicht: On 17.02.2023 at 11:00–11:30 in B6, A302.

For participation in the exam, one has to reach 13x8=104 points in the exercises. Four old exams are on ILIAS (in the folder Exams).

### Literature

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).