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Game Theory - Overview

Lecturers: Prof. Dr. Bernhard Nebel and Dr. Robert Mattmüller.
Exercises: Tim Schulte and Grigoris Mouratidis

Time

Lecture: Monday, 16:15-17:00 and Wednesday, 14:15-16:00.
Exercises: Monday, 17:15-18:00.

Place

Monday: Building 082, HS 00-006 (Kinohörsaal).
Wednesday: Building 101, HS 00-036.

Content

Game Theory is concerned with rational decision making to reach ones own goals. In particular, it is about interplay and conflicts between goals of different players, i.e., about the question in which way the knowledge of other players' goals influences ones own behavior. In this course, the following types of games are studied:

  • Strategic games
  • Extensive games

We will introduce formalizations as well as solution concepts and algorithms for finding solutions.

Furthermore, the course is concerned with the mechanism design problem, i.e., with the question how a social system should be designed such that all participants have an incentive to promote social welfare.

Requirements

For this course, no particular prerequisites are required. It is aimed both at Master's students and at third year Bachelor's students. Students with computer science as their minor subject are also welcome.

Bachelor's and Master's students in computer science can get credit points for this lecture as a specialization course in the area of cognitive technical systems. For Bachelor's students, passing an oral exam is required, and for Master's students, depending on the number of examinees, either passing an oral or passing a written exam. The exams will take place during the semester break after the lecture period.

For students with computer science as their minor subject the exam details depend on the particular degree program and will need to be discussed individually.

This course is worth 6 ECTS credits.

Exercises and Exam Admission Prerequisites

During the semester there will be weekly theoretical exercise sheets and sporadic practical exercises and didactic web-based experiments in game theory. To complete the practical exercise sheets, Python 3 foundations are assumed. In order to be admitted to the final exam, a student has to gain at least 50% of the marks from all exercises (theoretical, practical, web-based experiments).

All exercises except for the web-based experiments can and should be worked on in groups of two students. Larger groups and copied solutions or other types of plagiarism will not be accepted and will, on repetition, lead to disqualification from the final exam.