Game Theory and Optimal Decision-Making

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Applied Mathematics

Synopsis:

Decision-making theory, utility theory. Explicit form games, backward induction. Normal form games. Antagonistic conflict, matrix games. Repeated games, evolutionary game theory. Cooperative games without transferable payoffs. Cooperative games with transferable payoffs (imputation, core, Shapley value, nucleolus). Applications of game theory above all in economics and transportation.

Requirements:

The subject is concluded by the written final exam.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Fundamental concepts of game theory, methods for particular models (explicit form games, normal form games, repeated games, cooperative games), applications of game theory.

Study materials:

Bierman, H.; Fernandez, L.: Game Theory with Economic Applications. Addison-Wesley, 1993.

Hykšová, M.: Game Theory. FD ČVUT, Prague, 2008.

Morris, P.: Introduction to Game Theory. Springer-Verlag, 1994.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Master Full-Time IS (joint degree) from 2023/24 (compulsory course)
• Master Full-Time LA from 2024/25 (compulsory course)
• Master Part-Time LA from 2024/25 (compulsory course)