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MA402 Half Unit

Mathematical Game Theory

**This information is for the 2024/25 session.**

**Teacher responsible**

Dr Galit Ashkenazi-Golan COL 3.08

**Availability**

This course is available on the CEMS Exchange, MBA Exchange, MPA in Data Science for Public Policy, MSc in Applicable Mathematics, MSc in Financial Mathematics and MSc in Operations Research & Analytics. This course is available as an outside option to students on other programmes where regulations permit.

It is not available to students who have taken Game Theory (MA330) or Game Theory I (MA301).

Students on the MPA in Data Science for Public Policy are required to seek permission to take this course.

**Pre-requisites**

Familiarity with a rigorous treatment of mathematics (through definitions, theorems and proofs) is expected. Students must know basics of linear algebra (matrix multiplication, geometric interpretation of vectors), analysis (continuity, closed sets), and probability theory (expected value, conditional probability, independence of random events).

**Course content**

Concepts and methods of mathematical game theory. Nim and combinatorial games. Congestion games. Games in strategic form, dominated strategies, Nash equilibrium. Cournot quantity competition. Game trees with perfect information, backward induction. Commitment. Expected utility. Mixed equilibrium. Zero-sum games, maxmin strategies. Extensive games with information sets, behaviour strategies, perfect recall. Bargaining. Geometry of equilibria.

**Teaching**

This course is delivered through a combination of classes and lectures totalling a minimum of 30 hours across Autumn Term.

**Formative coursework**

Weekly exercises are set and marked.

**Indicative reading**

Required text: B von Stengel, Game Theory Basics. Cambridge University Press, 2022.

**Assessment**

Exam (90%, duration: 2 hours) in the January exam period.

Continuous assessment (10%).

** Key facts **

Department: Mathematics

Total students 2023/24: 35

Average class size 2023/24: 19

Controlled access 2023/24: No

Value: Half Unit

**Course selection videos**

Some departments have produced short videos to introduce their courses. Please refer to the course selection videos index page for further information.

**Personal development skills**

- Self-management
- Problem solving
- Application of information skills
- Communication
- Application of numeracy skills
- Specialist skills