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MA402 Half Unit

Mathematical Game Theory

**This information is for the 2022/23 session.**

**Teacher responsible**

Dr Galit Ashkenazi-Golan COL 3.08

**Availability**

This course is available on the CEMS Exchange, MBA Exchange, 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).

**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 Michaelmas 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 2021/22: 22

Average class size 2021/22: 11

Controlled access 2021/22: 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