## MA300Game Theory

This information is for the 2018/19 session.

Teacher responsible

Dr Paul Duetting and Prof Olivier Gossner

Availability

This course is available on the BSc in Accounting and Finance, BSc in Business Mathematics and Statistics, BSc in Econometrics and Mathematical Economics, BSc in Economics, BSc in Mathematics and Economics, BSc in Mathematics with Economics, BSc in Mathematics, Statistics, and Business and BSc in Statistics with Finance. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.

Pre-requisites

The course emphasise a formal treatment of Game Theory through definitions, theorems and proofs. Some familiarity with a rigorous treatment of mathematics is expected. Basic knowledge of matrices as covered in Mathematical Methods (MA100) or Quantitative Methods (MA107) as well as some knowledge of probability is useful.

Course content

Concepts and methods of game theory with applications to economics. MA300.1: same as for Game Theory I (MA301). MA300.2: Coalitional game theory - central solution concepts with application: the core, Shapley value, stable sets, weighted majority games, market games, stable matching.

Teaching

20 hours of lectures and 10 hours of classes in the MT. 22 hours of lectures and 10 hours of classes in the LT. 2 hours of lectures in the ST.

Formative coursework

Written answers to set problems will be expected on a weekly basis.

Lecture slides will be provided, as well as references to selected papers. Further reading: R Gibbons, A Primer in Game Theory, 1992; A Mas-Colell, M Whinston, J Green: Microeconomic Theory; M Osborne, A Rubinstein: A Course in Game Theory; M Maschler, E Solan, S Zamir: Game Theory.

Assessment

Exam (100%, duration: 3 hours) in the summer exam period.

Key facts

Department: Mathematics

Total students 2017/18: 28

Average class size 2017/18: 14

Capped 2017/18: No

Lecture capture used 2017/18: Yes (MT & LT)

Value: One Unit

Guidelines for interpreting course guide information

PDAM skills

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