Prof Bernhard Von Stengel and Mrs Nicola Wittur

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 and BSc in Mathematics, Statistics and Business. 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.

The course emphasises a formal treatment of mathematical Game Theory through definitions, theorems and proofs. 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 required.

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.

This course is delivered through a combination of classes and lectures totalling a minimum of 60 hours across Michaelmas and Lent Term. This year, some or all of this teaching will be delivered through a combination of virtual classes and lectures delivered as online videos.

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.

Exam (90%, duration: 3 hours) in the summer exam period.
Coursework (10%).

Weekly exercises will be set and marked, and count as coursework.

Department: Mathematics

Total students 2019/20: 22

Average class size 2019/20: 11

Capped 2019/20: No

Value: One Unit