Dr Paul Duetting and Prof Olivier Gossner

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.

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.

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.

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.

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