Not available in 2020/21
MA413 Half Unit
Games of Incomplete Information
This information is for the 2020/21 session.
Dr Robert Simon COL 4.07
This course is available on the MSc in Applicable Mathematics. This course is available with permission as an outside option to students on other programmes where regulations permit.
Students should be familiar with the related mathematics of topology and functional analysis. Some degree of mathematical maturity is expected.
The techniques and results of game theory are increasingly important to economic analysis. This course focuses on the problems of information incompleteness and information asymmetry. This is a relatively new but rapidly expanding area of game theory with connections to several areas of economic theory, for example conflict resolution, auctions, principal-agent problems, and the logic of knowledge. The course is divided into three parts, I Basic Results, II Repeated Games, III Bayesian Games. For the first part we cover the Min-max Theorem and Nash's Theorem of Equilibrium Existence, Extensive Form and Discounted Games. For the second part we cover Zero-sum Games with Vector Payoffs, Repeated Game of Incomplete Information on One Side, and myopic equilibria. For the third part we cover Common Knowledge, Zero-Sum Bayesian Games, Locally Finite Games, and Non-Zero-Sum Bayesian Games in the theoretical context of ergodic theory.
20 hours of lectures and 10 hours of seminars in the LT. 2 hours of lectures in the ST.
Weekly exercises are set and marked.
A full set of lecture notes will be provided. Useful accompanying texts are Robert J. Aumann and Michael B. Maschler, Repeated Games with Incomplete Information, MIT Press, 1995; L. Breiman, Probability; K. Border, Fixed Point Theorems with Applications to Economics and Game Theory; R Myserson, Game Theory, Analysis of Conflict, Harvard University Press; D Fudenberg & J Tirole, Game Theory, MIT Press.
Exam (100%, duration: 2 hours) in the summer exam period.
Important information in response to COVID-19
Please note that during 2020/21 academic year some variation to teaching and learning activities may be required to respond to changes in public health advice and/or to account for the situation of students in attendance on campus and those studying online during the early part of the academic year. For assessment, this may involve changes to mode of delivery and/or the format or weighting of assessments. Changes will only be made if required and students will be notified about any changes to teaching or assessment plans at the earliest opportunity.
Total students 2019/20: 2
Average class size 2019/20: 2
Controlled access 2019/20: No
Value: Half Unit
Personal development skills
- Problem solving
- Application of information skills
- Application of numeracy skills
- Specialist skills