- Department: Mathematics
- Module co-ordinator: Prof. Jacco Thijssen
- Credit value: 10 credits
- Credit level: M
- Academic year of delivery: 2021-22
- See module specification for other years: 2022-23
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
Occurrence | Teaching period |
---|---|
A | Spring Term 2021-22 |
The first part of the module provides students with knowledge and skills to solve a wide variety of linear optimisation problems that are commonly encountered in operations research, finance and economics. The theory of linear optimisation will be discussed together with solution methods, such as the simplex method. Students are given the opportunity to solve and analyse realistic, though simplified, models using widely-used spreadsheet software.
The second part of the module is an introduction to the theory of games, with a focus on those concepts that have a close link with linear optimisation. Topics to be discussed include Nash equilibria in strategic-form games and the core of coalition-form games.
Throughout, an emphasis is placed on the mathematical development of the theory of linear optimisation and the theory of games. Concepts from real analysis and metric spaces will be used to prove some of the important theorems of these theories.
After successful completion, the student is able to
Linear optimisation
Game theory
Academic and graduate skills
The first few lectures are shared with the H-level version. During Weeks 5 and 6 this module continues with lectures on the theoretical development and proofs, whilst the H-level module shows (via videoed lectures) how to use Excel (or similar) to implement the algorithms computationally. In Weeks 9 and 10 there is a similar divergence between the two modules, where students on this module continue the lectures with more theoretical material, in particular a proof of the Nash theorem, whilst the H-level students learn more about the applications of coalitional games.
Task | Length | % of module mark |
---|---|---|
Online Exam -less than 24hrs (Centrally scheduled) Linear Optimisation and Game Theory |
2 hours | 100 |
None
Task | Length | % of module mark |
---|---|---|
Online Exam -less than 24hrs (Centrally scheduled) Linear Optimisation and Game Theory |
2 hours | 100 |
Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.