- Department: Mathematics
- Module co-ordinator: Prof. Jacco Thijssen
- Credit value: 10 credits
- Credit level: H
- Academic year of delivery: 2022-23
- See module specification for other years: 2021-22
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
- None
Occurrence | Teaching period |
---|---|
A | Spring Term 2022-23 |
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 optimization. Topics to be discussed include Nash equilibria
in strategic-form games and the core of coalition-form games.
Throughout, an emphasis is placed on modelling realistic situations from areas like operations
research, finance, and economics. In addition, attention will be paid to the reporting of the analysis of
such models in the business context.
After successful completion, the student is able to
Linear optimisation
Game theory
Academic and graduate skills
The first few lectures are shared with the M-level version. During Weeks 5 and 6 this module shows (via videoed lectures) how to use Excel (or similar) to implement the algorithms computationally, whilst the M-level version of this module continue with lectures on the theoretical development and proofs. In Week 9 and 10 there is a similar divergence between the two modules, where students on this module learn about coalitional games, whilst the M-level students continue the lectures with more theoretical material, in particular a proof of the Nash theorem.
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Linear Optimization & Game Theory |
2 hours | 100 |
None
Task | Length | % of module mark |
---|---|---|
Closed/in-person Exam (Centrally scheduled) Linear Optimization & Game Theory |
2 hours | 100 |
|