GAME THEORY WITH APPLICATIONS IN ECONOMICS AND BIOLOGY - 2017/8

Module code: MAT3046

Module provider

Mathematics

Module Leader

SKELDON A Dr (Maths)

Number of Credits

15

ECT Credits

7.5

Framework

FHEQ Level 6

JACs code

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Assessment pattern

Assessment type Unit of assessment Weighting
Examination EXAMNIATION 80%
School-timetabled exam/test IN-SEMESTER TEST 20%

Alternative Assessment

N/A

Prerequisites / Co-requisites

NONE.

Module overview

This module introduces the topic of Game Theory and various mathematical techniques used in the analysis of games. Classic examples of games are introduced including those with application in economics and biology. The theoretical backbone is a combination of Calculus, Linear Algebra, Ordinary Differential Equations and, in the case of mixed strategies for games, Probability.

Module aims

Learning outcomes

Attributes Developed

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Module content

Indicative content includes:



Combinatorial games


Extensive games


Zero sum games


General sum games such as the Prisoner’s Dilemma and the Public Goods Game.


Evolutionary games


The Kuhn-Tuckeer-Karush Theorem


Application of Brouwer's Fixed-Point Theorem.



 

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

 



Give a detailed introduction to Game Theory, which requires understanding and studying a range of mathematical techniques, including methods of solution for nonlinear programming problems.


Ensure experience is gained (through demonstration) of the methods typically used to formulate and solve game theory problems so that students can later apply their own decision-making to formulate and solve game theoretic problems.



 

The learning and teaching methods include:

 

3 x 1 hour lectures per week for 11 weeks, including notes plus extra examples written and worked through on the board (or projector-display) .  This also includes Q&A opportunities for students.

 

Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate:



Subject knowledge through explicit and implicit recall of key definitions and theorems as well as interpreting this theory.


Understanding and application of subject knowledge to solve constrained optimization problems, originating from two-player zero-sum/constant-sum/general-sum games, including repeated and evolutionary games



 

Thus, the summative assessment for this module consists of:

 



One two-hour examination (three answers from four contribute to exam mark) at the end of the semester; worth % of module mark.


One in-semester test; worth 20% of module mark.



 

Formative assessment and feedback

 

Students receive individual written feedback via a number of marked formative coursework assignments over an 11-week period.  The lecturer also provides verbal group feedback during lectures.  (Occasionally group feedback may be provided online when applicable.)

 

Reading list

Reading list for GAME THEORY WITH APPLICATIONS IN ECONOMICS AND BIOLOGY : http://aspire.surrey.ac.uk/modules/mat3046

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.