EC220: Mathematical Economics 1A
Introduction
Mathematical Economics 1A, "Game Theory," is an introduction to the rigorous mathematical study of strategic interactions. Students will learn how game theorists model such interactions, and how those models can be analyzed. By the end of the module, they will have developed a formidable toolbox of game-theoretic techniques, and will be familiar with a variety of applications of these techniques to real-world situations, both economic and otherwise.
Principal Aims
Mathematical Economics 1a, 鈥淚ntroduction to Game Theory鈥, aims to provide a basic understanding of pure game theory and also introduce the student to a number of applications of game theory to economic problems of resource allocation.
Principal Learning Outcomes
Subject Specific and Professional Skills:...demonstrate understanding of the tools of game theory, and the ability to apply them to wide classes of problems.
Syllabus
The module will typically cover the following topics:Games in strategic form: Nash equilibrium and its applications to voting games, oligopoly, provision of public goods.Games in extensive form: sub game perfect equilibrium and its applications to voting games, repeated games.Static games with incomplete information: Bayesian equilibrium and its applications to auctions, contracts and mechanism design.Dynamic games of incomplete information: Perfect Bayesian equilibrium, Sequential equilibrium and its application to signalling games.Bargaining theory: Nash bargaining, non-cooperative bargaining with alternating offers and applications to economic markets.Evolutionary Game Theory
Context
- Core Module
- Y602 - Year 2, G300 - Year 2
- Optional Core Module
- GL11 - Year 2, GL12 - Year 2
- Optional Module
- L100 - Year 2, L1P5 - Year 1, L1PA - Year 1, LM1D (LLD2) - Year 2, V7ML - Year 3, V7MP - Year 2, V7MP - Year 3, V7MR - Year 2, V7MR - Year 3, V7MM - Year 4, V7ML - Year 2, G100 - Year 2, G100 - Year 3, G103 - Year 2, G103 - Year 3, R9L1 - Year 4, R3L4 - Year 4, R4L1 - Year 4, R2L4 - Year 4, R1L4 - Year 4, L1L8 - Year 2, L1L8 - Year 3, LA99 - Year 2, LA99 - Year 3, L1CA - Year 2, L1CC - Year 2, L1CE - Year 2, R2L5 - Year 2, R4LA - Year 2, R1L5 - Year 2
- Pre or Co-requisites
Any of:
EC106-24 Introduction to Economics OR
EC107-30 Economics 1 OR
EC109-30 Microeconomics 1 OR
EC137-15 Economics 1: Micro
AND
EC139-15 Mathematical Techniques A AND
EC122-15 Statistical Techniques A
OR
EC140-15 Mathematical Techniques B AND
EC124-15 Statistical Techniques B AND
EC106 or EC107 for GL11 and other Maths students
Summary:Modules: (EC106-30 or EC107-30 or EC109-30) and (EC139-15 and EC122-15) and (EC140-15 and EC124-15)
Assessment
- Assessment Method
- Centrally-timetabled examination (On-campus) (100%)
- Coursework Details
- Centrally-timetabled examination (On-campus) (100%)
- Exam Timing
- Summer