On successful completion of this module, students will be able to:
using the simplex method;
describe and justify with reasoned logical argument basic
properties of convex sets in finite-dimensional spaces;
describe and justify with reasoned logical argument basic
properties of simplices and simplicial complexes;
describe in reasonable detail how techniques from
real analysis and low-dimensional topology can be applied
to investigate the existence and properties of equilibria
in simple economic models.
Module Content
Review of results from real analysis
Properties of convex subsets of finite-dimensional spaces
Simplices and simplicial complexes
Barycentric subdivision and the Simplicial Approximation Theorem
The Brouwer and Katukani Fixed Point Theorems
Mathematical models of simple economies.
Proof of the existence of equilibria in economic modules
Module Prerequisite
MA1124 or MA2223.
Assessment Detail
This module will be examined in a 2-hour examination
in Trinity term.