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

MAU11204

Assessment Detail

This module will be examined in a 2-hour examination
in Trinity term.