Speaker:  Douglas R. Anderson, Concordia College 

Title: Basins of Attraction in a Cournot Duopoly Map

Abstract: Discrete dynamical systems are introduced. Then, for a 
nonlinear Cournot duopoly map developed by Austrian economist Michael 
Kopel, we show that a circle, lines, and rectangles play a key role 
in determining the basins of attraction in the case of three nontrivial 
Nash equilibria; these simple results were part of a summer project 
with two mathematics and economics double majors at Concordia.