讲座题目: Basins of Attraction in a Cournot Duopoly Map: Analysis, Linear Algebra, and Economics

主讲人: Douglas R. Anderson 教授, United International College

时  间: 2010年6月23号（周三）上午9:00

地  点: F203, 四维创新实验室

摘要:

We will introduce the economic concept of a Cournot Duopoly, first introduced by French economist Cournot in 1838. Then we will analyze a nonlinear discrete Cournot duopoly introduced by Austrian economist Koppel in 1996. In particular, we will use analysis methods from difference equations and linear algebra to understand the behavior of the system in relation to certain fixed points of the system. Using the professional software package Mathematica 7.0, we will illustrate graphically the effects that various eigenvalues of the linearization have on the system.