Economic Topology Methods

Author: Wang Zekuo, Zuo Zaishi, Li Zhiqiang (editors)
Publisher:
Publish Date: 2002-10-01
Features: In the decades following the 20th century, topological methods have achieved great success in fields such as economic equilibrium and game theory, with several economists even winning the Nobel Prize for their contributions. The purpose of this book is to help readers understand and master the fundamental concepts, basic methods, and typical applications of topology, especially its applications in economics. The book is divided into three parts: the first part covers the basics of point-set topology, the second part discusses algebraic topology techniques, and the third part introduces differential topology. The Sard theorem in the latter part demonstrates that the probability of "good" outcomes is 1, so there is no need to be paralyzed by the possibility of "bad" outcomes. The last two parts, comprising six chapters, focus on Nobel Prize-level applications in economics.