Economic Topology Methods

Author: Wang Zekuo
Publisher:
Publish Date: 2002-01-01
Features: In the decades following the 20th century, topological methods have achieved significant success in fields such as economic equilibrium and game theory, leading several economists to win the Nobel Prize. 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. Part of the book is on the foundations of point-set topology, the second part covers algebraic topology techniques, and the third part introduces differential topology. The Sard theorem in this section 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, totaling six chapters, focus on Nobel Prize-level applications in economics.