Overview

This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstandingtext for advanced graduate courses in economics and related disciplines.

Full Product Details

9789811307096

Table of Contents

Reviews

The book realizes a remarkable synthesis, introducing the reader to the blend of economic insight, mathematical elegance and scientific impact. 'Advance Fixed Point Theory for Economics' is, in my opinion, an excellent book of mathematics for graduate students and researchers in theoretical economics and related disciplines. (Mircea Balaj, zbMath 1418.91005, 2019)

Author Information

Andrew McLennan received his PhD from Princeton in 1982 under the supervision of Hugo Sonnenschein, and is currently Professor at the University of Queensland School of Economics. His primary research interests are in game theory, mathematical economics and microeconomics.

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available