Table of contents
About this book
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 outstanding text for advanced graduate courses in economics and related disciplines.
fixed point theory topology topological degree fixed point index economic modeling game theory mathematical economics economic theory topological methods metric space theory Nash equilibrium multivariate calculus Brouwer fixed point theorem Schauder fixed point theorem Lefschetz fixed point theorem Kakutani fixed point theorem Eilenberg–Montgomery theorem Fan–Glicksberg theorem general equilibrium theory differentiable manifold
- DOI https://doi.org/10.1007/978-981-13-0710-2
- Copyright Information Springer Nature Singapore Pte Ltd. 2018
- Publisher Name Springer, Singapore
- eBook Packages Economics and Finance
- Print ISBN 978-981-13-0709-6
- Online ISBN 978-981-13-0710-2
- Buy this book on publisher's site
- Industry Sectors
- Finance, Business & Banking