Advanced Fixed Point Theory for Economics

• Main Author: McLennan, Andrew (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Economic theory.; Game theory.; Economic Theory/Quantitative Economics/Mathematical Methods.; Game Theory, Economics, Social and Behav. Sciences.

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 implic...

Table of Contents:

• Chapter 1 Introduction and Summary
• Part I Topological Methods
• Chapter 2 Planes, Polyhedra, and Polytopes
• Chapter 3 Computing Fixed Points
• Chapter 4 Topologies on Spaces of Sets
• Chapter 5 Topologies on Functions and Correspondences
• Chapter 6 Metric Space Theory
• Chapter 7 Retracts
• Chapter 8 Essential Sets of Fixed Points
• Chapter 9 Approximation of Correspondences
• Part II Smooth Methods
• Chapter 10 Differentiable Manifolds
• Chapter 11 Sard's Theorem
• Chapter 12 Degree Theory
• Chapter 13 The Fixed Point Index
• Part III Applications and Extensions
• Chapter 14 Topological Consequences
• Chapter 15 Vector Fields and their Equilibria.