Advanced Fixed Point Theory for Economics

AvAndrew McLennan

Häftad, Engelska, 2019

1 378 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2019-01-19
Mått:155 x 235 x undefined mm
Format:Häftad
Språk:Engelska
Antal sidor:432
Förlag:Springer Verlag, Singapore
ISBN:9789811344855

Utforska kategorier

Nationalekonomi inom Ekonomi och Ledarskap
Optimering inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

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.