The Resource Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)

Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)

Label
Advanced Fixed Point Theory for Economics
Title
Advanced Fixed Point Theory for Economics
Statement of responsibility
by Andrew McLennan
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
http://library.link/vocab/creatorName
McLennan, Andrew
Image bit depth
0
LC call number
HB1-846.8
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
http://library.link/vocab/subjectName
  • Game theory
  • Economics
  • Economics
  • Economic Theory/Quantitative Economics/Mathematical Methods
  • Game Theory, Economics, Social and Behav. Sciences
Label
Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XX, 432 p. 18 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9789811307102
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-13-0710-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-13-0710-2
Label
Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XX, 432 p. 18 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9789811307102
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-981-13-0710-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-981-13-0710-2

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