Advanced Fixed Point Theory for Economics

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...

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Hlavní autor: McLennan, Andrew (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Singapore , 2018.
Vydání:1st ed. 2018.
Témata:
Economic theory.
Game theory.
ISBN:9789811307102
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Obsah:
  • 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.

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