Optimization and Chaos

This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal...

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Bibliographic Details
Main Authors: Majumdar, Mukul, Mitra, Tapan (Author), Nishimura, Kazuo (Author)
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000, 2000
Edition:1st ed. 2000
Series:Studies in Economic Theory
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Dynamical Systems: A Tutorial
  • 2 Introduction to Dynamic Optimization Theory
  • 3 Periodic and Chaotic Programs of Optimal Intertemporal Allocation in an Aggregative Model with Wealth Effects
  • 4 Optimal Chaos, Nonlinearity, and Feasibility Conditions
  • 5 The Local Bifurcation of Ramsey Equilibrium
  • 6 On the Structure of Ramsey Equilibirum: Cycles, Indeterminacy and Sunspots
  • 7 Robust Ergodic Chaos in Discounted Dynamic Optimization Models
  • 8 Non-Linear Dynamics and Chaos in Optimal Growth: A Constructive Exposition
  • 9 Ergodic Chaos in Optimal Growth Models with Low Discount Rates
  • 10 On the Minimum Rate of Impatience for Complicated Optimal Growth Paths
  • 11 An Exact Discount Factor Restriction for Period-Three Cycles in Dynamic Optimization Models
  • 12 On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles
  • 13 On the Relationship between Discounting and Entropy of Dynamic Optimization Models
  • References