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Optimal Chaos, Nonlinearity and Feasibility Conditions

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  • Nishimura, Kazuo
  • Yano, Makoto

Abstract

This study constructs a class of dynamic models in which optimal paths are generated by nonlinear transition functions similar to a tent map. We provide a sufficient condition under which such a transition function is a chaotic map. This characterization provides a way to construct complex nonlinear dynamics in a broad range of dynamic economic models.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 4 (1994)
Issue (Month): 5 (August)
Pages: 689-704

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Handle: RePEc:spr:joecth:v:4:y:1994:i:5:p:689-704

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Cited by:
  1. Nishimura, Kazuo & Yano, Makoto, 1995. "Durable capital and chaos in competitive business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 165-181, July.
  2. Baierla, Gary & Nishimura, Kazuo & Yano, Makoto, 1998. "The role of capital depreciation in multi-sectoral models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 467-479, January.
  3. Orlando Gomes, 2006. "Local Bifurcations and Global Dynamics in a Solow-type Endogenous Business Cycles Model," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 91-127, May.
  4. Dawid, Herbert & Kopel, Michael, 1997. "On the Economically Optimal Exploitation of a Renewable Resource: The Case of a Convex Environment and a Convex Return Function," Journal of Economic Theory, Elsevier, vol. 76(2), pages 272-297, October.
  5. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
  6. Orlando Gomes, 2010. "Consumer confidence, endogenous growth and endogenous cycles," Journal of Economic Studies, Emerald Group Publishing, vol. 37(4), pages 377-404, September.
  7. Mitra, Tapan & Nishimura, Kazuo, 2001. "Discounting and Long-Run Behavior: Global Bifurcation Analysis of a Family of Dynamical Systems," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 256-293, January.
  8. Gomes, Orlando, 2009. "A two-dimensional non-equilibrium dynamic model," Structural Change and Economic Dynamics, Elsevier, vol. 20(3), pages 221-238, September.
  9. Ali Khan, M. & Piazza, Adriana, 2011. "Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 397-417.

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