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Optimal Chaos, Nonlinearity and Feasibility Conditions

Author

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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.

Suggested Citation

  • Nishimura, Kazuo & Yano, Makoto, 1994. "Optimal Chaos, Nonlinearity and Feasibility Conditions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 689-704, August.
    • Handle: RePEc:spr:joecth:v:4:y:1994:i:5:p:689-704
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    Citations

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    Cited by:

    1. 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.
    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. 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.
    4. Orlando Gomes, 2010. "Consumer confidence, endogenous growth and endogenous cycles," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 37(4), pages 377-404, September.
    5. Metcalf, Christopher J., 2008. "The dynamics of the Stiglitz policy in the RSS model," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 652-661.
    6. Makoto Yano & Yuichi Furukawa, 2021. "Two-Dimensional Constrained Chaos and Industrial Revolution Cycles with Mathemetical Appendices," KIER Working Papers 1057, Kyoto University, Institute of Economic Research.
    7. Gomes, Orlando, 2009. "A two-dimensional non-equilibrium dynamic model," Structural Change and Economic Dynamics, Elsevier, vol. 20(3), pages 221-238, September.
    8. KONDO Atsumasa, "undated". "The Role of Productivity Growth Rates for Rising Inequality in an Economy with Heterogeneous Agents," ESRI Discussion paper series 326, Economic and Social Research Institute (ESRI).
    9. YANO Makoto & FURUKAWA Yuichi, 2019. "Two-dimensional Constrained Chaos and Time in Innovation: An analysis of industrial revolution cycles," Discussion papers 19008, Research Institute of Economy, Trade and Industry (RIETI).
    10. Hiroshi Fujiu, 2021. "Business Cycles in a Two-Sided Altruism Model," Mathematics, MDPI, vol. 9(17), pages 1-12, August.
    11. Anjan Mukherji, 2003. "Competitive Equilibria: Convergence, Cycles or Chaos," ISER Discussion Paper 0591, Institute of Social and Economic Research, Osaka University.
    12. 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.
    13. 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.
    14. 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.
    15. Liuchun Deng & Minako Fujio & M. Ali Khan, 2021. "Eventual periodicity in the two-sector RSL model: equilibrium vis-à-vis optimum growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 615-639, September.

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