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Optimal ergodic chaos under slow capital depreciation

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  • Kenji Sato
  • Makoto Yano

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  • Kenji Sato & Makoto Yano, 2013. "Optimal ergodic chaos under slow capital depreciation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 57-67, March.
  • Handle: RePEc:bla:ijethy:v:9:y:2013:i:1:p:57-67
    DOI: 10.1111/j.1742-7363.2013.12009.x
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    References listed on IDEAS

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    1. Matsumoto, Akio, 2005. "Density function of piecewise linear transformation," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 631-653, April.
    2. Khan, M. Ali & Mitra, Tapan, 2012. "Long-Run Optimal Behavior In A Two-Sector Robinson–Solow–Srinivasan Model," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 70-85, April.
    3. Alain Venditti, 2012. "Weak concavity properties of indirect utility functions in multisector optimal growth models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(1), pages 13-26, March.
    4. 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.
    5. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    6. Kazuo Nishimura & Makoto Yano, 2012. "Non-linear Dynamics and Chaos in Optimal Growth: An Example," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 127-150, Springer.
    7. Eric W. Bond & Kazumichi Iwasa & Kazuo Nishimura, 2012. "The dynamic Heckscher–Ohlin model: A diagrammatic analysis," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 197-211, June.
    8. Paolo Mattana & Kazuo Nishimura & Tadashi Shigoka, 2012. "Homoclinic Bifurcation and Global Indeterminacy of Equilibrium in a Two-Sector Endogenous Growth Model," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 427-451, Springer.
    9. M. Ali Khan & Tapan Mitra, 2005. "On choice of technique in the Robinson–Solow–Srinivasan model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(2), pages 83-110, June.
    10. Grandmont, Jean-Michel, 2008. "Nonlinear difference equations, bifurcations and chaos: An introduction," Research in Economics, Elsevier, vol. 62(3), pages 122-177, September.
    11. Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
    12. Ronald W. Jones, 2012. "General equilibrium theory and competitive trade models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 149-164, June.
    13. Makoto Yano, 2012. "The von Neumann–McKenzie facet and the Jones Duality theorem in two-sector optimal growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(2), pages 213-226, June.
    14. Minako Fujio, 2009. "Optimal Transition Dynamics In The Leontief Two‐Sector Growth Model With Durable Capital: The Case Of Capital Intensive Consumption Goods," The Japanese Economic Review, Japanese Economic Association, vol. 60(4), pages 490-511, December.
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    Cited by:

    1. Deng, Liuchun & Khan, M. Ali, 2018. "On growing through cycles: Matsuyama’s M-map and Li–Yorke chaos," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 46-55.
    2. Kazuo Nishimura & Alain Venditti & Makoto Yano, 2014. "Destabilization effect of international trade in a perfect foresight dynamic general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 357-392, February.

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