IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/1091.html
   My bibliography  Save this paper

Controlling Chaotic Fluctuations through Monetary Policy

Author

Listed:
  • Takao Asano

    (Okayama University)

  • Akihisa Shibata

    (Kyoto University)

  • Masanori Yokoo

    (Okayama University)

Abstract

This paper applies the chaos control method (the OGY method) proposed by Ott et al. (1990, Physical Review Letters) to policy making in macroeconomics. This paper demonstrates that the monetary equilibrium paths in a discrete-time, two-dimensional overlapping generations model exhibit chaotic fluctuations depending on the money supply rate and the elasticity of substitution between capital and labor under the assumption of the constant elasticity of substitution (CES) production function. We also show that the chaotic fluctuations can be stabilized by controlling the money supply rate by using the OGY method.

Suggested Citation

  • Takao Asano & Akihisa Shibata & Masanori Yokoo, 2023. "Controlling Chaotic Fluctuations through Monetary Policy," KIER Working Papers 1091, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:1091
    as

    Download full text from publisher

    File URL: https://www.kier.kyoto-u.ac.jp/wp/wp-content/uploads/2023/01/DP1091.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    2. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    3. Sebastian Gechert & Tomas Havranek & Zuzana Irsova & Dominika Kolcunova, 2022. "Measuring Capital-Labor Substitution: The Importance of Method Choices and Publication Bias," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 55-82, July.
    4. Benhabib, Jess & Laroque, Guy, 1988. "On competitive cycles in productive economies," Journal of Economic Theory, Elsevier, vol. 45(1), pages 145-170, June.
    5. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
    6. Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
    7. Kaas, Leo, 1998. "Stabilizing chaos in a dynamic macroeconomic model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 313-332, January.
    8. Bella, Giovanni & Mattana, Paolo, 2020. "Chaos control in presence of financial bubbles," Economics Letters, Elsevier, vol. 193(C).
    9. 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.
    10. Kiminori Matsuyama & Iryna Sushko & Laura Gardini, 2018. "A piecewise linear model of credit traps and credit cycles: a complete characterization," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 119-143, November.
    11. Matsuyama, Kiminori & Sushko, Iryna & Gardini, Laura, 2016. "Revisiting the model of credit cycles with Good and Bad projects," Journal of Economic Theory, Elsevier, vol. 163(C), pages 525-556.
    12. Kiminori Matsuyama & Iryna Sushko & Laura Gardini, 2018. "A piecewise linear model of credit traps and credit cycles: a complete characterization," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 119-143, November.
    13. Sebastian Gechert & Tomas Havranek & Zuzana Irsova & Dominika Kolcunova, 2022. "Measuring Capital-Labor Substitution: The Importance of Method Choices and Publication Bias," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 45, pages 55-82, July.
    14. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hashimoto, Ken-ichi & Im, Ryonghun & Kunieda, Takuma & Shibata, Akihisa, 2022. "Financial destabilization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    2. Takao Asano & Akihisa Shibata & Masanori Yokoo, 2024. "Technology choice, externalities in production, and a chaotic middle-income trap," Journal of Economics, Springer, vol. 141(1), pages 29-56, January.
    3. Takuma Kunieda & Akihisa Shibata, 2014. "Credit Market Imperfections and Macroeconomic Instability," Pacific Economic Review, Wiley Blackwell, vol. 19(5), pages 592-611, December.
    4. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 137-151.
    5. Asano, Takao & Yokoo, Masanori, 2019. "Chaotic dynamics of a piecewise linear model of credit cycles," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 9-21.
    6. Michele Boldrin, 1988. "Persistent Oscillations and Chaos in Dynamic Economic Models: Notes for a Survey," UCLA Economics Working Papers 458A, UCLA Department of Economics.
    7. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    8. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.
    9. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
    10. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Necessity Theorem," Papers 2305.08268, arXiv.org, revised Apr 2024.
    11. Takuma Kunieda & Akihisa Shibata, 2011. "Endogenous Growth and Fluctuations in an Overlapping Generations Economy with Credit Market Imperfections," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 333-357.
    12. Chen, Hung-Ju & Li, Ming-Chia, 2008. "Productive public expenditures, expectation formations and nonlinear dynamics," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 109-126, July.
    13. Hirano, Tomohiro & Toda, Alexis Akira, 2024. "On equilibrium determinacy in overlapping generations models with money," Economics Letters, Elsevier, vol. 239(C).
    14. Asano Takao & Shibata Akihisa & Yokoo Masanori, 2023. "Middle-income traps and complexity in economic development," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 27(4), pages 553-565, September.
    15. Kunieda, Takuma & Shibata, Akihisa, 2012. "Business Cycles and Financial Crises: A Model of Entrepreneurs and Financiers," MPRA Paper 40310, University Library of Munich, Germany.
    16. Takao Asano & Masanori Yokoo, 2017. "Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles with Imperfect Observability," KIER Working Papers 967, Kyoto University, Institute of Economic Research.
    17. Nivedita Mukherji, 2022. "Complex dynamics in the market for loans," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 83-99, June.
    18. De Vilder, Robin G. & Hommes, Cars, 1995. "Investment constrained endogenous business cycles in a two-dimensional OLG model," CEPREMAP Working Papers (Couverture Orange) 9503, CEPREMAP.
    19. Cazzavillan, Guido & Pintus, Patrick A., 2005. "On competitive cycles and sunspots in productive economies with a positive money stock," Research in Economics, Elsevier, vol. 59(2), pages 137-147, June.
    20. Atsuo Utaka, 2003. "Income Tax and Endogenous Business Cycles," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(1), pages 135-145, January.

    More about this item

    Keywords

    Macroeconomy; Chaos Control; OGY method; Monetary Policy; OLG model; Chaos;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kyo:wpaper:1091. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.