IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v32y2007i2p736-744.html
   My bibliography  Save this article

Chaotic business cycles and fiscal policy: An IS-LM model with distributed tax collection lags

Author

Listed:
  • Fanti, Luciano
  • Manfredi, Piero

Abstract

A continuous time economic IS-LM model with distributed tax collection lag is proposed. Phase transitions from stability to stable oscillations and finally to chaotic motion are shown to occur. The model thus offers an explanation of the multiperiodicity and irregularity in business cycles. The suggested implications in fiscal control policy could be of help in the current economic and political debate on the role of fiscal policy in the European countries.

Suggested Citation

  • Fanti, Luciano & Manfredi, Piero, 2007. "Chaotic business cycles and fiscal policy: An IS-LM model with distributed tax collection lags," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 736-744.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:736-744
    DOI: 10.1016/j.chaos.2005.11.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905011082
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.11.024?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    2. Sasakura, Kazuyuki, 1994. "On the dynamic behavior of Schinasi's business cycle model," Journal of Macroeconomics, Elsevier, vol. 16(3), pages 423-444.
    3. De Cesare, Luigi & Sportelli, Mario, 2005. "A dynamic IS-LM model with delayed taxation revenues," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 233-244.
    4. Mr. Nurun N. Choudhry, 1991. "Collection Lags, Fiscal Revenue and Inflationary Financing: Empirical Evidence and Analysis," IMF Working Papers 1991/041, International Monetary Fund.
    5. Garry J. Schinasi, 1981. "A Nonlinear Dynamic Model of Short Run Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(4), pages 649-656.
    6. Apostolos Serletis, 1996. "Is There Chaos in Economic Time Series?," Canadian Journal of Economics, Canadian Economics Association, vol. 29(s1), pages 210-212, April.
    7. Manfredi, Piero & Fanti, Luciano, 2004. "Cycles in dynamic economic modelling," Economic Modelling, Elsevier, vol. 21(3), pages 573-594, May.
    8. Mr. George Kopits, 2001. "Fiscal Rules: Useful Policy Framework or Unnecessary Ornament?," IMF Working Papers 2001/145, International Monetary Fund.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fanti, Luciano & Gori, Luca, 2011. "Stability analysis in a Cournot duopoly with managerial sales delegation and bounded rationality," MPRA Paper 33828, University Library of Munich, Germany.
    2. Muhamad Deni Johansyah & Aceng Sambas & Saleh Mobayen & Behrouz Vaseghi & Saad Fawzi Al-Azzawi & Sukono & Ibrahim Mohammed Sulaiman, 2022. "Dynamical Analysis and Adaptive Finite-Time Sliding Mode Control Approach of the Financial Fractional-Order Chaotic System," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    3. Akio Matsumoto & Ferenc Szidarovszky, 2016. "Delay Dynamics in a Classical IS-LM Model with Tax Collections," Metroeconomica, Wiley Blackwell, vol. 67(4), pages 667-697, November.
    4. Ahmad, Shabir & Ullah, Aman & Akgül, Ali, 2021. "Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. G. Rigatos & P. Siano & T. Ghosh, 2019. "A Nonlinear Optimal Control Approach to Stabilization of Business Cycles of Finance Agents," Computational Economics, Springer;Society for Computational Economics, vol. 53(3), pages 1111-1131, March.
    6. Ahmad Naimzada & Marina Pireddu, 2013. "Dynamics in a nonlinear Keynesian good market model," Working Papers 254, University of Milano-Bicocca, Department of Economics, revised Sep 2013.
    7. Wu, Jianjun & Xia, Lu, 2024. "Double well stochastic resonance for a class of three-dimensional financial systems," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    8. Fanti, Luciano & Gori, Luca, 2012. "The dynamics of a differentiated duopoly with quantity competition," Economic Modelling, Elsevier, vol. 29(2), pages 421-427.
    9. Son, Woo-Sik & Park, Young-Jai, 2011. "Delayed feedback on the dynamical model of a financial system," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 208-217.
    10. Igor Kotlán & Zuzana Machová, 2014. "Horizont daňové politiky v zemích OECD [Tax Policy Horizon in the OECD Countries]," Politická ekonomie, Prague University of Economics and Business, vol. 2014(2), pages 161-173.
    11. Din Prathumwan & Kamonchat Trachoo, 2019. "Application of the Laplace Homotopy Perturbation Method to the Black–Scholes Model Based on a European Put Option with Two Assets," Mathematics, MDPI, vol. 7(4), pages 1-11, March.
    12. De Cesare, Luigi & Sportelli, Mario, 2012. "Fiscal policy lags and income adjustment processes," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 433-438.
    13. Din Prathumwan & Wannika Sawangtong & Panumart Sawangtong, 2017. "An Analysis on the Fractional Asset Flow Differential Equations," Mathematics, MDPI, vol. 5(2), pages 1-17, June.
    14. Chen, Wei-Ching, 2008. "Dynamics and control of a financial system with time-delayed feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1198-1207.
    15. Valls, Claudia, 2012. "Rational integrability of a nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 141-146.
    16. Sportelli, Mario & De Cesare, Luigi, 2019. "Fiscal policy delays and the classical growth cycle," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 9-31.
    17. Yousefpour, Amin & Jahanshahi, Hadi & Munoz-Pacheco, Jesus M. & Bekiros, Stelios & Wei, Zhouchao, 2020. "A fractional-order hyper-chaotic economic system with transient chaos," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

    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. Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
    2. De Cesare, Luigi & Sportelli, Mario, 2005. "A dynamic IS-LM model with delayed taxation revenues," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 233-244.
    3. Chen, Wei-Ching, 2008. "Dynamics and control of a financial system with time-delayed feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1198-1207.
    4. Neamţu, Mihaela & Opriş, Dumitru & Chilaˇrescu, Constantin, 2007. "Hopf bifurcation in a dynamic IS–LM model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 519-530.
    5. David, S.A. & Machado, J.A.T. & Quintino, D.D. & Balthazar, J.M., 2016. "Partial chaos suppression in a fractional order macroeconomic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 55-68.
    6. Valls, Claudia, 2012. "Rational integrability of a nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 141-146.
    7. Akio Matsumoto & Ferenc Szidarovszky, 2016. "Delay Dynamics in a Classical IS-LM Model with Tax Collections," Metroeconomica, Wiley Blackwell, vol. 67(4), pages 667-697, November.
    8. Giovanni Bella & Paolo Mattana & Beatrice Venturi, 2013. "Kaldorian assumptions and endogenous fluctuations: a note on Schinasi’s IS–LM model," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 60(1), pages 71-81, March.
    9. Song Xu & Hui Lv & Heng Liu & Aijing Liu, 2019. "Robust Control of Disturbed Fractional-Order Economical Chaotic Systems with Uncertain Parameters," Complexity, Hindawi, vol. 2019, pages 1-13, October.
    10. Francesca Castellani & Xavier Debrun, 2005. "Designing Macroeconomic Frameworks: A Positive Analysis of Monetary and Fiscal Delegation," International Finance, Wiley Blackwell, vol. 8(1), pages 87-117, March.
    11. V. Ragupathy & Stefano Zambelli & K. Vela Velupillai, 2013. "A Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," Australian Economic Papers, Wiley Blackwell, vol. 52(2), pages 115-125, June.
    12. Ms. Francesca Castellani & Mr. Xavier Debrun, 2001. "Central Bank Independence and the Design of Fiscal Institutions," IMF Working Papers 2001/205, International Monetary Fund.
    13. Jean‐Louis Combes & Xavier Debrun & Alexandru Minea & René Tapsoba, 2018. "Inflation Targeting, Fiscal Rules and the Policy Mix: Cross‐effects and Interactions," Economic Journal, Royal Economic Society, vol. 128(615), pages 2755-2784, November.
    14. Rajpal, Akanksha & Bhatia, Sumit Kaur & Hiremath, Kirankumar R., 2022. "Inspecting the stability of non-linear IS-LM model with dual time delay," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    15. Tapsoba, René, 2012. "Do National Numerical Fiscal Rules really shape fiscal behaviours in developing countries? A treatment effect evaluation," Economic Modelling, Elsevier, vol. 29(4), pages 1356-1369.
    16. Mario Alloza & Javier Andrés & Pablo Burriel & Iván Kataryniuk & Javier J. Pérez & Juan Luis Vega, 2021. "La reforma del marco de gobernanza de la política fiscal de la Unión Europea en un nuevo entorno macroeconómico," Occasional Papers 2121, Banco de España.
    17. Soon Ryoo & Peter Skott, 2017. "Fiscal and Monetary Policy Rules in an Unstable Economy," Metroeconomica, Wiley Blackwell, vol. 68(3), pages 500-548, July.
    18. Drazen, Allan, 2002. "Central Bank Independence, Democracy, and Dollarization," Journal of Applied Economics, Universidad del CEMA, vol. 5(01), pages 1-17, May.
    19. Liliana Eva Donath & Gabriela Mircea & Mihaela Neamțu & Grațiela Georgiana Noja & Nicoleta Sîrghi, 2024. "The Effect of Network Delay and Contagion on Mobile Banking Users: A Dynamical Analysis," Mathematics, MDPI, vol. 12(22), pages 1-22, November.
    20. Frankel, Jeffrey A. & Schreger, Jesse, 2012. "Over-Optimistic Official Forecasts in the Eurozone and Fiscal Rules," Working Paper Series rwp12-041, Harvard University, John F. Kennedy School of Government.

    More about this item

    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:eee:chsofr:v:32:y:2007:i:2:p:736-744. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.