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On dynamics in a two-sector Keynesian model of business cycles

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  • Murakami, Hiroki
  • Zimka, Rudolf

Abstract

The paper investigates a two-sector Keynesian model of business cycles, describing the fluctuations of consumption and investment goods. It makes an analysis of issues concerning the existence of limit cycles around its equilibrium. There is derived the bifurcation equation of the model, giving conditions for the existence of limit cycles and their stability. The achieved results are illustrated on an example with numerical simulations.

Suggested Citation

  • Murakami, Hiroki & Zimka, Rudolf, 2020. "On dynamics in a two-sector Keynesian model of business cycles," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303601
    DOI: 10.1016/j.chaos.2019.109419
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    1. H. Uzawa, 1971. "On a Two-Sector Model of Economic Growth," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 3, pages 19-26, Palgrave Macmillan.
    2. Toichiro Asada & Michal Demetrian & Rudolf Zimka, 2019. "On dynamics in a Keynesian model of monetary and fiscal stabilization policy mix with twin debt accumulation," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 365-383, July.
    3. Hiroki Murakami, 2018. "A two†sector Keynesian model of business cycles," Metroeconomica, Wiley Blackwell, vol. 69(2), pages 444-472, May.
    4. J. E. Stiglitz, 1967. "A Two-Sector Two Class Model of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 227-238.
    5. Roberto Dieci & Xue-Zhong He & Cars Hommes (ed.), 2014. "Nonlinear Economic Dynamics and Financial Modelling," Springer Books, Springer, edition 127, number 978-3-319-07470-2, June.
    6. Benhabib, Jess & Miyao, Takahiro, 1981. "Some New Results on the Dynamics of the Generalized Tobin Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 589-596, October.
    7. Flaschel, Peter & Gong, Gang & Semmler, Willi, 2001. "A Keynesian macroeconometric framework for the analysis of monetary policy rules," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 101-136, September.
    8. Dohtani, Akitaka, 2010. "A growth-cycle model of Solow-Swan type, I," Journal of Economic Behavior & Organization, Elsevier, vol. 76(2), pages 428-444, November.
    9. Murakami, Hiroki, 2015. "Wage flexibility and economic stability in a non-Walrasian model of economic growth," Structural Change and Economic Dynamics, Elsevier, vol. 32(C), pages 25-41.
    10. Beqiraj, Elton & Fanti, Lucrezia & Zamparelli, Luca, 2019. "Sectoral composition of output and the wage share: The role of the service sector," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 1-10.
    11. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    12. Elton Beqiraj & Lucrezia Fanti & Luca Zamparelli, 2019. "Sectoral Composition of Output and the Wage Share: a Two-Sector Kaleckian Model," Working Papers 3/19, Sapienza University of Rome, DISS.
    13. Roberto Veneziani & Luca Zamparelli & Reiner Franke & Frank Westerhoff, 2017. "Taking Stock: A Rigorous Modelling Of Animal Spirits In Macroeconomics," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1152-1182, December.
    14. Matsumoto, Akio, 2009. "Note on Goodwin's 1951 nonlinear accelerator model with an investment delay," Journal of Economic Dynamics and Control, Elsevier, vol. 33(4), pages 832-842, April.
    15. Franke, Reiner, 2014. "Aggregate sentiment dynamics: A canonical modelling approach and its pleasant nonlinearities," Structural Change and Economic Dynamics, Elsevier, vol. 31(C), pages 64-72.
    16. Nikolaidi, Maria, 2014. "Margins of safety and instability in a macrodynamic model with Minskyan insights," Structural Change and Economic Dynamics, Elsevier, vol. 31(C), pages 1-16.
    17. James Tobin, 1993. "Price Flexibility and Output Stability: An Old Keynesian View," Journal of Economic Perspectives, American Economic Association, vol. 7(1), pages 45-65, Winter.
    18. W. W. Chang & D. J. Smyth, 1971. "The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 37-44.
    19. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    20. Peter Skott, 2015. "Growth cycles with or without price flexibility," Review of Keynesian Economics, Edward Elgar Publishing, vol. 3(3), pages 374-386, July.
    21. K. Vela Velupillai, 2008. "JAPANESE CONTRIBUTIONS TO NONLINEAR CYCLE THEORY IN THE 1950s," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 54-74, March.
    22. Nishi, Hiroshi, 2018. "A Dynamic Analysis of Demand and Productivity Growth in a Two-sector Kaleckian Model," MPRA Paper 86778, University Library of Munich, Germany.
    23. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    24. Murakami, Hiroki & Asada, Toichiro, 2018. "Inflation-deflation expectations and economic stability in a Kaleckian system," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 183-201.
    25. Schoder, Christian, 2014. "Instability, stationary utilization and effective demand: A structuralist model of endogenous cycles," Structural Change and Economic Dynamics, Elsevier, vol. 30(C), pages 10-29.
    26. Soon Ryoo, 2016. "Demand-driven inequality, endogenous saving rate and macroeconomic instability," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 40(1), pages 201-225.
    27. H. Rose, 1967. "On the Non-Linear Theory of the Employment Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 153-173.
    28. Reiner Franke, 2019. "Harrod's long‐range capital outlay as a stabilizer of Harrodian instability," Metroeconomica, Wiley Blackwell, vol. 70(2), pages 302-312, May.
    29. Torre, V, 1977. "Existence of Limit Cycles and Control in Complete Keynesian System by Theory of Bifurcations," Econometrica, Econometric Society, vol. 45(6), pages 1457-1466, September.
    30. Sordi, Serena & Vercelli, Alessandro, 2014. "Unemployment, income distribution and debt-financed investment in a growth cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 325-348.
    31. Murakami, Hiroki, 2018. "Existence and uniqueness of growth cycles in post Keynesian systems," Economic Modelling, Elsevier, vol. 75(C), pages 293-304.
    32. Murakami, Hiroki, 2014. "Keynesian systems with rigidity and flexibility of prices and inflation–deflation expectations," Structural Change and Economic Dynamics, Elsevier, vol. 30(C), pages 68-85.
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    Cited by:

    1. Murakami, Hiroki & Sasaki, Hiroaki, 2020. "Economic development with public capital accumulation: The crucial role of wage flexibility on business cycles," Economic Modelling, Elsevier, vol. 93(C), pages 299-309.
    2. Nishi, Hiroshi, 2022. "Income distribution, technical change, and economic growth: A two-sector Kalecki–Kaldor approach," Structural Change and Economic Dynamics, Elsevier, vol. 60(C), pages 418-432.

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