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Fluctuations and growth in Ragnar Frisch’s rocking horse model

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  • Carret, Vincent

Abstract

Ragnar Frisch's famous "rocking horse" model has been the object of much praise and even controversy since its publication in 1933. This paper offers a new simulation of the model to show that there exists cyclical trajectories in the propagation mechanism. By building an analytical solution taking the same form as Frisch's original solution, we can provide new insights into the ideas encapsulated in his model, in particular the fact that the author constructed a model combining cycles and growth. The exploration of Frisch's formal construction of the model leads us to link his statistical work on the decomposition of time series with his economic insights on investment cycles, which both led to the 1933 model. We contrast Frisch’s approach to that of other econometricians who used similar equations, showing that their different mathematical solutions were the product of what they wanted to show with their models.

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  • Carret, Vincent, 2021. "Fluctuations and growth in Ragnar Frisch’s rocking horse model," OSF Preprints 69nsg, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:69nsg
    DOI: 10.31219/osf.io/69nsg
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    References listed on IDEAS

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    1. Stefano Zambelli & Björn Thalberg, 1992. "The Wooden Horse That Wouldn’t Rock: Reconsidering Frisch," Palgrave Macmillan Books, in: Kumaraswamy Velupillai (ed.), Nonlinearities, Disequilibria and Simulation, chapter 4, pages 27-56, Palgrave Macmillan.
    2. Edward C. Prescott, 2006. "The Transformation of Macroeconomic Policy and Research," The American Economist, Sage Publications, vol. 50(1), pages 3-20, March.
    3. Edward C. Prescott, 2006. "Nobel Lecture: The Transformation of Macroeconomic Policy and Research," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 203-235, April.
    4. Bjerkholt, Olav & Qin, Duo, 2010. "Teaching Economics as a Science: the 1930 Yale Lectures of Ragnar Frisch," Memorandum 05/2010, Oslo University, Department of Economics.
    5. J. M. Clark, 1932. "Capital Production and Consumer-Taking: A Further Word," Journal of Political Economy, University of Chicago Press, vol. 40(5), pages 691-691.
    6. Henry Ludwell Moore, 1921. "Generating Cycles Reflected in a Century of Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 35(4), pages 503-526.
    7. J. B. S. Haldane, 1934. "A Contribution to the Theory of Price Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 1(3), pages 186-195.
    8. Samuelson, P. A., 1974. "Remembrances of Frisch," European Economic Review, Elsevier, vol. 5(1), pages 7-23, June.
    9. Dupont-Kieffer, Ariane, 2012. "The Accelerator Principle At The Core Of Frisch’S 1933 Rocking Horse Model," Journal of the History of Economic Thought, Cambridge University Press, vol. 34(4), pages 447-473, December.
    10. Olav Bjerkholt & Ariane Dupont, 2010. "Ragnar Frisch's Conception of Econometrics," History of Political Economy, Duke University Press, vol. 42(1), pages 21-73, Spring.
    11. Assous, Michaël & Dutt, Amitava & Fourchard, Paul & Pottier, Antonin, 2017. "(In)-Stability In Kalecki’S Early Macroeconomics," Journal of the History of Economic Thought, Cambridge University Press, vol. 39(1), pages 69-87, March.
    12. Stefano Zambelli, 2007. "A Rocking Horse That Never Rocked: Frisch's “Propagation Problems and Impulse Problems”," History of Political Economy, Duke University Press, vol. 39(1), pages 145-166, Spring.
    13. Hagemann Harald, 2019. "Impulses and Propagation Mechanisms in Equilibrium Business Cycles Theories: From Interwar Debates to DSGE “Consensus”," Working Papers halshs-02386344, HAL.
    14. Mauro Boianovsky & Hans-Michael Trautwein, 2007. "Johan Åkerman vs. Ragnar Frisch on Quantitative Business Cycle Analysis," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 14(3), pages 487-517.
    15. Jens Christopher Andvig, 1981. "Ragnar Frisch and Business Cycle Research During the Interwar Years," History of Political Economy, Duke University Press, vol. 13(4), pages 695-725, Winter.
    16. Olav Bjerkholt, 2007. "Ragnar Frisch's business cycle approach: The genesis of the propagation and impulse model," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 14(3), pages 449-486.
    17. Philippe Le Gall, 1999. "A World Ruled by Venus: On Henry L. Moore's Transfer of Periodogram Analysis from Physics to Economics," History of Political Economy, Duke University Press, vol. 31(4), pages 723-752, Winter.
    18. Bjerkholt, Olav & Qin, Duo, 2010. "Teaching Economics as a Science: the 1930 Yale Lectures of Ragnar Frisch," Memorandum 05/2010, Oslo University, Department of Economics.
    19. Vincent Barnett, 2006. "Chancing an interpretation: Slutsky's random cycles revisited," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 13(3), pages 411-432.
    20. Turner, Paul & Wood, Justine, 2020. "New Perspectives On Henry Ludwell Moore’S Use Of Harmonic Analysis," Journal of the History of Economic Thought, Cambridge University Press, vol. 42(4), pages 507-520, December.
    21. Bjerkholt, Olav, 1995. "Ragnar Frisch, Editor of Econometrica 1933-1954," Econometrica, Econometric Society, vol. 63(4), pages 755-765, July.
    22. Thomas F. Cargill, 1974. "Early Applications of Spectral Methods to Economic Time Series," History of Political Economy, Duke University Press, vol. 6(1), pages 1-16, Spring.
    23. Ragnar Frisch, 1931. "The Interrelation Between Capital Production and Consumer-Taking," Journal of Political Economy, University of Chicago Press, vol. 39(5), pages 646-646.
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