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On the dynamics of the q-deformed Puu’s model with cubic investment map

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  • Muñoz-Guillermo, María

Abstract

In 1991, T. Puu proposed a cubic investment map in order to analyze chaos in business cycles [34]. In this study, we propose a q-deformation of the aggregate variable income difference in order to analyze the dynamics of the q-deformed version considering that the original model is a particular case of the q-deformation case with q=1.

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  • Muñoz-Guillermo, María, 2022. "On the dynamics of the q-deformed Puu’s model with cubic investment map," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001813
    DOI: 10.1016/j.chaos.2022.111971
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    1. Mankiw, N. Gregory & Reis, Ricardo, 2010. "Imperfect Information and Aggregate Supply," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 5, pages 183-229, Elsevier.
    2. Wesley Clair Mitchell, 1927. "Business Cycles: The Problem and Its Setting," NBER Books, National Bureau of Economic Research, Inc, number mitc27-1.
    3. Mario Forni & Luca Gambetti & Marco Lippi & Luca Sala, 2017. "Noisy News in Business Cycles," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 122-152, October.
    4. Lucas, Robert E, Jr, 1980. "Methods and Problems in Business Cycle Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 12(4), pages 696-715, November.
    5. Puu, Tonu & Gardini, Laura & Sushko, Irina, 2005. "A Hicksian multiplier-accelerator model with floor determined by capital stock," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 331-348, March.
    6. Plastino, A., 2004. "Why Tsallis’ statistics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 608-613.
    7. Arthur F. Burns & Wesley C. Mitchell, 1946. "Measuring Business Cycles," NBER Books, National Bureau of Economic Research, Inc, number burn46-1.
    8. Wesley Clair Mitchell, 1927. "Introductory pages to "Business Cycles: The Problem and Its Setting"," NBER Chapters, in: Business Cycles: The Problem and Its Setting, pages -23, National Bureau of Economic Research, Inc.
    9. Lucas, Robert E., 1977. "Understanding business cycles," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 5(1), pages 7-29, January.
    10. Sushko, Iryna & Gardini, Laura & Puu, Tönu, 2010. "Regular and chaotic growth in a Hicksian floor/ceiling model," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 77-94, July.
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