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An Expanded Multiplier-Accelerator Model

Author

Listed:
  • Todorova, Tamara
  • Kutrolli, Marin
Abstract
This paper revisits the standard multiplier-accelerator model, as advanced by Samuelson. While borrowing on the main assumptions of the multiplier-accelerator, we check the validity of Keynesian theory. Using higher-order difference equations and advanced-level mathematical techniques we solve the tax-augmented multiplier-accelerator model, as well as the open economy one. We find that the values of equilibrium national income are identical to the simple national-income model in the absence of the accelerator. We solve the simple multiplier-accelerator model both in present terms and with prolonged consumption. We solve for equilibrium consumption, tax, and imports which are unaffected by the accelerator. All results conform to Keynesian theory where investment, government spending and exports have a favorable multiplying effect on national income through their respective multipliers. The accelerator coefficient affects neither those multipliers, nor the income and the non-income tax multipliers. Expanding the multiplier-accelerator by the volume of foreign trade, taxation or both does not change the values of Keynesian variables. Adding an accelerator leaves optimal values unaffected but, more importantly, reinforces Keynesian theory.

Suggested Citation

  • Todorova, Tamara & Kutrolli, Marin, 2019. "An Expanded Multiplier-Accelerator Model," MPRA Paper 107480, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:107480
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    File URL: https://mpra.ub.uni-muenchen.de/107480/7/MPRA_paper_107480.pdf
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    References listed on IDEAS

    as
    1. Frank Westerhoff, 2006. "Samuelson's multiplier-accelerator model revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 13(2), pages 89-92.
    2. Devarajan, Shantayanan & Go, Delfin S., 1998. "The Simplest Dynamic General-Equilibrium Model of an Open Economy," Journal of Policy Modeling, Elsevier, vol. 20(6), pages 677-714, December.
    3. Matsumoto, Akio & Szidarovszky, Ferenc, 2015. "Nonlinear multiplier–accelerator model with investment and consumption delays," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 1-9.
    4. Harris, Richard, 1984. "Applied General Equilibrium Analysis of Small Open Economies with Scale Economies and Imperfect Competition," American Economic Review, American Economic Association, vol. 74(5), pages 1016-1032, December.
    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. Michael Bruno & Jeffrey D. Sachs, 1985. "Economics of Worldwide Stagflation," NBER Books, National Bureau of Economic Research, Inc, number brun85-1.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    More about this item

    Keywords

    multiplier; accelerator; open economy; difference equations; Keynesian national-income model; tax multiplier; exports multiplier;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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