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One Sector Models, Indeterminacy, and Productive Public Spending

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  • Sergey Slobodyan

Abstract

This paper studies the influence of different modelling assumptions on the stability of the steady state in one--sector models of economic growth with externalities in the production function. We start with a standard Benhabib&Farmer 1994 one--sector model and study the combined effect on the stability of variable capital utilization, progressive taxation, and productive public spending subject to congestion. As was shown earlier by Wen 1998, variable capacity utilization leads to indeterminacy or absolute instability for low degrees of social increasing returns to scale. Introduction of productive public spending further lowers the degree of IRS necessary to break saddle--path stability of the steady state. The degree of progressivity of the tax schedule influences only the indeterminate and absolute unstable regions in the space spanned by externality parameters. More progressive tax schedule increases the area of indeterminacy at the expense of the absolute instablity region. We perform calibration of the model to the tax regimes observed in the USA

Suggested Citation

  • Sergey Slobodyan, 2004. "One Sector Models, Indeterminacy, and Productive Public Spending," Computing in Economics and Finance 2004 314, Society for Computational Economics.
  • Handle: RePEc:sce:scecf4:314
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    References listed on IDEAS

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    1. Jang-Ting Guo & Sharon G. Harrison, 2001. "Tax Policy and Stability in a Model with Sector-Specific Externalities," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 75-89, January.
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    3. Bennett, Rosalind L. & Farmer, Roger E. A., 2000. "Indeterminacy with Non-separable Utility," Journal of Economic Theory, Elsevier, vol. 93(1), pages 118-143, July.
    4. Slobodyan, Sergey, 2005. "Indeterminacy, sunspots, and development traps," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 159-185, January.
    5. Juan C. Ferrero, 2003. "The statistical distribution of money and the rate of money transference," Papers cond-mat/0306322, arXiv.org.
    6. Laitner, John & Stolyarov, Dmitriy, 2004. "Aggregate returns to scale and embodied technical change: theory and measurement using stock market data," Journal of Monetary Economics, Elsevier, vol. 51(1), pages 191-233, January.
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    8. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
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    10. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
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    Cited by:

    1. Chen, Shu-Hua & Guo, Jang-Ting, 2014. "Progressive taxation and macroeconomic (in)stability with utility-generating government spending," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 174-183.
    2. Jang-Ting Guo & Shu-Hua Chen, 2015. "Progressive Taxation as an Automatic Destabilizer under Endogenous Growth," Working Papers 201510, University of California at Riverside, Department of Economics.

    More about this item

    Keywords

    indeterminacy; absolute instability; productive public spending; progressive taxation;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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