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Tax-induced multiple equilibria

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  • John Whalley
  • Shunming Zhang

Abstract

In this article, we present examples of tax-distorted general equilibrium economies in which equilibria are unique in the absence of taxes, but taxes generate multiplicity when introduced over a range of tax rates. We also provide converse examples of economies with multiple no-tax equilibria, but where taxes when introduced induce uniqueness. Both Foster and Sonnenschein (1970) and Kehoe (1985) discussed the possibility of tax-induced multiplicity. Here, we show how in 2-individual 2-good pure exchange economies with Constant Elasticity of Substitution/Linear Expenditure System (CES/LES) preferences such cases can occur. We also provide ranges of consumption tax rates over which these cases can occur for alternative parameterizations.

Suggested Citation

  • John Whalley & Shunming Zhang, 2011. "Tax-induced multiple equilibria," Applied Economics Letters, Taylor & Francis Journals, vol. 18(15), pages 1469-1477.
    • Handle: RePEc:taf:apeclt:v:18:y:2011:i:15:p:1469-1477
    DOI: 10.1080/13504851.2010.543065
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    References listed on IDEAS

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    1. Timothy J. Kehoe, 1985. "The Comparative Statics Properties of Tax Models," Canadian Journal of Economics, Canadian Economics Association, vol. 18(2), pages 314-334, May.
    2. Kehoe, Timothy J, 1980. "An Index Theorem for General Equilibrium Models with Production," Econometrica, Econometric Society, vol. 48(5), pages 1211-1232, July.
    3. Kehoe, Timothy J., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
    4. Ballard, Charles L. & Fullerton, Don & Shoven, John B. & Whalley, John, 2009. "A General Equilibrium Model for Tax Policy Evaluation," National Bureau of Economic Research Books, University of Chicago Press, number 9780226036335, December.
    5. Charles L. Ballard & Don Fullerton & John B. Shoven & John Whalley, 1985. "Introduction to "A General Equilibrium Model for Tax Policy Evaluation"," NBER Chapters, in: A General Equilibrium Model for Tax Policy Evaluation, pages 1-5, National Bureau of Economic Research, Inc.
    6. Kehoe, Timothy J. & Whalley, John, 1985. "Uniqueness of equilibrium in large-scale numerical general equilibrium models," Journal of Public Economics, Elsevier, vol. 28(2), pages 247-254, November.
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    2. Huang Helen Hui & Wang Hui & Wei Zexin & Xia Jiawei & Zhang Shunming, 2021. "Restrictions of the Islamic Financial System and Counterpart Financial Support for Xinjiang," Journal of Systems Science and Information, De Gruyter, vol. 9(2), pages 105-130, April.

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