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Further Consideration of the Existence of Nash Equilibria in an Asymmetric Tax Competition Game

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  • Emmanuelle Taugourdeau

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Abderrahmane Ziad

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this methodological paper, we prove that the key tax competition game introduced by Zodrow and Mieszkowski (1986) and Wildasin (1988), extended to asymmetric regions, possesses a Nash equilibrium under several assumptions commonly adopted in the literature: goods are supposed to be normal; the public good is assumed to be a desired good; the demand for capital is concave; and the elasticity of the marginal product is bounded. The general framework we develop enrables us to obtain very tractable results. By applying our method to several examples with standard production functions, we show that it is easy to use.

Suggested Citation

  • Emmanuelle Taugourdeau & Abderrahmane Ziad, 2010. "Further Consideration of the Existence of Nash Equilibria in an Asymmetric Tax Competition Game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00492098, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00492098
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00492098
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    References listed on IDEAS

    as
    1. Wildasin, David E., 1988. "Nash equilibria in models of fiscal competition," Journal of Public Economics, Elsevier, vol. 35(2), pages 229-240, March.
    2. Paul Rothstein, 2007. "Discontinuous Payoffs, Shared Resources, and Games of Fiscal Competition: Existence of Pure Strategy Nash Equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 335-368, April.
    3. Amrita Dhillon & Myrna Wooders & Ben Zissimos, 2007. "Tax Competition Reconsidered," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(3), pages 391-423, June.
    4. Petchey, Jeffrey D. & Shapiro, Perry, 2009. "Equilibrium in fiscal competition games from the point of view of the dual," Regional Science and Urban Economics, Elsevier, vol. 39(1), pages 97-108, January.
    5. George R. Zodrow & Peter Mieszkowski, 2019. "Pigou, Tiebout, Property Taxation, and the Underprovision of Local Public Goods," World Scientific Book Chapters, in: George R Zodrow (ed.), TAXATION IN THEORY AND PRACTICE Selected Essays of George R. Zodrow, chapter 17, pages 525-542, World Scientific Publishing Co. Pte. Ltd..
    6. Laussel, Didier & Le Breton, Michel, 1998. "Existence of Nash equilibria in fiscal competition models," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 283-296, May.
    7. Bucovetsky, S., 1991. "Asymmetric tax competition," Journal of Urban Economics, Elsevier, vol. 30(2), pages 167-181, September.
    8. Wilson, John D., 1985. "Optimal property taxation in the presence of interregional capital mobility," Journal of Urban Economics, Elsevier, vol. 18(1), pages 73-89, July.
    9. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    10. Wilson, John D., 1986. "A theory of interregional tax competition," Journal of Urban Economics, Elsevier, vol. 19(3), pages 296-315, May.
    11. Michael J. Keen & Christos Kotsogiannis, 2002. "Does Federalism Lead to Excessively High Taxes?," American Economic Review, American Economic Association, vol. 92(1), pages 363-370, March.
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    More about this item

    Keywords

    Nash equilibrium; tax competition; Equilibre de Nash; concurrence fiscale;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods
    • R50 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis - - - General

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