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On the existence of Nash equilibria in an asymmetric tax competition game

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  • Taugourdeau, Emmanuelle
  • Ziad, Abderrahmane

Abstract

In this methodological paper, we prove that the famous tax competition game introduced by Zodrow and Mieszkowski (1986) and Wildasin (1988) in which the capital is completely owned by foreigners possesses a Nash equilibrium even when the assumption of symmetric jurisdictions is dropped. The normality of both private and public goods is all that is needed concerning restrictions on preferences when a peculiar regime of taxation is ruled out. Moreover, we show that conditions about technology allowing for the existence of a Nash equilibrium are satisfied by most of the widely-used production functions.

Suggested Citation

  • Taugourdeau, Emmanuelle & Ziad, Abderrahmane, 2011. "On the existence of Nash equilibria in an asymmetric tax competition game," Regional Science and Urban Economics, Elsevier, vol. 41(5), pages 439-445, September.
  • Handle: RePEc:eee:regeco:v:41:y:2011:i:5:p:439-445
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    References listed on IDEAS

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    1. Wilson, John Douglas, 1991. "Tax competition with interregional differences in factor endowments," Regional Science and Urban Economics, Elsevier, vol. 21(3), pages 423-451, November.
    2. Wildasin, David E., 1988. "Nash equilibria in models of fiscal competition," Journal of Public Economics, Elsevier, vol. 35(2), pages 229-240, March.
    3. Turnovsky, Stephen J., 1988. "The gains from fiscal cooperation in the two-commodity real trade model," Journal of International Economics, Elsevier, vol. 25(1-2), pages 111-127, August.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Bucovetsky, S., 1991. "Asymmetric tax competition," Journal of Urban Economics, Elsevier, vol. 30(2), pages 167-181, September.
    9. 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.
    10. 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.
    11. Zodrow, George R. & Mieszkowski, Peter, 1986. "Pigou, Tiebout, property taxation, and the underprovision of local public goods," Journal of Urban Economics, Elsevier, vol. 19(3), pages 356-370, May.
    12. Wilson, John D., 1986. "A theory of interregional tax competition," Journal of Urban Economics, Elsevier, vol. 19(3), pages 296-315, May.
    13. 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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    Cited by:

    1. Yang Chen & Juan Cuestas & Paulo Regis, 2014. "Corporate Tax Convergence in Asian and Pacific Economies," TUT Economic Research Series 17, Department of Finance and Economics, Tallinn University of Technology.
    2. Abderrahmane ZIAD & Emmanuelle TAUGOURDEAU, 2011. "Fiscal Policies and Trade: On the existence of Nash equilibria," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201112, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    3. Philipowski, Robert, 2015. "Comparison of Nash and evolutionary stable equilibrium in asymmetric tax competition," Regional Science and Urban Economics, Elsevier, vol. 51(C), pages 7-13.
    4. Hendrik Vrijburg & Ruud Mooij, 2016. "Tax rates as strategic substitutes," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 23(1), pages 2-24, February.
    5. Holger Kächelein, 2014. "Asymmetric capital tax competition and choice of tax rate," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 21(1), pages 50-65, February.

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    Keywords

    Tax competition Nash equilibrium;

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