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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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    Cited by:

    1. 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.
    2. Hendrik Vrijburg & Ruud A. 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.
    3. 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.
    4. Rota-Graziosi, Grégoire, 2019. "The supermodularity of the tax competition game," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 25-35.
    5. Eichner, Thomas, 2014. "Endogenizing leadership and tax competition: Externalities and public good provision," Regional Science and Urban Economics, Elsevier, vol. 46(C), pages 18-26.
    6. 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.
    7. 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.
    8. 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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