IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00618727.html
   My bibliography  Save this paper

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

Author

Listed:
  • Emmanuelle Taugourdeau

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • 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 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

  • Emmanuelle Taugourdeau & Abderrahmane Ziad, 2011. "On the existence of Nash equilibria in an asymmetric tax competition game," Post-Print hal-00618727, HAL.
  • Handle: RePEc:hal:journl:hal-00618727
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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..
    8. 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.
    9. Bucovetsky, S., 1991. "Asymmetric tax competition," Journal of Urban Economics, Elsevier, vol. 30(2), pages 167-181, September.
    10. 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.
    11. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Franks, Max & Lessmann, Kai, 2023. "Tax competition with asymmetric endowments in fossil resources," Resources Policy, Elsevier, vol. 83(C).
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Emmanuelle Taugourdeau & Abderrahmane Ziad, 2010. "Further Consideration of the Existence of Nash Equilibria in an Asymmetric Tax Competition Game," Post-Print halshs-00492098, HAL.
    2. Kempf, Hubert & Rota-Graziosi, Grégoire, 2010. "Endogenizing leadership in tax competition," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 768-776, October.
    3. Leonzio Rizzo, 2006. "Le inefficienze della competizione fiscale: una rassegna dei principali modelli teorici," Economia politica, Società editrice il Mulino, issue 1, pages 89-120.
    4. 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.
    5. Sam Bucovetsky & Michael Smart, 2006. "The Efficiency Consequences of Local Revenue Equalization: Tax Competition and Tax Distortions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(1), pages 119-144, January.
    6. Apolte, Thomas, 2001. "How Tame Will Leviathan Become in Institutional Competition? Competition among Governments in the Provision of Public Goods," Public Choice, Springer, vol. 107(3-4), pages 359-381, June.
    7. Braid, Ralph M., 2013. "State and local tax competition in a spatial model with sales taxes and residential property taxes," Journal of Urban Economics, Elsevier, vol. 75(C), pages 57-67.
    8. Sylvie Charlot & Sonia Paty & Virginie Piguet, 2015. "Does Fiscal Cooperation Increase Local Tax Rates in Urban Areas?," Regional Studies, Taylor & Francis Journals, vol. 49(10), pages 1706-1721, October.
    9. 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.
    10. Stephanie Armbruster & Beat Hintermann, 2020. "Decentralization with porous borders: public production in a federation with tax competition and spillovers," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 27(3), pages 606-642, June.
    11. Hubert Kempf & Grégoire Rota-Graziosi, 2010. "Endogenizing leadership in the tax competition race," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00492105, HAL.
    12. Thierry Madiès & Sonia Paty & Yvon Rocaboy, 2005. "Externalités fiscales horizontales et verticales. Où en est la théorie du fédéralisme financier ?," Revue d'économie politique, Dalloz, vol. 115(1), pages 17-63.
    13. Bayindir-Upmann, Thorsten & Ziad, Abderrahmanne, 2005. "Existence of equilibria in a basic tax-competition model," Regional Science and Urban Economics, Elsevier, vol. 35(1), pages 1-22, January.
    14. Parry, Ian W. H., 2003. "How large are the welfare costs of tax competition?," Journal of Urban Economics, Elsevier, vol. 54(1), pages 39-60, July.
    15. Grégoire ROTA-GRAZIOSI & Hubert KEMPF, 2009. "Leading and losing the tax competition race," Working Papers 200921, CERDI.
    16. Rota-Graziosi, Grégoire, 2019. "The supermodularity of the tax competition game," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 25-35.
    17. Sandy Fréret & Denis Maguain, 2017. "The effects of agglomeration on tax competition: evidence from a two-regime spatial panel model on French data," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(6), pages 1100-1140, December.
    18. 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.
    19. Brulhart, Marius & Jametti, Mario, 2006. "Vertical versus horizontal tax externalities: An empirical test," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 2027-2062, November.
    20. Wilson, John Douglas & Wildasin, David E., 2004. "Capital tax competition: bane or boon," Journal of Public Economics, Elsevier, vol. 88(6), pages 1065-1091, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00618727. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.