IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/92827.html
   My bibliography  Save this paper

Nash Equilibrium in Tax and Public Investment Competition

Author

Listed:
  • Sharma, Ajay
  • Pal, Rupayan

Abstract

We analyze Nash equilibrium in fiscal competition with tax and public investment between symmetric regions. We show that given the opposite strategic nature of tax (strategic complement) and public investment (strategic substitute), there is possibility of multiple equilibria. We find that if strategic substitute effect dominates strategic complement effect, then both regions have first mover advantage in a timing game and simultaneous move Nash equilibrium (early, early) emerges; otherwise sequential move equilibria-(early, late) and (late, early) emerges. Also, sequential move Nash equilibria are Pareto improving than simultaneous move outcome. Lastly, race-to-the-bottom in taxes is restricted in sequential move equilibria.

Suggested Citation

  • Sharma, Ajay & Pal, Rupayan, 2019. "Nash Equilibrium in Tax and Public Investment Competition," MPRA Paper 92827, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:92827
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/92827/1/MPRA_paper_92827.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Hubert Kempf & Grégoire Rota Graziosi, 2010. "Leadership in Public Good Provision: A Timing Game Perspective," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 763-787, August.
    3. Zissimos, Ben & Wooders, Myrna, 2008. "Public good differentiation and the intensity of tax competition," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 1105-1121, June.
    4. Kempf, Hubert & Rota-Graziosi, Grégoire, 2010. "Endogenizing leadership in tax competition," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 768-776, October.
    5. Pieretti, Patrice & Zanaj, Skerdilajda, 2011. "On tax competition, public goods provision and jurisdictions' size," Journal of International Economics, Elsevier, vol. 84(1), pages 124-130, May.
    6. Hindriks, Jean & Peralta, Susana & Weber, Shlomo, 2008. "Competing in taxes and investment under fiscal equalization," Journal of Public Economics, Elsevier, vol. 92(12), pages 2392-2402, December.
    7. Hubert Kempf & Grégoire Rota-Graziosi, 2015. "Further analysis on leadership in tax competition: the role of capital ownership—a comment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(6), pages 1028-1039, December.
    8. Wildasin, David E., 1988. "Nash equilibria in models of fiscal competition," Journal of Public Economics, Elsevier, vol. 35(2), pages 229-240, March.
    9. Jean Hindriks & Yukihiro Nishimura, 2017. "Equilibrium leadership in tax competition models with capital ownership: a rejoinder," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(2), pages 338-349, April.
    10. Hubert Kempf & Grégoire Rota-Graziosi, 2010. "Endogenizing leadership in the tax competition race," Documents de travail du Centre d'Economie de la Sorbonne 10039, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    11. Hauptmeier, Sebastian & Mittermaier, Ferdinand & Rincke, Johannes, 2012. "Fiscal competition over taxes and public inputs," Regional Science and Urban Economics, Elsevier, vol. 42(3), pages 407-419.
    12. Rosanne Altshuler & Timothy J. Goodspeed, 2015. "Follow the Leader? Evidence on European and US Tax Competition," Public Finance Review, , vol. 43(4), pages 485-504, July.
    13. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    14. Dembour, Carole & Wauthy, Xavier, 2009. "Investment in public infrastructure with spillovers and tax competition between contiguous regions," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 679-687, November.
    15. Hubert Kempf & Grégoire Rota-Graziosi, 2015. "Further analysis on leadership in tax competition: the role of capital ownership—a comment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(6), pages 1028-1039, December.
    16. 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..
    17. Kempf, H. & Rota Graziosi, G., 2010. "Endogenizing leadership in tax competition: a timing game perspective," Working papers 299, Banque de France.
    18. 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.
    19. Keisuke Kawachi & Hikaru Ogawa & Taiki Susa, 2015. "Endogenous Timing in Tax and Public-Investment Competition," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 171(4), pages 641-651, December.
    20. Philippe De Donder & Michel Le Breton & Eugenio Peluso, 2012. "Majority Voting in Multidimensional Policy Spaces: Kramer–Shepsle versus Stackelberg," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(6), pages 879-909, December.
    21. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    22. Hikaru Ogawa, 2013. "Further analysis on leadership in tax competition: the role of capital ownership," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 20(3), pages 474-484, June.
    23. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-274, May.
    24. Christos Kotsogiannis & Konstantinos Serfes, 2010. "Public Goods and Tax Competition in a Two‐Sided Market," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(2), pages 281-321, April.
    25. Wilson, John D., 1986. "A theory of interregional tax competition," Journal of Urban Economics, Elsevier, vol. 19(3), pages 296-315, May.
    26. Christian Bellak & Markus Leibrecht & Jože P. Damijan, 2009. "Infrastructure Endowment and Corporate Income Taxes as Determinants of Foreign Direct Investment in Central and Eastern European Countries," The World Economy, Wiley Blackwell, vol. 32(2), pages 267-290, February.
    27. Agnès Bénassy-Quéré & Nicolas Gobalraja & Alain Trannoy, 2007. "Tax and public input competition [‘Tax competition and economic geography’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 22(50), pages 386-430.
    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. Kai Chang & Ning Lu & Ze Sheng Li & Yi Ran Wang, 2021. "The combined impacts of fiscal and credit policies on green firm's investment opportunity: Evidences from Chinese firm‐level analysis," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1822-1835, October.

    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. Carsten Eckel & Yutao Han & Kate Hynes & Jin Zhang, 2021. "Structural fund, endogenous move and commitment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 28(2), pages 465-482, April.
    2. Kawachi, Keisuke & Ogawa, Hikaru & Susa, Taiki, 2020. "Endogenous capital supply and equilibrium leadership in tax competition," International Review of Economics & Finance, Elsevier, vol. 70(C), pages 622-634.
    3. Hikaru Ogawa & Taiki Susa, 2017. "Majority voting and endogenous timing in tax competition," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(3), pages 397-415, June.
    4. Hindriks, Jean & Nishimura, Yukihiro, 2014. "On the timing of tax and investment in fiscal competition models," LIDAM Discussion Papers CORE 2014065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Kempf, Hubert & Rota-Graziosi, Grégoire, 2010. "Endogenizing leadership in tax competition," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 768-776, October.
    6. Grégoire Rota-Graziosi, 2016. "Implementing Tax Coordination and Harmonization through Voluntary Commitment," Working Papers halshs-01332058, HAL.
    7. 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.
    8. Hikaru Ogawa & Atsushi Yamagishi, 2016. "Ad Valorem Capital Tax Competition," CIRJE F-Series CIRJE-F-1030, CIRJE, Faculty of Economics, University of Tokyo.
    9. Haraguchi Junichi & Ogawa Hikaru, 2018. "Leadership in Tax Competition with Fiscal Equalization Transfers," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 18(3), pages 1-15, July.
    10. Rupayan Pal & Ajay Sharma, 2011. "Competition for foreign capital: Endogenous objective, public investment and tax," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2011-021, Indira Gandhi Institute of Development Research, Mumbai, India.
    11. Keisuke Kawachi & Hikaru Ogawa & Taiki Susa, 2019. "Endogenizing government’s objectives in tax competition with capital ownership," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 26(3), pages 571-594, June.
    12. Pal, Rupayan & Sharma, Ajay, 2016. "Competition for Foreign Capital under Asymmetric Revenue-Orientation," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 51(1), pages 105-116.
    13. Jun‐ichi Itaya & Chikara Yamaguchi, 2023. "Endogenous leadership and sustainability of enhanced cooperation in a repeated interactions model of tax competition: Endogenous leadership in tax competition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(2), pages 276-300, April.
    14. Yongzheng Liu & Jorge Martinez-Vazquez, 2015. "Public Input Competition under Stackelberg Equilibrium: A Note," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 1022-1037, December.
    15. Rota-Graziosi, Grégoire, 2019. "The supermodularity of the tax competition game," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 25-35.
    16. Yutao Han & Patrice Pieretti & Giuseppe Pulina, 2023. "The impact of tax and infrastructure competition on the profitability of local firms," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 30(2), pages 281-304, April.
    17. Patricia Sanz‐Córdoba & Bernd Theilen, 2018. "Partial Tax Harmonization Through Infrastructure Coordination," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1399-1416, April.
    18. Yongzheng Liu & Jorge Martinez-Vazquez, 2011. "Public Input Competition, Stackelberg Equilibrium and Optimality," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper1123, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    19. Hubert Kempf & Grégoire Rota-Graziosi, 2015. "Further analysis on leadership in tax competition: the role of capital ownership—a comment," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(6), pages 1028-1039, December.
    20. Grégoire ROTA-GRAZIOSI & Hubert KEMPF, 2009. "Leading and losing the tax competition race," Working Papers 200921, CERDI.

    More about this item

    Keywords

    Capital taxation; Public investment; Tax competition; Joint strategic substitutes; Joint strategic complements;
    All these keywords.

    JEL classification:

    • F21 - International Economics - - International Factor Movements and International Business - - - International Investment; Long-Term Capital Movements
    • H25 - Public Economics - - Taxation, Subsidies, and Revenue - - - Business Taxes and Subsidies
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects
    • R5 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:92827. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.