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Endogenizing leadership in tax competition

Author

Listed:
  • Grégoire Rota-Graziosi

    (CERDI - Centre d'Études et de Recherches sur le Développement International - UdA - Université d'Auvergne - Clermont-Ferrand I - CNRS - Centre National de la Recherche Scientifique)

  • Hubert Kempf

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

Abstract

In this paper we extend the standard approach of horizontal tax competition by endogenizing the timing of decisions made by the competing jurisdictions. Following the literature on the endogenous timing in duopoly games, we consider a pre-play stage, where jurisdictions commit themselves to move early or late, i.e. to fix their tax rate at a first or second stage. We highlight that at least one jurisdiction experiments a second-mover advantage. We show that the Subgame Perfect Equilibria (SPEs) correspond to the two Stackelberg situations yielding to a coordination problem. In order to solve this issue, we consider a quadratic specification of the production function, and we use two criteria of selection: Pareto-dominance and risk-dominance. We emphasize that at the risk-dominant equilibrium the less productive or smaller jurisdiction leads and hence loses the second-mover advantage. If asymmetry among jurisdictions is sufficient, Pareto-dominance reinforces risk-dominance in selecting the same SPE. Three results may be deduced from our analysis: (i) the downward pressure on tax rates is less severe than predicted; (ii) the smaller jurisdiction leads; (iii) the 'big-country-higher-tax-rate' rule does not always hold.

Suggested Citation

  • Grégoire Rota-Graziosi & Hubert Kempf, 2010. "Endogenizing leadership in tax competition," Post-Print halshs-00523585, HAL.
  • Handle: RePEc:hal:journl:halshs-00523585
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    1. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. van Damme, Eric & Hurkens, Sjaak, 1996. "Commitment Robust Equilibria and Endogenous Timing," Games and Economic Behavior, Elsevier, vol. 15(2), pages 290-311, August.
    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. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    11. van Damme, Eric & Hurkens, Sjaak, 2004. "Endogenous price leadership," Games and Economic Behavior, Elsevier, vol. 47(2), pages 404-420, May.
    12. Michela Redoano, 2007. "Fiscal Interactions Among European Countries. Does the EU Matter?," CESifo Working Paper Series 1952, CESifo.
    13. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    14. Rosenthal, Robert W., 1991. "A note on robustness of equilibria with respect to commitment opportunities," Games and Economic Behavior, Elsevier, vol. 3(2), pages 237-243, May.
    15. d'Aspremont, C. & Gerard-Varet, L. -A., 1980. "Stackelberg-solvable games and pre-play communication," Journal of Economic Theory, Elsevier, vol. 23(2), pages 201-217, October.
    16. Wellisch,Dietmar, 2000. "Theory of Public Finance in a Federal State," Cambridge Books, Cambridge University Press, number 9780521630351, October.
    17. Wildasin, David E., 1988. "Nash equilibria in models of fiscal competition," Journal of Public Economics, Elsevier, vol. 35(2), pages 229-240, March.
    18. Gordon, Roger H, 1992. "Can Capital Income Taxes Survive in Open Economies?," Journal of Finance, American Finance Association, vol. 47(3), pages 1159-1180, July.
    19. 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.
    20. You-Qiang Wang, 1999. "Commodity Taxes under Fiscal Competition: Stackelberg Equilibrium and Optimality," American Economic Review, American Economic Association, vol. 89(4), pages 974-981, September.
    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. Wilson, John Douglas, 1999. "Theories of Tax Competition," National Tax Journal, National Tax Association;National Tax Journal, vol. 52(2), pages 269-304, June.
    23. Devereux, Michael P. & Lockwood, Ben & Redoano, Michela, 2008. "Do countries compete over corporate tax rates?," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 1210-1235, June.
    24. 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.
    25. 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.
    26. Pascalis Raimondos-Møller & Alan D. Woodland, 2000. "Tariff strategies and small open economies," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 25-40, February.
    27. Baldwin, Richard E. & Krugman, Paul, 2004. "Agglomeration, integration and tax harmonisation," European Economic Review, Elsevier, vol. 48(1), pages 1-23, February.
    28. Federico Revelli, 2005. "On Spatial Public Finance Empirics," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 12(4), pages 475-492, August.
    29. 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..
    30. Wilson, John D., 1986. "A theory of interregional tax competition," Journal of Urban Economics, Elsevier, vol. 19(3), pages 296-315, May.
    31. Lisa Grazzini & Tanguy Van Ypersele, 2003. "Fiscal Coordination and Political Competition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(2), pages 305-325, April.
    32. Peralta, Susana & van Ypersele, Tanguy, 2005. "Factor endowments and welfare levels in an asymmetric tax competition game," Journal of Urban Economics, Elsevier, vol. 57(2), pages 258-274, March.
    33. Kanbur, Ravi & Keen, Michael, 1993. "Jeux Sans Frontieres: Tax Competition and Tax Coordination When Countries Differ in Size," American Economic Review, American Economic Association, vol. 83(4), pages 877-892, September.
    34. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    35. 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.
    36. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    37. 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.
    38. Constantinos Syropoulos, 1994. "Endogenous Timing in Games of Commercial Policy," Canadian Journal of Economics, Canadian Economics Association, vol. 27(4), pages 847-864, November.
    39. Wilson, John Douglas, 1999. "Theories of Tax Competition," National Tax Journal, National Tax Association, vol. 52(n. 2), pages 269-304, June.
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