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Leadership in Public Good Provision: a Timing Game Perspective

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)

Abstract

We address in this paper the issue of leadership when two governments provide public goods to their constituencies with cross border externalities as both public goods are valued by consumers in both countries. We study a timing game between two different countries: before providing public goods, the two policymakers non-cooperatively decide their preferred sequence of moves. We establish conditions under which a first- or second-mover advantage emerges for each country, highlighting the role of spillovers and the strategic complementarity or substitutability of public goods. As a result we are able to prove that there is no leader when, for both countries, public goods are substitutable. When public goods are complements for both countries, both countries may emerge as the leader in the game. Hence a coordination issue arises. We use the notion of risk-dominance to select the leading government. Lastly, in the mixed case, the government for whom public goods are substitutable becomes the leader.

Suggested Citation

  • Grégoire Rota-Graziosi & Hubert Kempf, 2011. "Leadership in Public Good Provision: a Timing Game Perspective," CERDI Working papers halshs-00556944, HAL.
  • Handle: RePEc:hal:cdiwps:halshs-00556944
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00556944
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    References listed on IDEAS

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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. 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, December.
    3. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
    4. Hubert Kempf & Emmanuelle Taugourdeau, 2005. "Dépenses publiques dans une économie à deux pays : Stackelberg versus Nash," Annals of Economics and Statistics, GENES, issue 77, pages 173-185.
    5. Richard Cornes, 1993. "Dyke Maintenance and Other Stories: Some Neglected Types of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 259-271.
    6. 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.
    7. Robert Dur & Hein Roelfsema, 2005. "Why does centralisation fail to internalise policy externalities?," Public Choice, Springer, vol. 122(3), pages 395-416, March.
    8. Bagwell, Kyle & Wolinsky, Asher, 2002. "Game theory and industrial organization," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 49, pages 1851-1895, Elsevier.
    9. Cornes, Richard & Hartley, Roger, 2007. "Weak links, good shots and other public good games: Building on BBV," Journal of Public Economics, Elsevier, vol. 91(9), pages 1684-1707, September.
    10. Daughety, Andrew F & Reinganum, Jennifer F, 1994. "Asymmetric Information Acquisition and Behavior in Role Choice Models: An Endogenously Generated Signaling Game," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 795-819, November.
    11. Toshihiro Ihori, 2000. "Defense Expenditures and Allied Cooperation," CIRJE F-Series CIRJE-F-68, CIRJE, Faculty of Economics, University of Tokyo.
    12. 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.
    13. repec:adr:anecst:y:2005:i:77:p:11 is not listed on IDEAS
    14. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    15. Alberto Alesina & Ignazio Angeloni & Federico Etro, 2005. "International Unions," American Economic Review, American Economic Association, vol. 95(3), pages 602-615, June.
    16. Besley, Timothy & Coate, Stephen, 2003. "Centralized versus decentralized provision of local public goods: a political economy approach," Journal of Public Economics, Elsevier, vol. 87(12), pages 2611-2637, December.
    17. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    18. Pal, Debashis, 1996. "Endogenous Stackelberg Equilibria with Identical Firms," Games and Economic Behavior, Elsevier, vol. 12(1), pages 81-94, January.
    19. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
    20. Ellingsen, Tore, 1998. "Externalities vs internalities: a model of political integration," Journal of Public Economics, Elsevier, vol. 68(2), pages 251-268, May.
    21. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    22. Redoano, Michela & Scharf, Kimberly A., 2004. "The political economy of policy centralization: direct versus representative democracy," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 799-817, March.
    23. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
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