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Leadership in Public Good Provision: a Timing Game Perspective

Listed author(s):
  • Kempf, H.
  • Rota Graziosi, G.

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 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, each of them 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.

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File URL: https://publications.banque-france.fr/sites/default/files/medias/documents/working-paper_240_2009.pdf
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Paper provided by Banque de France in its series Working papers with number 240.

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Length: 34 pages
Date of creation: 2009
Handle: RePEc:bfr:banfra:240
Contact details of provider: Postal:
Banque de France 31 Rue Croix des Petits Champs LABOLOG - 49-1404 75049 PARIS

Web page: http://www.banque-france.fr/

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  1. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
  2. 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.
  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, December.
  4. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
  5. 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.
  6. 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.
  7. Ben Lockwood, 2002. "Distributive Politics and the Costs of Centralization," Review of Economic Studies, Oxford University Press, vol. 69(2), pages 313-337.
  8. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
  9. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
  10. 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.
  11. 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.
  12. Ellingsen, Tore, 1998. "Externalities vs internalities: a model of political integration," Journal of Public Economics, Elsevier, vol. 68(2), pages 251-268, May.
  13. repec:adr:anecst:y:2005:i:77:p:11 is not listed on IDEAS
  14. 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.
  15. Francis Bloch & Unal Zenginobuz, 2007. "The effect of spillovers on the provision of local public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 199-216, November.
  16. 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.
  17. Toshihiro Ihori, 2000. "Defense Expenditures and Allied Cooperation," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(6), pages 854-867, December.
  18. Toshihiro Ihori, 2000. "Defense Expenditures and Allied Cooperation," CIRJE F-Series CIRJE-F-68, CIRJE, Faculty of Economics, University of Tokyo.
  19. Pal, Debashis, 1996. "Endogenous Stackelberg Equilibria with Identical Firms," Games and Economic Behavior, Elsevier, vol. 12(1), pages 81-94, January.
  20. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
  21. 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.
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  23. 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.
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