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On the Private Provision of Public Goods on Networks

  • Nizar Allouch

    (Queen Mary, University of London, School of Economics and Finance)

This paper analyzes the private provision of public goods where consumers interact within a fixed network structure and may benefit only from their direct neighbors’ provisions. We present a proof for existence and uniqueness of a Nash equilibrium with general best-reply functions. Our uniqueness result simultaneously extends similar results in Bergstrom, Blume, and Varian (1986) on the private provision of public goods to networks and Bramoullé, Kranton, and D'Amours (2011) on games of strategic substitutes to nonlinear best-reply functions. In addition, we investigate the neutrality result of Warr (1983) and Bergstrom, Blume, and Varian (1986) whereby consumers are able to offset income redistributions and tax-financed government contributions. To this effect, we establish that the neutrality result has a limited scope of application beyond regular networks.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2012.40.

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Date of creation: May 2012
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Handle: RePEc:fem:femwpa:2012.40
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  1. Roger Hartley & Richard Cornes, 2003. "Aggregative Public Good Games," Keele Economics Research Papers KERP 2003/05, Centre for Economic Research, Keele University.
  2. Michael Koenig & Claudio Tessone & Yves Zenou, 2012. "Nestedness in Networks: A Theoretical Model and Some Applications," Discussion Papers 11-003, Stanford Institute for Economic Policy Research.
  3. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 218-244.
  4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  5. Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, vol. 100(4), pages 1468-92, September.
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  7. Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
  8. Bergstrom, Ted C. & Blume, Larry & Varian, Hal, 1992. "Uniqueness of Nash equilibrium in private provision of public goods : An improved proof," Journal of Public Economics, Elsevier, vol. 49(3), pages 391-392, December.
  9. Yann Bramoullé & Rachel Kranton & Martin D'Amours, 2010. "Strategic Interaction and Networks," Cahiers de recherche 1018, CIRPEE.
  10. Foster, Andrew D & Rosenzweig, Mark R, 1995. "Learning by Doing and Learning from Others: Human Capital and Technical Change in Agriculture," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1176-1209, December.
  11. Bloch, Francis & Zenginobuz, Unal, 2004. "The Effect of Spillovers on the Provision of Local Public Goods," MPRA Paper 186, University Library of Munich, Germany, revised 05 Oct 2006.
  12. al-Nowaihi, A. & Levine, P. L., 1985. "The stability of the cournot oligopoly model: A reassessment," Journal of Economic Theory, Elsevier, vol. 35(2), pages 307-321, August.
  13. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
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  15. Fraser, Clive D., 1992. "The uniqueness of Nash equilibrium in the private provision of public goods : An alternative proof," Journal of Public Economics, Elsevier, vol. 49(3), pages 389-390, December.
  16. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  17. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-22, February.
  18. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-77, June.
  19. Luca Corazzini & Ugo Gianazza, 2008. "Unequal Contributions from Symmetric Agents in a Local Interaction Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 351-370, 06.
  20. Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-79, March.
  21. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks
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  22. Moffitt, Robert, 1989. "Estimating the Value of an In-Kind Transfer: The Case of Food Stamps," Econometrica, Econometric Society, vol. 57(2), pages 385-409, March.
  23. Warr, Peter G., 1983. "The private provision of a public good is independent of the distribution of income," Economics Letters, Elsevier, vol. 13(2-3), pages 207-211.
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