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Contributing or Free-Riding? Voluntary Participation in a Public Good Economy

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  • Taiji Furusawa

    (Hitotsubashi University)

  • Hideo Konishi

    ()
    (Boston College)

Abstract

We consider a (pure) public goods provision problem with voluntary participation in a quasi-linear economy. We propose a new hybrid solution concept, the free-riding-proof core (FRP-Core), which endogenously determine a contribution group, public good provision level, and its cost-sharing. The definition of the FRP-Core is based on credibility of coalitional deviations. The FRP-Core is always nonempty in public good economy but does not usually achieve global efficiency. The FRP-Core has support from both cooperative and noncooperative games. In particular, it is equivalent to the set of perfectly coalition-proof Nash equilibrium (Bernheim, Peleg and Whinston, 1987 JET) of a dynamic game with participation decision followed by a common agency game. We illustrate the properties of the FRP-Core with an example. We also show that the equilibrium level of public good shrinks to zero as the economy is replicated.

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Bibliographic Info

Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 681.

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Date of creation: 11 Feb 2008
Date of revision: 04 Aug 2010
Publication status: published, Theoretical Economics 6, 219-256, 2011.
Handle: RePEc:boc:bocoec:681

Note: Previously circulated as "Contributing or Free-Riding? A Theory of Endogenous Lobby Formation"
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Related research

Keywords: endogenous coalition formation; externalities; public good; perfectly coalition-proof Nash equilibrium; free riders; free-riding-proof core; lobbying; common agency game;

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References

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  1. Theodore Groves & John Ledyard, 1976. "Optimal Allocation of Public Goods: A Solution to the 'Free Rider Problem'," Discussion Papers 144, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. 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.
  3. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
  4. Saijo, Tatsuyoshi & Yamato, Takehiko, 1999. "A Voluntary Participation Game with a Non-excludable Public Good," Journal of Economic Theory, Elsevier, vol. 84(2), pages 227-242, February.
  5. Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December.
  6. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
  7. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
  8. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  9. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1999. "On Coalition-Proof Nash Equilibria in Common Agency Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 122-139, March.
  10. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  11. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  12. Laussel, Didier & Le Breton, Michel, 2001. "Conflict and Cooperation: The Structure of Equilibrium Payoffs in Common Agency," Journal of Economic Theory, Elsevier, vol. 100(1), pages 93-128, September.
  13. Devashish Mitra, 1999. "Endogenous Lobby Formation and Endogenous Protection: A Long-Run Model of Trade Policy Determination," American Economic Review, American Economic Association, vol. 89(5), pages 1116-1134, December.
  14. Conley John P., 1994. "Convergence Theorems on the Core of a Public Goods Economy: Sufficient Conditions," Journal of Economic Theory, Elsevier, vol. 62(1), pages 161-185, February.
  15. Laussel, Didier & Le Breton, Michel, 1998. "Efficient Private Production of Public Goods under Common Agency," Games and Economic Behavior, Elsevier, vol. 25(2), pages 194-218, November.
  16. Bombardini, Matilde, 2008. "Firm heterogeneity and lobby participation," Journal of International Economics, Elsevier, vol. 75(2), pages 329-348, July.
  17. Le Breton, Michel & Salanie, Francois, 2003. "Lobbying under political uncertainty," Journal of Public Economics, Elsevier, vol. 87(12), pages 2589-2610, December.
  18. Paul Healy, 2005. "Equilibrium Participation in Public Goods Allocations," GSIA Working Papers 2006-E7, Carnegie Mellon University, Tepper School of Business.
  19. Maruta, Toshimasa & Okada, Akira, 2005. "Group Formation and Heterogeneity in Collective Action Games," Discussion Papers 2005-07, Graduate School of Economics, Hitotsubashi University.
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Citations

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Cited by:
  1. Federico Quartieri, 2013. "Coalition-proofness under weak and strong Pareto dominance," Social Choice and Welfare, Springer, vol. 40(2), pages 553-579, February.
  2. Yukihiro Nishimura & Ryusuke Shinohara, 2013. "A voluntary participation game through a unit-by-unit cost share mechanism of a non-excludable public good," Social Choice and Welfare, Springer, vol. 40(3), pages 793-814, March.
  3. FURUSAWA Taiji & KONISHI Hideo, 2011. "Free-Riding-Proof International Environmental Agreements," Discussion papers 11043, Research Institute of Economy, Trade and Industry (RIETI).
  4. Zudenkova, Galina, 2010. "Sincere Lobby Formation," Working Papers 2072/151545, Universitat Rovira i Virgili, Department of Economics.
  5. Ryusuke Shinohara, 2010. "Coalition-proof equilibria in a voluntary participation game," International Journal of Game Theory, Springer, vol. 39(4), pages 603-615, October.
  6. Noriaki Matsushima & Ryusuke Shinohara, 2012. "Private Provision of Public Goods that are Complements for Private Goods: Application to Open Source Software Developments," ISER Discussion Paper 0830, Institute of Social and Economic Research, Osaka University.
  7. Hideo Konishi & Ryusuke Shinohara, 2011. "Voluntary Participation and the Provision of Public Goods in Large Finite Economies," Boston College Working Papers in Economics 776, Boston College Department of Economics.
  8. Zudenkova, Galina, 2012. "Lobbying as a Guard against Extremism," Working Papers 2072/184036, Universitat Rovira i Virgili, Department of Economics.

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