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

  • FURUSAWA Taiji
  • KONISHI Hideo

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 determines a contribution group, public goods provision level, and how to share the provision costs. The FRP-Core is always nonempty in public goods economies 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 equilibria (Bernheim, Peleg, and Whinston, 1987) of a dynamic game with players' participation decisions followed by a common agency game of public goods provision.

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Paper provided by Research Institute of Economy, Trade and Industry (RIETI) in its series Discussion papers with number 11028.

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Length: 54 pages
Date of creation: Mar 2011
Date of revision:
Handle: RePEc:eti:dpaper:11028
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  1. 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.
  2. 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.
  3. Paul Healy, 2005. "Equilibrium Participation in Public Goods Allocations," GSIA Working Papers 2006-E7, Carnegie Mellon University, Tepper School of Business.
  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. LAUSSEL, Didier & LE BRETON, Michel, . "Conflict and cooperation. The structure of equilibrium payoffs in common agency," CORE Discussion Papers RP -1519, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. 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.
  7. Groves, Theodore & Ledyard, John O, 1977. "Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem," Econometrica, Econometric Society, vol. 45(4), pages 783-809, May.
  8. 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.
  9. 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.
  10. 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.
  11. Bombardini, Matilde, 2008. "Firm heterogeneity and lobby participation," Journal of International Economics, Elsevier, vol. 75(2), pages 329-348, July.
  12. 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.
  13. 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.
  14. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
  15. Maruta, Toshimasa & Okada, Akira, 2005. "Group Formation and Heterogeneity in Collective Action Games," Discussion Papers 2005-07, Graduate School of Economics, Hitotsubashi University.
  16. Le Breton, Michel & Salanie, Francois, 2003. "Lobbying under political uncertainty," Journal of Public Economics, Elsevier, vol. 87(12), pages 2589-2610, December.
  17. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  18. 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.
  19. 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.
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