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

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Author Info
Taiji Furusawa (Hitotsubashi University)
Hideo Konishi () (Boston College)

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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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Publisher 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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Length: 47 pages
Date of creation: 11 Feb 2008
Date of revision: 14 Jul 2009
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;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. Bombardini, Matilde, 2008. "Firm heterogeneity and lobby participation," Journal of International Economics, Elsevier, vol. 75(2), pages 329-348, July. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 217-25, April. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
    Other versions:
  14. Le Breton, Michel & Salanie, Francois, 2003. "Lobbying under political uncertainty," Journal of Public Economics, Elsevier, vol. 87(12), pages 2589-2610, December. [Downloadable!] (restricted)
  15. 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. [Downloadable!] (restricted)
  16. Paul Healy, 2005. "Equilibrium Participation in Public Goods Allocations," GSIA Working Papers 2006-E7, Carnegie Mellon University, Tepper School of Business. [Downloadable!]
  17. Maruta, Toshimasa & Okada, Akira, 2005. "Group Formation and Heterogeneity in Collective Action Games," Discussion Papers 2005-07, Graduate School of Economics, Hitotsubashi University. [Downloadable!]
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