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Voluntary Participation and the Provision of Public Goods in Large Finite Economies

  • Hideo Konishi

    ()

    (Boston College)

  • Ryusuke Shinohara

    (Shinshu University)

We consider a public good provision game with voluntary participation. Agents participating in the game provide a public good and pay the fees according to a mechanism (allocation rule), while nonparticipants can free-ride on the participants. We examine how the equilibrium public good provision level is affected by enlarging the population of an economy. We introduce a condition for an allocation rule, the asymptotic uniform continuity in replication (AUCR), which requires that small changes in the population must yield only small changes in the public good provision and which is satisfied by many mechanisms. We show that under AUCR, the equilibrium level of the public good converges to zero as the economy is replicated in the sense of Milleron (1972).

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 776.

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Date of creation: 26 Aug 2011
Date of revision:
Publication status: published, Journal of Public Economic Theory 16, 173-195, 2014
Handle: RePEc:boc:bocoec:776
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  1. Ryusuke Shinohara, 2010. "Coalition-proof equilibria in a voluntary participation game," International Journal of Game Theory, Springer, vol. 39(4), pages 603-615, October.
  2. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  3. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
  4. Taiji Furusawa & Hideo Konishi, 2010. "Contributing or Free-Riding? Voluntary Participation in a Public Good Economy," Global COE Hi-Stat Discussion Paper Series gd09-128, Institute of Economic Research, Hitotsubashi University.
  5. Wooders, Myrna, 2008. "Small group effectiveness, per capita boundedness and nonemptiness of approximate cores," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 888-906, July.
  6. 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.
  7. 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.
  8. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
  9. Paul Healy, 2005. "Equilibrium Participation in Public Goods Allocations," GSIA Working Papers 2006-E7, Carnegie Mellon University, Tepper School of Business.
  10. Dixit, Avinash & Olson, Mancur, 2000. "Does voluntary participation undermine the Coase Theorem?," Journal of Public Economics, Elsevier, vol. 76(3), pages 309-335, June.
  11. Allouch, Nizar & Wooders, Myrna, 2008. "Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes," Journal of Economic Theory, Elsevier, vol. 140(1), pages 246-278, May.
  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. 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.
  14. Muench, Thomas J., 1972. "The core and the Lindahl equilibrium of an economy with a public good: an example," Journal of Economic Theory, Elsevier, vol. 4(2), pages 241-255, April.
  15. 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.
  16. 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.
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