IDEAS home Printed from https://ideas.repec.org/a/bla/jpbect/v16y2014i2p173-195.html
   My bibliography  Save this article

Voluntary Participation and Provision of Public Goods in Large Finite Economies

Author

Listed:
  • HIDEO KONISHI
  • RYUSUKE SHINOHARA

Abstract

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.

Suggested Citation

  • Hideo Konishi & Ryusuke Shinohara, 2014. "Voluntary Participation and Provision of Public Goods in Large Finite Economies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(2), pages 173-195, April.
  • Handle: RePEc:bla:jpbect:v:16:y:2014:i:2:p:173-195
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/jpet.12054
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 217-225.
    3. 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.
    4. 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.
    5. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
    6. 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.
    7. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
    8. Furusawa, Taiji & ,, 2011. "Contributing or free-riding? Voluntary participation in a public good economy," Theoretical Economics, Econometric Society, vol. 6(2), May.
    9. Ryusuke Shinohara, 2009. "The possibility of efficient provision of a public good in voluntary participation games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 367-387, March.
    10. 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.
    11. 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.
    12. Paul Healy, 2010. "Equilibrium participation in public goods allocations," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 27-50, March.
    13. 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.
    14. 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.
    15. Tatsuyoshi Saijo & Takehiko Yamato, 2010. "Fundamental impossibility theorems on voluntary participation in the provision of non-excludable public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 14(1), pages 51-73, March.
    16. Ryusuke Shinohara, 2010. "Coalition-proof equilibria in a voluntary participation game," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 603-615, October.
    17. 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.
    18. Dixit, Avinash & Olson, Mancur, 2000. "Does voluntary participation undermine the Coase Theorem?," Journal of Public Economics, Elsevier, vol. 76(3), pages 309-335, June.
    19. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    20. Wooders, Myrna Holtz, 1983. "The epsilon core of a large replica game," Journal of Mathematical Economics, Elsevier, vol. 11(3), pages 277-300, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Matsushima, Noriaki & Shinohara, Ryusuke, 2019. "Pre-negotiation commitment and internalization in public good provision through bilateral negotiations," Journal of Public Economics, Elsevier, vol. 175(C), pages 84-93.
    3. Noriaki Matsushima & Ryusuke Shinohara, 2015. "The efficiency of monopolistic provision of public goods through simultaneous bilateral bargaining," ISER Discussion Paper 0948, Institute of Social and Economic Research, Osaka University.
    4. Takuma Wakayama & Takehiko Yamato, 2023. "Comparison of the voluntary contribution and Pareto-efficient mechanisms under voluntary participation," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 517-553, June.
    5. Paul Pecorino, 2015. "Olson’s Logic of Collective Action at fifty," Public Choice, Springer, vol. 162(3), pages 243-262, March.
    6. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 925-952, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Takuma Wakayama & Takehiko Yamato, 2023. "Comparison of the voluntary contribution and Pareto-efficient mechanisms under voluntary participation," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 517-553, June.
    2. Furusawa, Taiji & ,, 2011. "Contributing or free-riding? Voluntary participation in a public good economy," Theoretical Economics, Econometric Society, vol. 6(2), May.
    3. Ryusuke Shinohara, 2014. "Participation and demand levels for a joint project," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 925-952, December.
    4. 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;The Society for Social Choice and Welfare, vol. 40(3), pages 793-814, March.
    5. Noriaki Matsushima & Ryusuke Shinohara, 2015. "The efficiency of monopolistic provision of public goods through simultaneous bilateral bargaining," ISER Discussion Paper 0948, Institute of Social and Economic Research, Osaka University.
    6. Hideo Konishi & Taiji Furusawa, 2008. "Contributing or Free-Riding? A Theory of Endogenous Lobby Formation," Working Papers 2008.23, Fondazione Eni Enrico Mattei.
    7. Cason, Timothy N. & Saijo, Tatsuyoshi & Yamato, Takehiko & Yokotani, Konomu, 2004. "Non-excludable public good experiments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 81-102, October.
    8. Matsushima, Noriaki & Shinohara, Ryusuke, 2019. "Pre-negotiation commitment and internalization in public good provision through bilateral negotiations," Journal of Public Economics, Elsevier, vol. 175(C), pages 84-93.
    9. 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.
    10. Nizar Allouch, 2010. "A Core‐Equilibrium Convergence in a Public Goods Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(4), pages 857-870, August.
    11. Tatsuyoshi Saijo & Takehiko Yamato & Konomu Yokotani, 2003. "Non-Excludable Public Good Experiments revised October 2003, forthcoming in Games and Economic Behavior," Discussion papers 03011, Research Institute of Economy, Trade and Industry (RIETI).
    12. Paul Pecorino, 2015. "Olson’s Logic of Collective Action at fifty," Public Choice, Springer, vol. 162(3), pages 243-262, March.
    13. Liu, Tracy Xiao & Lu, Jingfeng & Wang, Zhewei, 2022. "Efficient public good provision by lotteries with nonlinear pricing," Journal of Economic Behavior & Organization, Elsevier, vol. 204(C), pages 680-698.
    14. Sertel, Murat R. & Sanver, M. Remzi, 1999. "Equilibrium outcomes of Lindahl-endowment pretension games1," European Journal of Political Economy, Elsevier, vol. 15(2), pages 149-162, June.
    15. Nizar Allouch, 2009. "A Core-equilibrium Convergence in an Economy with Public Goods," Working Papers 642, Queen Mary University of London, School of Economics and Finance.
    16. Monique Florenzano, 2010. "Government and the provision of public goods:from equilibrium models to mechanismdesign," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 17(4), pages 1047-1077.
    17. Hong, Fuhai & Lim, Wooyoung, 2016. "Voluntary participation in public goods provision with Coasian bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 102-119.
    18. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    19. Jie Ning & Volodymyr Babich, 2018. "R&D Investments in the Presence of Knowledge Spillover and Debt Financing: Can Risk Shifting Cure Free Riding?," Manufacturing & Service Operations Management, INFORMS, vol. 20(1), pages 97-112, February.
    20. Ledyard, John O., "undated". "Public Goods: A Survey of Experimental Research," Working Papers 861, California Institute of Technology, Division of the Humanities and Social Sciences.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jpbect:v:16:y:2014:i:2:p:173-195. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/apettea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.