IDEAS home Printed from https://ideas.repec.org/a/kap/pubcho/v37y1981i3p435-445.html

Instability in voluntary contributions based upon jointness in supply

Author

Listed:
  • Ralph Frasca

Abstract

The results of this analysis can be briefly summarized as follows. Voluntary provision of a public good may produce an unstable supply of this good in large group sizes. The primary characteristic responsible for this instability is jointness in supply. Non-exclusionary spillovers without jointness in supply do not produce a similar instability in the system. In a voluntary situation an individual supplies a good up until private marginal cost is equal to private marginal benefit. With spillovers in joint supply the social marginal benefit is a positive function of group size. In this case, the optimum group size is unbounded. However, at some group size the adjustment by the rest of the community to a larger social marginal benefit will cause destabilizing responses to the individual provision. With spillovers in mutually exclusive consumption the size of the social marginal benefit is unrelated to group size. Therefore, the tendency for destabilizing responses to occur as group size increases does not exist. In a voluntary setting, the supply of both quasi-public and quasi-private goods will be suboptimal. Accordingly, the attainment of optimality may suggest a reason for community-wide coordination in the provision of each good. The instability in supply of the quasi-public good provides an additional reason for coordinated group provision of this good. All other things equal, the priority for governmental action might be placed upon the provision of the quasi-public good. Copyright Martinus Nijhoff Publishers 1981

Suggested Citation

  • Ralph Frasca, 1981. "Instability in voluntary contributions based upon jointness in supply," Public Choice, Springer, vol. 37(3), pages 435-445, January.
  • Handle: RePEc:kap:pubcho:v:37:y:1981:i:3:p:435-445
    DOI: 10.1007/BF00133744
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF00133744
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/BF00133744?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. repec:cup:apsrev:v:68:y:1974:i:02:p:707-716_11 is not listed on IDEAS
    2. Clarence Morrison, 1978. "A note on providing public goods through voluntary contributions," Public Choice, Springer, vol. 33(3), pages 119-123, January.
    3. Yasu Hosomatsu, 1969. "A Note on the Stability Conditions in Cournot's Dynamic Market Solution when neither the actual Market Demand Function nor the Production Levels of Rivals are known," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(1), pages 117-122.
    4. Martin McGuire, 1974. "Group size, group homo-geneity, and the aggregate provision of a pure public good under cournot behavior," Public Choice, Springer, vol. 18(1), pages 107-126, June.
    Full references (including those not matched with items on IDEAS)

    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. Ralph Frasca, 1980. "The provision of a public good under Cournot behavior: Stability conditions," Public Choice, Springer, vol. 35(4), pages 493-501, January.
    2. Brunner, Eric & Sonstelie, Jon, 2003. "School finance reform and voluntary fiscal federalism," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 2157-2185, September.
    3. Tilak Sanyal, 2025. "Revisiting the ‘group-size paradox' in the private provision of a pure public good," Economics Bulletin, AccessEcon, vol. 45(1), pages 653-667.
    4. Wolfgang Buchholz & Kai Konrad, 1994. "Global environmental problems and the strategic choice of technology," Journal of Economics, Springer, vol. 60(3), pages 299-321, October.
    5. Hummel Jeffrey Rogers & Lavoie Don, 1994. "National Defense And The Public-Goods Problem," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 5(2-3), pages 353-378, June.
    6. Hefti, Andreas, 2016. "On the relationship between uniqueness and stability in sum-aggregative, symmetric and general differentiable games," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 83-96.
    7. Jean Hindriks & Romans Pancs, 2002. "Free Riding on Altruism and Group Size," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(3), pages 335-346, July.
    8. Toshihiro Ihori, 2000. "Defense Expenditures and Allied Cooperation," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(6), pages 854-867, December.
    9. Thomas Gaube, 2005. "Altruism and charitable giving in a fully replicated economy," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2005_8, Max Planck Institute for Behavioral Economics.
    10. Wang, Chengsi & Zudenkova, Galina, 2016. "Non-monotonic group-size effect in repeated provision of public goods," European Economic Review, Elsevier, vol. 89(C), pages 116-128.
    11. Paul Pecorino & Akram Temimi, 2008. "The Group Size Paradox Revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 785-799, October.
    12. Paul Pecorino, 2015. "Olson’s Logic of Collective Action at fifty," Public Choice, Springer, vol. 162(3), pages 243-262, March.
    13. Jeroen Weesie, 1990. "Participation in Voluntary Organizations and Group Size," Rationality and Society, , vol. 2(1), pages 35-66, January.
    14. Paul Pecorino, 2013. "Monopolistic Competition and Public Good Provision with By‐product Firms," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(4), pages 875-893, December.
    15. Debasis Mondal, 2015. "Private provision of public good and immiserizing growth," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 29-49, June.
    16. Colombo, Luca & Labrecciosa, Paola & Van Long, Ngo, 2022. "A dynamic analysis of international environmental agreements under partial cooperation," European Economic Review, Elsevier, vol. 143(C).
    17. John Chamberlin, 1976. "A diagrammatic exposition of the logic of collection action," Public Choice, Springer, vol. 26(1), pages 59-74, June.
    18. Gaube, Thomas, 2000. "Group size and free riding when private and public goods are gross substitutes," Bonn Econ Discussion Papers 13/2000, University of Bonn, Bonn Graduate School of Economics (BGSE).
    19. Konrad, Kai A., 1998. "Local public goods and central charities," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 345-362, May.
    20. Dijkstra, Bouwe R., 2007. "An investment contest to influence environmental policy," Resource and Energy Economics, Elsevier, vol. 29(4), pages 300-324, November.

    More about this item

    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:kap:pubcho:v:37:y:1981:i:3:p:435-445. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.