IDEAS home Printed from https://ideas.repec.org/p/cmu/gsiawp/379933039.html
   My bibliography  Save this paper

Equilibrium Participation in Public Goods Allocations

Author

Abstract

An alternative notion of individual rationality for mechanism design is studied in which mechanisms suggest public goods allocations and individuals then choose whether or not to submit their requested transfer to the central planner. The set of allocations such that unanimous participation is a Nash equilibrium is shown to be sub-optimal in a wide variety of environments and shrinks to the endowment as the economy is replicated. Therefore, any non-trivial mechanism suffers from non-participation in the selected outcome when agents cannot be coerced to contribute.

Suggested Citation

  • Paul Healy, 2005. "Equilibrium Participation in Public Goods Allocations," GSIA Working Papers 2006-E7, Carnegie Mellon University, Tepper School of Business.
    • Handle: RePEc:cmu:gsiawp:379933039
    as

    Download full text from publisher

    File URL: https://student-3k.tepper.cmu.edu/gsiadoc/wp/2006-E7.pdf
    Download Restriction: no
    ---><---

    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. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
    3. Eric Maskin & John Moore, 1999. "Implementation and Renegotiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 39-56.
    4. Champsaur, Paul & Roberts, Donald John & Rosenthal, Robert W, 1975. "On Cores in Economies with Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 751-764, October.
    5. Richter, Donald K, 1974. "The Core of a Public Goods Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 131-142, February.
    6. Hurwicz, Leonid, 1979. "On allocations attainable through Nash equilibria," Journal of Economic Theory, Elsevier, vol. 21(1), pages 140-165, August.
    7. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    8. Matthew O. Jackson & Thomas R. Palfrey, 1998. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Econometrica, Econometric Society, vol. 66(6), pages 1353-1388, November.
    9. 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.
    10. John Ledyard & John Roberts, 1975. "On the Incentive Problem with Public Goods," Discussion Papers 116, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Ma, Ching-to & Moore, John & Turnbull, Stephen, 1988. "Stopping agents from "cheating"," Journal of Economic Theory, Elsevier, vol. 46(2), pages 355-372, December.
    12. 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.
    13. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, 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. Wolfgang Buchholz & Richard Cornes & Dirk Rübbelke, 2020. "Matching in the Kolm triangle: interiority and participation constraints of matching equilibria," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 47(5), pages 1039-1050, April.
    2. 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.
    3. 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.
    4. Furusawa, Taiji & ,, 2011. "Contributing or free-riding? Voluntary participation in a public good economy," Theoretical Economics, Econometric Society, vol. 6(2), May.
    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. 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.
    7. Grüner, Hans Peter & Koriyama, Yukio, 2012. "Public goods, participation constraints, and democracy: A possibility theorem," Games and Economic Behavior, Elsevier, vol. 75(1), pages 152-167.
    8. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
    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. 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.

    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. repec:cte:werepe:we081207 is not listed on IDEAS
    2. 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.
    3. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    4. Amoros, Pablo, 2004. "Nash implementation and uncertain renegotiation," Games and Economic Behavior, Elsevier, vol. 49(2), pages 424-434, November.
    5. 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.
    6. 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.
    7. Monique Florenzano, 2009. "From equilibrium models to mechanism design: On the place and the role of government in the public goods provision analysis in the second part of the twentieth century," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00367859, HAL.
    8. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    9. Yi, Jianxin, 2011. "Implementation via mechanisms with transfers," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 65-70, January.
    10. Hideo Konishi & Taiji Furusawa, 2008. "Contributing or Free-Riding? A Theory of Endogenous Lobby Formation," Working Papers 2008.23, Fondazione Eni Enrico Mattei.
    11. Furusawa, Taiji & ,, 2011. "Contributing or free-riding? Voluntary participation in a public good economy," Theoretical Economics, Econometric Society, vol. 6(2), May.
    12. Triossi, Matteo, 2005. "Implementation with state dependent feasible sets and preferences: a renegotiation approach," UC3M Working papers. Economics we057136, Universidad Carlos III de Madrid. Departamento de Economía.
    13. Jackson, Matthew O. & Palfrey, Thomas R., 2001. "Voluntary Implementation," Journal of Economic Theory, Elsevier, vol. 98(1), pages 1-25, May.
    14. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
    15. , J. & ,, 2012. "Designing stable mechanisms for economic environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    16. Jon X. Eguia & Dimitrios Xefteris, 2021. "Implementation by Vote-Buying Mechanisms," American Economic Review, American Economic Association, vol. 111(9), pages 2811-2828, September.
    17. Byungchae Rhee, 2004. "A Characterization of Optimal Feasible Tax Mechanism," Econometric Society 2004 Far Eastern Meetings 551, Econometric Society.
    18. Leonardo Becchetti & Nazaria Solferino & M. Tessitore, 2015. "How to safeguard world heritage sites? A theoretical model of “cultural responsibility”," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 62(3), pages 223-248, September.
    19. Hannu Vartiainen, 2008. "Repeated implementation and complexity considerations," Review of Economic Design, Springer;Society for Economic Design, vol. 11(4), pages 271-293, February.
    20. 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.
    21. 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.

    More about this item

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • 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:cmu:gsiawp:379933039. 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: Steve Spear (email available below). General contact details of provider: https://www.cmu.edu/tepper .

    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.