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Equilibrium Participation in Public Goods Allocations

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.

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File URL: https://student-3k.tepper.cmu.edu/gsiadoc/wp/2006-E7.pdf
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Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2006-E7.

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Date of creation: Nov 2005
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Handle: RePEc:cmu:gsiawp:379933039
Contact details of provider: Postal: Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890
Web page: http://www.tepper.cmu.edu/

Order Information: Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp

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Find related papers by 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

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  1. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  2. Tatsuyoshi Saijo, 2003. "Non-Excludable Public Good Experiments," Theory workshop papers 505798000000000027, UCLA Department of Economics.
  3. Jackson, Matthew O. & Palfrey, Thomas R., 1999. "Voluntary Implementation," Working Papers 1077, California Institute of Technology, Division of the Humanities and Social Sciences.
  4. Matthew O. Jackson & Thomas R. Palfrey, 1997. "Efficiency and Voluntary Implementation in Markets with Repeated Pairwise Bargaining," Game Theory and Information 9711003, EconWPA.
  5. Eric Maskin & John Moore, 1998. "Implementation and renegotiation," LSE Research Online Documents on Economics 19350, London School of Economics and Political Science, LSE Library.
  6. 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.
  7. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  8. 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.
  9. 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.
  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. 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 131-42, February.
  13. Hurwicz, Leonid, 1979. "On allocations attainable through Nash equilibria," Journal of Economic Theory, Elsevier, vol. 21(1), pages 140-165, August.
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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. 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.
  3. Grüner, Hans Peter, 2008. "Public goods, participation constraints, and democracy: A possibility theorem," CEPR Discussion Papers 7066, C.E.P.R. Discussion Papers.
  4. Hideo Konishi & Ryusuke Shinohara, 2011. "Voluntary Participation and the Provision of Public Goods in Large Finite Economies," Boston College Working Papers in Economics 776, Boston College Department of Economics.
  5. 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, vol. 40(3), pages 793-814, March.
  6. 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.

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