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Threshold Uncertainty in the Private-Information Subscription Game

  • Stefano Barbieri

    ()

    (Department of Economics, Tulane University)

  • David A. Malueg

    ()

    (Department of Economics, UC Riverside)

We introduce threshold uncertainty, a la Nitzan and Romano (1990), into a private-values model of voluntary provision of a discrete public good. Players are allowed to make any level of contribution toward funding the good, which is provided only if the cost threshold is reached. Otherwise, contributions are refunded. Conditions ensuring existence and uniqueness of a Bayesian equilibrium are established. Further restricting the threshold uncertainty to a uniform distribution, we show the equilibrium strategies are very simple, even allowing for any number of players with asymmetric distributions of values. Comparative statics with respect to changes in players' distributions are derived, allowing changes in both the intensity and the dispersion of values. Finally, we show the equilibrium is interim incentive inefficient. The sharpness of our results greatly contrasts with the more qualified insights of earlier private-values models with known cost threshold, which relied on there being two symmetric players and generally exhibited multiple equilibria.

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File URL: http://econ.tulane.edu/RePEc/pdf/tul0903.pdf
File Function: First version, 2009
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Paper provided by Tulane University, Department of Economics in its series Working Papers with number 0903.

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Length: 36 pages
Date of creation: Feb 2009
Date of revision:
Handle: RePEc:tul:wpaper:0903
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  1. Admati, Anat R & Perry, Motty, 1991. "Joint Projects without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 58(2), pages 259-76, April.
  2. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
  3. Alboth, Dirk & Lerner, Anat & Shalev, Jonathan, 2001. " Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-25.
  4. McBride, Michael, 2006. "Discrete public goods under threshold uncertainty," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1181-1199, August.
  5. Alesina, Alberto & La Ferrara, Eliana, 2005. "Ethnic Diversity and Economic Performance," Scholarly Articles 4553005, Harvard University Department of Economics.
  6. Cadsby, Charles Bram & Maynes, Elizabeth, 1999. "Voluntary provision of threshold public goods with continuous contributions: experimental evidence," Journal of Public Economics, Elsevier, vol. 71(1), pages 53-73, January.
  7. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
  8. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
  9. Richard Cornes & Roger Hartley, 2007. "Aggregative Public Good Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(2), pages 201-219, 04.
  10. Alberto Alesina & Eliana La Ferrara, 2000. "Participation In Heterogeneous Communities," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 847-904, August.
  11. Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, 07.
  12. Ledyard, John O. & Palfrey, Thomas R., 2007. "A general characterization of interim efficient mechanisms for independent linear environments," Journal of Economic Theory, Elsevier, vol. 133(1), pages 441-466, March.
  13. Martimort, David & Moreira, Humberto, 2010. "Common agency and public good provision under asymmetric information," Theoretical Economics, Econometric Society, vol. 5(2), May.
  14. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
  15. 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.
  16. Potters, Jan & Sloof, Randolph, 1996. "Interest groups: A survey of empirical models that try to assess their influence," European Journal of Political Economy, Elsevier, vol. 12(3), pages 403-442, November.
  17. Stefano Barbieri & David A. Malueg, 2008. "Private Provision of a Discrete Public Good: Continuous-Strategy Equilibria in the Private-Information Subscription Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(4), pages 529-545, 08.
  18. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 351-67, July.
  19. Nitzan, Shmuel & Romano, Richard E., 1990. "Private provision of a discrete public good with uncertain cost," Journal of Public Economics, Elsevier, vol. 42(3), pages 357-370, August.
  20. Menezes, Flavio M. & Monteiro, Paulo K. & Temimi, Akram, 2001. "Private provision of discrete public goods with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 493-514, July.
  21. La Ferrara, Eliana & Alesina, Alberto, 2000. "Participation in Heterogeneous Communities," Scholarly Articles 4551796, Harvard University Department of Economics.
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