Threshold uncertainty in the private-information subscription game
AbstractWe introduce threshold uncertainty, à 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 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. For example, increased uncertainty, in the sense of mean-preserving spreads of players' distributions of values, increases equilibrium contributions. 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Public Economics.
Volume (Year): 94 (2010)
Issue (Month): 11-12 (December)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/505578
Discrete public good Subscription game Threshold uncertainty;
Other versions of this item:
- Stefano Barbieri & David A. Malueg, 2009. "Threshold Uncertainty in the Private-Information Subscription Game," Working Papers 0903, Tulane University, Department of Economics.
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- Bengt Holmstrom & Roger B. Myerson, 1981.
"Efficient and Durable Decision Rules with Incomplete Information,"
495, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-819, November.
- Martimort, David & Moreira, Humberto, 2010.
"Common agency and public good provision under asymmetric information,"
Econometric Society, vol. 5(2), May.
- Martimort, David & Moreira, Humberto, 2010. "Common Agency and Public Good Provision under Asymmetric Information," Open Access publications from University of Toulouse 1 Capitole http://neeo.univ-tlse1.fr, University of Toulouse 1 Capitole.
- 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.
- Roger Hartley & Richard Cornes, 2003.
"Aggregative Public Good Games,"
Keele Economics Research Papers
KERP 2003/05, Centre for Economic Research, Keele University.
- Alberto Alesina & Eliana La Ferrara, 2000.
"Participation In Heterogeneous Communities,"
The Quarterly Journal of Economics,
MIT Press, vol. 115(3), pages 847-904, August.
- Alberto Alesina & Eliana La Ferrara, 1999. "Participation in Heterogeneous Communities," NBER Working Papers 7155, National Bureau of Economic Research, Inc.
- Alberto Alesina & Eliana La Ferrara, . "Participation in Heterogeneous Communities," Working Papers 151, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- McBride, Michael, 2006. "Discrete public goods under threshold uncertainty," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1181-1199, August.
- 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.
- Dirk Alboth & Anat Lerner & Jonathan Shalev, 1997. "Profit Maximizing in Auctions of Public Goods," Game Theory and Information 9707010, EconWPA, revised 01 Apr 1998.
- ALBOTH, Dirk & LERNER, Anat & SHALEV, Jonathan, 1998. "Profit maximizing in auctions of public goods," CORE Discussion Papers 1998017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Athey, S., 1997.
"Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information,"
97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- 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.
- Ledyard, John & Palfrey, Thomas, 2003. "A general characterization of interim efficient mechanisms for independent linear environments," Working Papers 1186, California Institute of Technology, Division of the Humanities and Social Sciences.
- 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.
- 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.
- 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.
- Potters, J.J.M. & Sloof, R., 1996. "Interest groups: A survey of empirical models that try to assess their influence," Open Access publications from Tilburg University urn:nbn:nl:ui:12-73373, Tilburg University.
- 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.
- Alesina, Alberto & La Ferrara, Eliana, 2005. "Ethnic Diversity and Economic Performance," Scholarly Articles 4553005, Harvard University Department of Economics.
- Admati, Anat R & Perry, Motty, 1991. "Joint Projects without Commitment," Review of Economic Studies, Wiley Blackwell, vol. 58(2), pages 259-76, April.
- 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.
- La Ferrara, Eliana & Alesina, Alberto, 2000. "Participation in Heterogeneous Communities," Scholarly Articles 4551796, Harvard University Department of Economics.
- 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.
- Matros, Alexander & Smirnov, Vladimir, 2011. "Treasure game," Working Papers 2011-10, University of Sydney, School of Economics.
- Zhi Li & Christopher Anderson & Stephen K. Swallow, 2012. "Uniform Price Mechanisms for Threshold Public Goods Provision: An Experimental Investigation," Working Papers 14, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
- Stefano Barbieri & David A. Malueg, 2010. "Increasing Fundraising Success by Decreasing Donor Choice," Working Papers 1006, Tulane University, Department of Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.