Aggregate information, common knowledge, and agreeing not to bet
I consider a gamble where the sum of the distributed payoffs is proportionate to the number of participants. I show that no subset of the population can agree to participate in the bet, if the size of the group is commonly known. Repeated announcements of the number of the participants leads the population to agree not to bet.
|Date of creation:||18 Jun 2007|
|Date of revision:|
|Contact details of provider:|| Postal: Department of Economics, School of Business, Economics and Law, University of Gothenburg, Box 640, SE 405 30 GÖTEBORG, Sweden|
Phone: 031-773 10 00
Web page: http://www.handels.gu.se/econ/
More information through EDIRC
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.:
- Paul Milgrom, 1979.
"An Axiomatic Characterization of Common Knowledge,"
393R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Robin Hanson, 1998. "Consensus By Identifying Extremists," Theory and Decision, Springer, vol. 44(3), pages 293-301, June.
- Lars Tyge Nielsen, 1990.
"Common Knowledge of a Multivariate Aggregate Statistic,"
CEPR Financial Markets Paper
0003, European Science Foundation Network in Financial Markets, c/o C.E.P.R, 77 Bastwick Street, London EC1V 3PZ..
- Nielsen, Lars Tyge, 1995. "Common Knowledge of a Multivariate Aggregate Statistic," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(1), pages 207-16, February.
- Brandenburger, Adam & Dekel, Eddie, 1987. "Common knowledge with probability 1," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 237-245, June.
- Geanakoplos, John D. & Polemarchakis, Heraklis M., 1982.
"We can't disagree forever,"
Journal of Economic Theory,
Elsevier, vol. 28(1), pages 192-200, October.
- McKelvey, Richard D & Page, Talbot, 1986. "Common Knowledge, Consensus, and Aggregate Information," Econometrica, Econometric Society, vol. 54(1), pages 109-27, January.
- Hanson, Robin, 2002. "Disagreement is unpredictable," Economics Letters, Elsevier, vol. 77(3), pages 365-369, November.
- Nielsen, Lars Tyge, 1984. "Common knowledge, communication, and convergence of beliefs," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 1-14, August.
- Rubinstein, Ariel & Wolinsky, Asher, 1990. "On the logic of "agreeing to disagree" type results," Journal of Economic Theory, Elsevier, vol. 51(1), pages 184-193, June.
- Nielsen, Lars Tyge, et al, 1990. "Common Knowledge of an Aggregate of Expectations," Econometrica, Econometric Society, vol. 58(5), pages 1235-39, September.
- Samet, Dov, 1990.
"Ignoring ignorance and agreeing to disagree,"
Journal of Economic Theory,
Elsevier, vol. 52(1), pages 190-207, October.
When requesting a correction, please mention this item's handle: RePEc:hhs:gunwpe:0254. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marie Andersson)
If references are entirely missing, you can add them using this form.