Efficient communication, common knowledge, and consensus
AbstractWe study a model of pairwise communication in a finite population of Bayesian agents. We show that, in contrast with claims to the contrary in the existing literature, communication under a fair protocol may not lead to common knowledge of signals. We prove that commonly known signals are achieved if the individuals convey, in addition to their own message, the information about every individual’s most recent signal they are aware of. If the signal is a posterior probability about some event, common knowledge implies consensus.
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.
Bibliographic InfoPaper provided by University of Gothenburg, Department of Economics in its series Working Papers in Economics with number 255.
Length: 15 pages
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
Private information; communication; common knowledge; consensus;
Find related papers by JEL classification:
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
This paper has been announced in the following NEP Reports:
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.:
- Samet, Dov, 2010.
"Agreeing to disagree: The non-probabilistic case,"
Games and Economic Behavior,
Elsevier, vol. 69(1), pages 169-174, May.
- Koessler, Frederic, 2001.
"Common knowledge and consensus with noisy communication,"
Mathematical Social Sciences,
Elsevier, vol. 42(2), pages 139-159, September.
- Frederic Koessler, 2000. "Common Knowledge and Consensus with Noisy Communication," Econometric Society World Congress 2000 Contributed Papers 0887, Econometric Society.
- Frédéric Koessler, 2000. "Common knowledge and consensus with noisy communication," Working Papers of BETA 2000-05, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Brandenburger, Adam & Dekel, Eddie, 1987. "Common knowledge with probability 1," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 237-245, June.
- Robert J. Aumann & Sergiu Hart & Motty Perry, 2005.
"Conditioning and the Sure-Thing Principle,"
784828000000000193, UCLA Department of Economics.
- Heifetz, Aviad, 1996. "Comment on Consensus without Common Knowledge," Journal of Economic Theory, Elsevier, vol. 70(1), pages 273-277, July.
- Krasucki, Paul, 1996. "Protocols Forcing Consensus," Journal of Economic Theory, Elsevier, vol. 70(1), pages 266-272, July.
- Nielsen, Lars Tyge, 1984. "Common knowledge, communication, and convergence of beliefs," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 1-14, August.
- Parikh, Rohit & Krasucki, Paul, 1990. "Communication, consensus, and knowledge," Journal of Economic Theory, Elsevier, vol. 52(1), pages 178-189, October.
- Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
- Milgrom, Paul, 1981.
"An Axiomatic Characterization of Common Knowledge,"
Econometric Society, vol. 49(1), pages 219-22, January.
- John Geanakoplos & Heracles M. Polemarchakis, 1982. "We Can't Disagree Forever," Cowles Foundation Discussion Papers 639, Cowles Foundation for Research in Economics, Yale University.
- Shin Hyun Song, 1993. "Logical Structure of Common Knowledge," Journal of Economic Theory, Elsevier, vol. 60(1), pages 1-13, June.
- McKelvey, Richard D & Page, Talbot, 1986. "Common Knowledge, Consensus, and Aggregate Information," Econometrica, Econometric Society, vol. 54(1), pages 109-27, January.
- D. Samet, 1987.
"Ignoring Ignorance and Agreeing to Disagree,"
749, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- 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.
- Geanakoplos, John D. & Polemarchakis, Heraklis M., 1982. "We can't disagree forever," Journal of Economic Theory, Elsevier, vol. 28(1), pages 192-200, October.
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.