Game Theory Without Partitions, and Applications to Speculation and Consensus
AbstractDecision theory and game theory are extended to allow for information processing errors. This extended theory is then used to reexamine market speculation and consensus, both when all actions (opinions) are common knowledge and when they may not be. Five axioms of information processing are shown to be especially important to speculation and consensus. They are called nondelusion, knowing that you know, nested, balanced, and positively balanced. We show that it is necessary and sufficient that each agent's information processing errors be nondeluded and (1) balanced so that the agents cannot agree to disagree, (2) positively balanced so that it cannot be common knowledge that they are speculating, and (3) KTYK and nested so that agents cannot speculate in equilibrium. Each condition is strictly weaker than the next one, and the last is strictly weaker than partition information.
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 Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 914.
Length: 33 pages
Date of creation: May 1989
Date of revision:
Contact details of provider:
Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
More information through EDIRC
Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
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.:
- Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
- Dubey, Pradeep & Geanakoplos, John & Shubik, Martin, 1987. "The revelation of information in strategic market games : A critique of rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 105-137, April.
- Aviad Heifetz & Martin Meier & Burkhard C. Schipper, 2009.
"Unawareness, Beliefs and Speculative Trade,"
920, University of California, Davis, Department of Economics.
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2009. "Unawareness, Beliefs and Speculative Trade," MPRA Paper 18437, University Library of Munich, Germany.
- Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Unawareness, Beliefs, and Speculative Trade," Working Papers 118, University of California, Davis, Department of Economics.
- Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: A General Model," Working Papers of BETA 2002-01, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
- Kawamura, Enrique, 2004.
"Investors's distrust and the marketing of new financial assets,"
The Quarterly Review of Economics and Finance,
Elsevier, vol. 44(2), pages 265-295, May.
- Enrique L. Kawamura, 2000. "Investor´s Distrust and the Marketing of New Financial Assets," Working Papers 23, Universidad de San Andres, Departamento de Economia, revised Apr 2004.
- Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March.
- Marco Scarsini & Yossi Feinberg, 2003. "Rate of Arbitrage and Reconciled Beliefs," Economics Bulletin, AccessEcon, vol. 4(11), pages 1-12.
- Robert E. Marks, .
"Evolved Perception and Behaviour in Oligopolies,"
Computing in Economics and Finance 1996
_038, Society for Computational Economics.
- Gossner, Olivier & Tsakas, Elias, 2007. "Testing Rationality on Primitive Knowledge," Working Papers in Economics 275, University of Gothenburg, Department of Economics.
- Tsakas, Elias & Voorneveld, Mark, 2011. "On consensus through communication without a commonly known protocol," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 733-739.
- Luo, Xiao & Ma, Chenghu, 2003. ""Agreeing to disagree" type results: a decision-theoretic approach," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 849-861, November.
- Blume, Andreas & Gneezy, Uri, 2010.
"Cognitive forward induction and coordination without common knowledge: An experimental study,"
Games and Economic Behavior,
Elsevier, vol. 68(2), pages 488-511, March.
- Andreas Blume & Uri Gneezy, 2009. "Cognitive Forward Induction and Coordination without Common Knowledge: An Experimental Study," Working Papers 346, University of Pittsburgh, Department of Economics, revised May 2009.
- Gossner Olivier & Tsakas Elias, 2010. "A reasoning approach to introspection and unawareness," Research Memorandum 006, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Dekel, Eddie & Lipman, Barton L. & Rustichini, Aldo, 1998. "Recent developments in modeling unforeseen contingencies," European Economic Review, Elsevier, vol. 42(3-5), pages 523-542, May.
- repec:ebl:ecbull:v:4:y:2003:i:11:p:1-12 is not listed on IDEAS
- Jihong Lee, 2007.
"Unforeseen Contingency and Renegotiation with Asymmetric Information,"
Birkbeck Working Papers in Economics and Finance
0717, Birkbeck, Department of Economics, Mathematics & Statistics.
- Jihong Lee, 2008. "Unforeseen Contingency and Renegotiation with Asymmetric Information," Economic Journal, Royal Economic Society, vol. 118(528), pages 678-694, 04.
- John Geanakoplos, 1993. "Common Knowledge," Cowles Foundation Discussion Papers 1062, Cowles Foundation for Research in Economics, Yale University.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Glena Ames).
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.