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.
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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:
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
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- 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.
- Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
- 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.
- 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.
- Andreas Blume & Uri Gneezy, 2009.
"Cognitive Forward Induction and Coordination without Common Knowledge: An Experimental Study,"
346, University of Pittsburgh, Department of Economics, revised May 2009.
- 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.
- 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).
- Robin Hanson, 2003. "For Bayesian Wannabes, Are Disagreements Not About Information?," Theory and Decision, Springer, vol. 54(2), pages 105-123, March.
- Robert E. Marks, .
"Evolved Perception and Behaviour in Oligopolies,"
Computing in Economics and Finance 1996
_038, Society for Computational Economics.
- Enrique L. Kawamura, 2000.
"Investor´s Distrust and the Marketing of New Financial Assets,"
23, Universidad de San Andres, Departamento de Economia, revised Apr 2004.
- 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.
- Marco Scarsini & Yossi Feinberg, 2003. "Rate of Arbitrage and Reconciled Beliefs," Economics Bulletin, AccessEcon, vol. 4(11), pages 1-12.
- Gossner, Olivier & Tsakas, Elias, 2007. "Testing Rationality on Primitive Knowledge," Working Papers in Economics 275, University of Gothenburg, Department of Economics.
- 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.
- 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.
- John Geanakoplos, 1993. "Common Knowledge," Cowles Foundation Discussion Papers 1062, Cowles Foundation for Research in Economics, Yale University.
- 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.
- Aviad Heifetz & Martin Meier & Burkhard C. Schipper, 2009.
"Unawareness, Beliefs and Speculative Trade,"
920, University of California, Davis, Department of Economics.
- Aviad Heifetz & Martin Meier & Burkhard Schipper, 2011. "Unawareness, Beliefs, and Speculative Trade," Working Papers 118, 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.
- repec:ebl:ecbull:v:4:y:2003:i:11:p:1-12 is not listed on IDEAS
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