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Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games Author info | Abstract | Publisher info | Download info | Related research | Statistics Pierpaolo Battigalli
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We show how to extend the construction of infinite hierachies of beliefs (Mertens and Zamir (1985), Brandenburger and Dekel (1993)) from the case of probability measures to the case of conditional probability systems (CPSs) defined with respect to a fixed collection of relevant hypotheses. The set of hierarchies of CPSs satisfying common certainty of coherency conditional on every relevant hypothesis corresponds to a universal type space. This construction provides a unified framework to analyze the epistemic foundations of solution concepts for dynamic games. As an illustration, we derive some results about conditional common certainty of rationality and rationalizability in multistage games with observed actions.
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Paper provided by IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University in its series Working Papers with number
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References listed on IDEAS 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.: Battigalli, Pierpaolo, 1996.
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Battigalli, Pierpaolo, 1997.
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references Cited by : (explanations , 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.)
Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2009.
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Perea,Andrés, 2004.
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Jeffrey C. Ely & Marcin Peski, 2005.
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Levine's Bibliography
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[Downloadable!]
Other versions:
Jeffrey C. Ely & Marcin Peski, .
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Discussion Papers
1388, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!] Ely, Jeffrey C. & Peski, Marcin, 2006.
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244, University of Pittsburgh, Department of Economics, revised Jan 2002.
[Downloadable!]
Other versions: Amanda Friedenberg, 2006.
"Can Hidden Variables Explain Correlation? (joint with Adam Brandenburger) ,"
Theory workshop papers
815595000000000005, UCLA Department of Economics.
[Downloadable!]
Pierpaolo Battigalli & Marciano Siniscalchi, .
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Working Papers
1999.25, Fondazione Eni Enrico Mattei.
[Downloadable!]
Other versions: Vittorio Pelligra, 2007.
"Intentions, Trust and Frames: A note on Sociality and the Theory of Games ,"
Working Paper CRENoS
200702, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
[Downloadable!]
repec:bep:theadv:v:3:y:2003:i:1:p:1073-1073 is not listed on IDEAS
Oliver Board, 2002.
"Dynamic Interactive Epistemology ,"
Economics Series Working Papers
125, University of Oxford, Department of Economics.
[Downloadable!]
Other versions: P. Battigalli & M. Siniscalchi, 2002.
"Rationalization and Incomplete Information ,"
Princeton Economic Theory Working Papers
9817a118e65062903de7c3577, David K. Levine.
[Downloadable!]
Andrés Perea, 2006.
"Proper belief revision and rationalizability in dynamic games ,"
International Journal of Game Theory ,
Springer, vol. 34(4), pages 529-559, November.
[Downloadable!] (restricted)
Pierpaolo Battigalli & Martin Dufwenberg, 2005.
"Dynamic Psychological Games ,"
Working Papers
287, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
[Downloadable!]
Other versions:
Pierpaolo Battigalli & Martin Dufwenberg, 2005.
"Dynamic Psychological Games ,"
Levine's Bibliography
784828000000000046, UCLA Department of Economics.
[Downloadable!] Battigalli, Pierpaolo & Dufwenberg, Martin, 2009.
"Dynamic psychological games ,"
Journal of Economic Theory ,
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"On the epistemic foundation for backward induction ,"
Memorandum
30/1999, Oslo University, Department of Economics.
[Downloadable!]
Other versions: Pierpaolo Battigalli, 2004.
"Rationalization in Signaling Games: Theory and Applications ,"
Working Papers
275, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
[Downloadable!]
Other versions: Perea,Andrés, 2003.
"Proper Rationalizability and Belief Revision in Dynamic Games ,"
Research Memoranda
048, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
[Downloadable!]
Penta, Antonio, 2004.
"Perfect Sequential Reciprocity and Dynamic Consistency ,"
MPRA Paper
10261, University Library of Munich, Germany, revised Sep 2007.
[Downloadable!]
Adam Brandenburger, 2007.
"The power of paradox: some recent developments in interactive epistemology ,"
International Journal of Game Theory ,
Springer, vol. 35(4), pages 465-492, April.
[Downloadable!] (restricted)
Muhamet Yildiz & Jonathan Weinsten, 2004.
"Impact of higher-order uncertainty ,"
Econometric Society 2004 North American Winter Meetings
157, Econometric Society.
[Downloadable!]
Other versions: Mario Gilli, 2002.
"Iterated Admissibility as Solution Concept in Game Theory ,"
Working Papers
47, University of Milano-Bicocca, Department of Economics, revised Mar 2002.
[Downloadable!]
Eddie Dekel & Drew Fudenberg & Stephen Morris, 2006.
"Interim Correlated Rationalizability ,"
Levine's Bibliography
122247000000001188, UCLA Department of Economics.
[Downloadable!]
Other versions: Licun Xue, .
"A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability ,"
Economics Working Papers
2000-4, School of Economics and Management, University of Aarhus.
[Downloadable!]
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