On the Structure of Rationalizability for Arbitrary Spaces of Uncertainty
This note characterizes the set A¡∞ of actions of player ¡ that are uniquely rationalizable for some hierarchy of beliefs on an arbitrary space of uncertainty. It is proved that for any rationalizable action a¡ for the type t¡, if a¡ belongs to A¡∞ and is justified by conjectures concentrated on A-¡∞, then there exists a sequence of types converging to t¡ for which a¡ is uniquely rationalizable.
|Date of creation:||01 Oct 2008|
|Date of revision:||05 Jun 2008|
|Contact details of provider:|| Postal: 3718 Locust Walk, Philadelphia, PA 19104|
Web page: http://economics.sas.upenn.edu/pier
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.:
- Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003.
"Equilibrium selection in global games with strategic complementarities,"
Journal of Economic Theory,
Elsevier, vol. 108(1), pages 1-44, January.
- David M. Frankel & Stephen Morris & Ady Pauzner, 2000. "Equilibrium Selection in Global Games with Strategic Complementarities," Econometric Society World Congress 2000 Contributed Papers 1490, Econometric Society.
- David M. Frankel & Stephen Morris & Ady Pauzner, 2001. "Equilibrium Selection in Global Games with Strategic Complementarities," Cowles Foundation Discussion Papers 1336, Cowles Foundation for Research in Economics, Yale University.
- Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium Selection in Global Games with Strategic Complementarities," Staff General Research Papers Archive 11920, Iowa State University, Department of Economics.
- Ely, Jeffrey C. & Peski, Marcin, 2006.
"Hierarchies of belief and interim rationalizability,"
Econometric Society, vol. 1(1), pages 19-65, March.
- Jeffrey C. Ely & Marcin Peski, 2005. "Hierarchies of Belief and Interim Rationalizability," Levine's Bibliography 122247000000000817, UCLA Department of Economics.
- Jeffrey C. Ely & Marcin Peski, "undated". "Hierarchies Of Belief And Interim Rationalizability," Discussion Papers 1388, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Antonio Penta, 2012. "Higher Order Uncertainty and Information: Static and Dynamic Games," Econometrica, Econometric Society, vol. 80(2), pages 631-660, 03.
- Battigalli Pierpaolo & Di Tillio Alfredo & Grillo Edoardo & Penta Antonio, 2011.
"Interactive Epistemology and Solution Concepts for Games with Asymmetric Information,"
The B.E. Journal of Theoretical Economics,
De Gruyter, vol. 11(1), pages 1-40, March.
- Pierpaolo Battigalli & Alfredo Di Tillio & Edoardo Grillo & Antonio Penta, 2008. "Interactive Epistemology and Solution Concepts for Games with Asymmetric Information," Working Papers 340, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, 03.
- D. B. Bernheim, 2010.
"Rationalizable Strategic Behavior,"
Levine's Working Paper Archive
661465000000000381, David K. Levine.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
- Morris, Stephen & Dekel, Eddie & Fudenberg, Drew, 2007.
"Interim Correlated Rationalizability,"
3196333, Harvard University Department of Economics.
- Bergemann, Dirk & Stephen Morris, 2006.
"Robust Implementation in Direct Mechanisms,"
Cowles Foundation Discussion Papers
1561R2, Cowles Foundation for Research in Economics, Yale University, revised Jan 2009.
- Weinstein, Jonathan & Yildiz, Muhamet, 2011. "Sensitivity of equilibrium behavior to higher-order beliefs in nice games," Games and Economic Behavior, Elsevier, vol. 72(1), pages 288-300, May.
- Chen, Yi-Chun, 2012. "A structure theorem for rationalizability in the normal form of dynamic games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 587-597.
When requesting a correction, please mention this item's handle: RePEc:pen:papers:09-021. 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: (Dolly Guarini)
If references are entirely missing, you can add them using this form.