Interactive Epistemology and Solution Concepts for Games with Asymmetric Information
We use an interactive epistemology framework to provide a systematic analysis of some solution concepts for games with asymmetric information. We characterize solution concepts using expressible epistemic assumptions, represented as events in the canonical space generated by primitive uncertainty about the payoff relevant state, payoff irrelevant information, and actions. In most of the paper, we adopt an interim perspective, which is appropriate to analyze genuine incomplete information. We relate Delta-rationalizability (Battigalli and Siniscalchi, Advances in Theoretical Economics 3, 2003) to interim correlated rationalizability (Dekel, Fudenberg and Morris, Theoretical Economics 2, 2007) and to rationalizability in the interim strategic form. We also consider the ex ante perspective, which is appropriate to analyze asymmetric information about an initial chance move. We prove the equivalence between interim correlated rationalizability and an ex ante notion of correlated rationalizability.
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Volume (Year): 11 (2011)
Issue (Month): 1 (March)
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- Dekel, Eddie & Fudenberg, Drew & Morris, Stephen, 2006.
"Topologies on Types,"
3160489, Harvard University Department of Economics.
- Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005. "Topologies on Types," Harvard Institute of Economic Research Working Papers 2093, Harvard - Institute of Economic Research.
- Eddie Dekel & Drew Fudenberg, 2006. "Topologies on Type," Discussion Papers 1417, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005. "Topologies on Types," Levine's Bibliography 784828000000000061, UCLA Department of Economics.
- Klemperer, Paul, 1998. "Auctions with almost common values: The 'Wallet Game' and its applications," European Economic Review, Elsevier, vol. 42(3-5), pages 757-769, May.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 2007. "Interactive epistemology in games with payoff uncertainty," Research in Economics, Elsevier, vol. 61(4), pages 165-184, December.
- Jeffrey C. Ely & Marcin Peski, 2005.
"Hierarchies of Belief and Interim Rationalizability,"
122247000000000817, UCLA Department of Economics.
- Ely, Jeffrey C. & Peski, Marcin, 2006. "Hierarchies of belief and interim rationalizability," Theoretical Economics, Econometric Society, vol. 1(1), pages 19-65, March.
- Jeffrey C. Ely & Marcin Peski, . "Hierarchies Of Belief And Interim Rationalizability," Discussion Papers 1388, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- John C Harsanyi, 1997. "Games with incomplete information played by "bayesian" players," Levine's Working Paper Archive 1175, David K. Levine.
- Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988.
"The Bayesian foundations of solution concepts of games,"
Journal of Economic Theory,
Elsevier, vol. 45(2), pages 370-391, August.
- Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of solution concepts of games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Stephen Morris & Hyun Song Shin, 2007.
"Common Belief Foundations of Global Games,"
122247000000001638, UCLA Department of Economics.
- Dirk Bergemann & Stephen Morris, 2005.
"Robust Implementation: The Role of Large Type Spaces,"
784828000000000116, UCLA Department of Economics.
- Dirk Bergemann & Stephen Morris, 2005. "Robust Implementation: The Role of Large Type Spaces," Cowles Foundation Discussion Papers 1519, Cowles Foundation for Research in Economics, Yale University.
- Dirk Bergemann & Stephen Morris, 2007.
"Belief Free Incomplete Information Games,"
122247000000001569, UCLA Department of Economics.
- Carlsson, Hans & van Damme, Eric, 1993.
"Global Games and Equilibrium Selection,"
Econometric Society, vol. 61(5), pages 989-1018, September.
- Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
- Carlsson, H. & Van Damme, E., 1990. "Global Games And Equilibrium Selection," Papers 9052, Tilburg - Center for Economic Research.
- Carlsson, H. & van Damme, E.E.C., 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
- Carlsson, H. & van Damme, E.E.C., 1993. "Global games and equilibrium selection," Other publications TiSEM 49a54f00-dcec-4fc1-9488-4, Tilburg University, School of Economics and Management.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
- P. Battigalli & M. Siniscalchi, 2002.
"Rationalization and Incomplete Information,"
Princeton Economic Theory Working Papers
9817a118e65062903de7c3577, David K. Levine.
- Aviad Heifetz & Dov Samet, 1996.
"Topology-Free Typology of Beliefs,"
Game Theory and Information
9609002, EconWPA, revised 17 Sep 1996.
- Martin J. Osborne & Ariel Rubinstein, 1994.
"A Course in Game Theory,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262650401, March.
- Eddie Dekel & Drew Fudenberg & Stephen Morris, 2006.
"Interim Correlated Rationalizability,"
122247000000001188, UCLA Department of Economics.
- Adam Brandenburger & Eddie Dekel, 2014.
"Rationalizability and Correlated Equilibria,"
World Scientific Book Chapters,
in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 3, pages 43-57
World Scientific Publishing Co. Pte. Ltd..
- Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
- Battigalli, Pierpaolo, 2003. "Rationalizability in infinite, dynamic games with incomplete information," Research in Economics, Elsevier, vol. 57(1), pages 1-38, March.
- Ronald Fagin & Joseph Y. Halpern & Yoram Moses & Moshe Y. Vardi, 2003. "Reasoning About Knowledge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262562006, March.
- 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.
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