Rationalizability and epistemic priority orderings
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DOI: 10.1016/j.geb.2018.12.004
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- Battigalli, Pierpaolo, 1996. "Strategic Rationality Orderings and the Best Rationalization Principle," Games and Economic Behavior, Elsevier, vol. 13(2), pages 178-200, April.
- Kreps, David M & Wilson, Robert, 1982.
"Sequential Equilibria,"
Econometrica, Econometric Society, vol. 50(4), pages 863-894, July.
- David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
- David M Kreps & Robert Wilson, 2003. "Sequential Equilibria," Levine's Working Paper Archive 618897000000000813, David K. Levine.
- , & ,, 2012. "Forward induction reasoning revisited," Theoretical Economics, Econometric Society, vol. 7(1), January.
- Friedenberg, Amanda, 2010. "When do type structures contain all hierarchies of beliefs?," Games and Economic Behavior, Elsevier, vol. 68(1), pages 108-129, January.
- Fudenberg, Drew & Levine, David K, 1993.
"Self-Confirming Equilibrium,"
Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
- Fudenberg, D. & Levine, D.K., 1991. "Self-Confirming Equilibrium ," Working papers 581, Massachusetts Institute of Technology (MIT), Department of Economics.
- Drew Fudenberg & David K. Levine, 1993. "Self-Confirming Equilibrium," Levine's Working Paper Archive 2147, David K. Levine.
- Aumann, Robert J, 1987.
"Correlated Equilibrium as an Expression of Bayesian Rationality,"
Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
- Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
- R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
- Battigalli Pierpaolo & Siniscalchi Marciano, 2003.
"Rationalization and Incomplete Information,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-46, June.
- P. Battigalli & M. Siniscalchi, 2002. "Rationalization and Incomplete Information," Princeton Economic Theory Working Papers 9817a118e65062903de7c3577, David K. Levine.
- Osborne, Martin J., 1990. "Signaling, forward induction, and stability in finitely repeated games," Journal of Economic Theory, Elsevier, vol. 50(1), pages 22-36, February.
- Srihari Govindan & Robert Wilson, 2009.
"On Forward Induction,"
Econometrica, Econometric Society, vol. 77(1), pages 1-28, January.
- Srihari Govindan & Robert Wilson, 2006. "On Forward Induction," Levine's Working Paper Archive 321307000000000618, David K. Levine.
- Srihari Govindan & Robert Wilson, 2008. "On Forward Induction," Levine's Working Paper Archive 122247000000001859, David K. Levine.
- Wilson, Robert B. & Govindan, Srihari, 2007. "On Forward Induction," Research Papers 1955, Stanford University, Graduate School of Business.
- Srihari Govindan & Robert Wilson, 2007. "On Forward Induction," Levine's Bibliography 321307000000000788, UCLA Department of Economics.
- Srihari Govindan & Robert Wilson, 2007. "'On Forward Induction," Levine's Working Paper Archive 321307000000000825, David K. Levine.
- Lawrence Blume & Adam Brandenburger & Eddie Dekel, 2014.
"Lexicographic Probabilities and Choice Under Uncertainty,"
World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 6, pages 137-160,
World Scientific Publishing Co. Pte. Ltd..
- Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January.
- Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
- Battigalli Pierpaolo & Prestipino Andrea, 2013.
"Transparent Restrictions on Beliefs and Forward-Induction Reasoning in Games with Asymmetric Information,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 13(1), pages 79-130, May.
- Pierpaolo Battigalli & Andrea Prestipino, 2011. "Transparent Restrictions on Beliefs and Forward Induction Reasoning in Games with Asymmetric Information," Working Papers 376, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- In-Koo Cho & David M. Kreps, 1987.
"Signaling Games and Stable Equilibria,"
The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
- In-Koo Cho & David M. Kreps, 1997. "Signaling Games and Stable Equilibria," Levine's Working Paper Archive 896, David K. Levine.
- Man, Priscilla T.Y., 2012. "Forward induction equilibrium," Games and Economic Behavior, Elsevier, vol. 75(1), pages 265-276.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Interactive beliefs, epistemic independence and strong rationalizability," Research in Economics, Elsevier, vol. 53(3), pages 247-273, September.
- Banks, Jeffrey S & Sobel, Joel, 1987.
"Equilibrium Selection in Signaling Games,"
Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
- Banks, Jeffrey S. & Sobel, Joel., 1985. "Equilibrium Selection in Signaling Games," Working Papers 565, California Institute of Technology, Division of the Humanities and Social Sciences.
- , & ,, 2013. "The order independence of iterated dominance in extensive games," Theoretical Economics, Econometric Society, vol. 8(1), January.
- Kohlberg, Elon & Mertens, Jean-Francois, 1986.
"On the Strategic Stability of Equilibria,"
Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
- KOHLBERG, Elon & MERTENS, Jean-François, 1986. "On the strategic stability of equilibria," LIDAM Reprints CORE 716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
- Perea, Andrés, 2017. "Forward induction reasoning and correct beliefs," Journal of Economic Theory, Elsevier, vol. 169(C), pages 489-516.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999.
"Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games,"
Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
- Pierpaolo Battigalli, "undated". "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Working Papers 111, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Perea, Andrés, 2018. "Why forward induction leads to the backward induction outcome: A new proof for Battigalli's theorem," Games and Economic Behavior, Elsevier, vol. 110(C), pages 120-138.
- Adam Brandenburger & Amanda Friedenberg, 2014.
"Intrinsic Correlation in Games,"
World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 4, pages 59-111,
World Scientific Publishing Co. Pte. Ltd..
- Brandenburger, Adam & Friedenberg, Amanda, 2008. "Intrinsic correlation in games," Journal of Economic Theory, Elsevier, vol. 141(1), pages 28-67, July.
- Martin J. Osborne & Ariel Rubinstein, 1994.
"A Course in Game Theory,"
MIT Press Books,
The MIT Press,
edition 1, volume 1, number 0262650401, December.
- Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
- Battigalli, Pierpaolo, 2003. "Rationalizability in infinite, dynamic games with incomplete information," Research in Economics, Elsevier, vol. 57(1), pages 1-38, March.
- Kin Chung Lo, 1999.
"Nash equilibrium without mutual knowledge of rationality,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 621-633.
- Kin Chung Lo, 1995. "Nash Equilibrium without Mutual Knowledge of Rationality," Working Papers ecpap-95-04, University of Toronto, Department of Economics.
- Sobel, Joel & Stole, Lars & Zapater, Inigo, 1990. "Fixed-equilibrium rationalizability in signaling games," Journal of Economic Theory, Elsevier, vol. 52(2), pages 304-331, December.
- Shimoji, Makoto, 2004. "On the equivalence of weak dominance and sequential best response," Games and Economic Behavior, Elsevier, vol. 48(2), pages 385-402, August.
- Aviad Heifetz & Andrés Perea, 2015. "On the outcome equivalence of backward induction and extensive form rationalizability," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 37-59, February.
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Cited by:
- Pierpaolo Battigalli & Pietro Tebaldi, 2019.
"Interactive epistemology in simple dynamic games with a continuum of strategies,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(3), pages 737-763, October.
- Pierpaolo Battigalli & Gabriele Beneduci & Pietro Tebaldi, 2017. "Interactive Epistemology in Simple Dynamic Games with a Continuum of Strategies," Working Papers 602, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Manili, Julien, 2024. "Order independence for rationalizability," Games and Economic Behavior, Elsevier, vol. 143(C), pages 152-160.
- Catonini, Emiliano, 2020. "On non-monotonic strategic reasoning," Games and Economic Behavior, Elsevier, vol. 120(C), pages 209-224.
- Evan Piermont & Peio Zuazo-Garin, 2021. "Heterogeneously Perceived Incentives in Dynamic Environments: Rationalization, Robustness and Unique Selections," Papers 2105.06772, arXiv.org.
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More about this item
Keywords
Forward induction; Strong belief; Strong rationalizability; Strong-Δ-rationalizability; Strategic stability;All these keywords.
JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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