Doxastic Conditions for Backward Induction
Author
Abstract
Suggested Citation
DOI: 10.1023/B:THEO.0000004258.22525.f4
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Stalnaker, Robert, 1996. "Knowledge, Belief and Counterfactual Reasoning in Games," Economics and Philosophy, Cambridge University Press, vol. 12(2), pages 133-163, October.
- Joseph Y. Halpern, 1999. "Hypothetical knowledge and counterfactual reasoning," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 315-330.
- Rabinowicz, Wlodek, 1998. "Grappling With the Centipede: Defence of Backward Induction for BI-Terminating Games," Economics and Philosophy, Cambridge University Press, vol. 14(1), pages 95-126, April.
- Robert Aumann & Adam Brandenburger, 2014.
"Epistemic Conditions for Nash Equilibrium,"
World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136,
World Scientific Publishing Co. Pte. Ltd..
- Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-1180, September.
- Bonanno, Giacomo, 1991.
"The Logic of Rational Play in Games of Perfect Information,"
Economics and Philosophy, Cambridge University Press, vol. 7(1), pages 37-65, April.
- Bonanno, G., 1989. "The Logic Of Rational Play In Games Of Perfect Information," Papers 347, California Davis - Institute of Governmental Affairs.
- Samet, Dov, 1996.
"Hypothetical Knowledge and Games with Perfect Information,"
Games and Economic Behavior, Elsevier, vol. 17(2), pages 230-251, December.
- Dov Samet, 1994. "Hypothetical Knowledge and Games with Perfect Information," Game Theory and Information 9408001, University Library of Munich, Germany, revised 17 Aug 1994.
- Aumann, Robert J., 1995. "Backward induction and common knowledge of rationality," Games and Economic Behavior, Elsevier, vol. 8(1), pages 6-19.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Giacomo Bonanno, 2012.
"Epistemic foundations of game theory,"
Working Papers
70, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Epistemic foundations of game theory," Working Papers 123, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Epistemic foundations of game theory," Working Papers 106, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2011.
"Reasoning about strategies and rational play in dynamic games,"
Working Papers
9, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 184, University of California, Davis, Department of Economics.
- Bonanno, Giacomo, 2013.
"A dynamic epistemic characterization of backward induction without counterfactuals,"
Games and Economic Behavior, Elsevier, vol. 78(C), pages 31-43.
- Giacomo Bonanno, 2012. "A dynamic epistemic characterization of backward induction without counterfactuals," Working Papers 10, University of California, Davis, Department of Economics.
- Perea ý Monsuwé, A., 2006. "Epistemic foundations for backward induction: an overview," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Graciela Kuechle, 2009. "What Happened To The Three‐Legged Centipede Game?," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 562-585, July.
- Giacomo Bonanno, 2011.
"Reasoning about strategies and rational play in dynamic games,"
Working Papers
1111, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 149, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2018. "Behavior and deliberation in perfect-information games: Nash equilibrium and backward induction," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 1001-1032, September.
- Perea, Andrés, 2008. "Minimal belief revision leads to backward induction," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 1-26, July.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Joseph Y. Halpern & Rafael Pass, 2018. "Game theory with translucent players," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 949-976, September.
- Giacomo Bonanno, 2011.
"Reasoning about strategies and rational play in dynamic games,"
Working Papers
9, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 184, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2011.
"Reasoning about strategies and rational play in dynamic games,"
Working Papers
1111, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2014. "Reasoning about strategies and rational play in dynamic games," Working Papers 149, University of California, Davis, Department of Economics.
- Graciela Kuechle, 2009. "What Happened To The Three‐Legged Centipede Game?," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 562-585, July.
- Skyrms, Brian & Bell, Gary D. & Woodruff, Peter, 1999. "Theories of counter-factual and subjunctive conditionals in contexts of strategic interaction," Research in Economics, Elsevier, vol. 53(3), pages 275-291, September.
- Battigalli, Pierpaolo & Bonanno, Giacomo, 1999.
"Recent results on belief, knowledge and the epistemic foundations of game theory,"
Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
- Pierpaolo Battigali & Giacomo Bonanno, "undated". "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Department of Economics 98-14, California Davis - Department of Economics.
- Giacomo Bonanno & Pierpaolo Battigalli, 2003. "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Working Papers 266, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2018. "Behavior and deliberation in perfect-information games: Nash equilibrium and backward induction," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 1001-1032, September.
- Giacomo Bonanno, 2021. "Rational play in games: A behavioral approach," Working Papers 344, University of California, Davis, Department of Economics.
- Giacomo Bonanno, 2008. "Non-cooperative game theory," Working Papers 86, University of California, Davis, Department of Economics.
- Asheim, Geir B., 2002.
"On the epistemic foundation for backward induction,"
Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
- Asheim,G.B., 1999. "On the epistemic foundation for backward induction," Memorandum 30/1999, Oslo University, Department of Economics.
- Bonanno, Giacomo, 2013.
"A dynamic epistemic characterization of backward induction without counterfactuals,"
Games and Economic Behavior, Elsevier, vol. 78(C), pages 31-43.
- Giacomo Bonanno, 2012. "A dynamic epistemic characterization of backward induction without counterfactuals," Working Papers 10, University of California, Davis, Department of Economics.
- Cyril Hédoin, 2016.
"Community-Based Reasoning in Games: Salience, Rule-Following, and Counterfactuals,"
Games, MDPI, vol. 7(4), pages 1-17, November.
- Cyril Hédoin, 2016. "Community-Based Reasoning in Games: Salience, Rule-Following, and Counterfactuals," Post-Print hal-02865620, HAL.
- Giacomo Bonanno, 2022. "Rational Play in Extensive-Form Games," Games, MDPI, vol. 13(6), pages 1-20, October.
- Halpern, Joseph Y., 2001.
"Substantive Rationality and Backward Induction,"
Games and Economic Behavior, Elsevier, vol. 37(2), pages 425-435, November.
- Joseph Y. Halpern, 2000. "Substantive Rationality and Backward Induction," Game Theory and Information 0004008, University Library of Munich, Germany.
- 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.
- Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.
- Perea Andrés, 2003. "Rationalizability and Minimal Complexity in Dynamic Games," Research Memorandum 047, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
- Alfredo Di Tillio & Itzhak Gilboa & Larry Samuelson, 2013.
"The predictive role of counterfactuals,"
Theory and Decision, Springer, vol. 74(2), pages 167-182, February.
- Di Tillio, Alfredo & Gilboa, Itzhak & Samuelson, Larry, 2011. "The Predictive Role of Counterfactuals," Foerder Institute for Economic Research Working Papers 275754, Tel-Aviv University > Foerder Institute for Economic Research.
- Alfredo Di Tillio & Itzhak Gilboa & Larry Samuelson, 2012. "The predictive role of counterfactuals," Post-Print hal-00712888, HAL.
- Yun Wang, 2023. "Belief and higher‐order belief in the centipede games: An experimental investigation," Pacific Economic Review, Wiley Blackwell, vol. 28(1), pages 27-73, February.
More about this item
Keywords
backward induction; conditionals; doxastic logic;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:theord:v:54:y:2003:i:4:p:315-336. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.