An epistemic analysis of dynamic games with unawareness
Author
Abstract
Suggested Citation
DOI: 10.1016/j.geb.2019.10.006
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
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013.
"Dynamic unawareness and rationalizable behavior,"
Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
- Burkhard C. Schipper & Martin Meier & Aviad Heifetz, 2009. "Dynamic Unawareness and Rationalizable Behavior," Working Papers 39, University of California, Davis, Department of Economics.
- Burkhard Schipper & Martin Meier & Aviad Heifetz, 2011. "Dynamic unawareness and rationalizable behavior," Working Papers 315, University of California, Davis, Department of Economics.
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2009. "Dynamic Unawareness and Rationalizable Behavior," MPRA Paper 15058, University Library of Munich, Germany.
- Heifetz, Aviad & Samet, Dov, 1998.
"Topology-Free Typology of Beliefs,"
Journal of Economic Theory, Elsevier, vol. 82(2), pages 324-341, October.
- Aviad Heifetz & Dov Samet, 1996. "Topology-Free Typology of Beliefs," Game Theory and Information 9609002, University Library of Munich, Germany, revised 17 Sep 1996.
- Heifetz, Aviad & Samet, Dov, 1999. "Coherent beliefs are not always types," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 475-488, December.
- Adam Brandenburger & Eddie Dekel, 2014.
"Hierarchies of Beliefs and Common Knowledge,"
World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 2, pages 31-41,
World Scientific Publishing Co. Pte. Ltd..
- Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, November.
- 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," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 111, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, November.
- 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.
- 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.
- MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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..
- Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
- Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, November.
- Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
- Halpern, Joseph Y., 2010. "Lexicographic probability, conditional probability, and nonstandard probability," Games and Economic Behavior, Elsevier, vol. 68(1), pages 155-179, January.
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, November.
- Heifetz, Aviad, 1993. "The Bayesian Formulation of Incomplete Information--The Non-compact Case," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 329-338.
- Karni, Edi & Vierø, Marie-Louise, 2017.
"Awareness of unawareness: A theory of decision making in the face of ignorance,"
Journal of Economic Theory, Elsevier, vol. 168(C), pages 301-328.
- Edi Karni & Marie-Louise Viero, 2014. "Awareness Of Unawareness: A Theory Of Decision Making In The Face Of Ignorance," Working Paper 1322, Economics Department, Queen's University.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Interactive beliefs, epistemic independence and strong rationalizability," Research in Economics, Elsevier, vol. 53(3), pages 247-273, September.
- Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
- Myerson, Roger B, 1986.
"Multistage Games with Communication,"
Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
- Roger B. Myerson, 1984. "Multistage Games with Communication," Discussion Papers 590, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006.
"Interactive unawareness,"
Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
- HEIFETZ, Aviad & MEIER, Martin & SCHIPPER, Burkhard C., 2004. "Interactive unawareness," LIDAM Discussion Papers CORE 2004059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2005. "Interactive Unawareness," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 52, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- 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.
- Elchanan Ben-Porath, 1997. "Rationality, Nash Equilibrium and Backwards Induction in Perfect-Information Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 23-46.
- Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
- Battigalli, P., 1999. "Rationalizability in Incomplete Information Games," Economics Working Papers eco99/17, European University Institute.
- 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.
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, November.
- Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, November.
- John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
- 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.
- Heifetz Aviad & Meier Martin & Schipper Burkhard C., 2021.
"Prudent Rationalizability in Generalized Extensive-form Games with Unawareness,"
The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 525-556, June.
- Burkhard C. Schipper & Martin Meier & Aviad Heifetz, 2019. "Prudent Rationalizability in Generalized Extensive-Form Games with Unawareness," Working Papers 332, University of California, Davis, 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.
- Leandro Rêgo & Joseph Halpern, 2012. "Generalized solution concepts in games with possibly unaware players," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 131-155, February.
- Battigalli, Pierpaolo, 2003. "Rationalizability in infinite, dynamic games with incomplete information," Research in Economics, Elsevier, vol. 57(1), pages 1-38, March.
- Reny, Philip J, 1992. "Backward Induction, Normal Form Perfection and Explicable Equilibria," Econometrica, Econometric Society, vol. 60(3), pages 627-649, May.
- Penta, Antonio, 2015. "Robust dynamic implementation," Journal of Economic Theory, Elsevier, vol. 160(C), pages 280-316.
- Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
- Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, April.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Schipper, Burkhard C., 2021.
"Discovery and equilibrium in games with unawareness,"
Journal of Economic Theory, Elsevier, vol. 198(C).
- Schipper, Burkhard C, 2018. "Discovery and Equilibrium in Games with Unawareness," MPRA Paper 86300, University Library of Munich, Germany.
- Burkhard C. Schipper, 2021. "Discovery and Equilibrium in Games with Unawareness," Working Papers 340, University of California, Davis, Department of Economics.
- Auster, Sarah & Pavoni, Nicola, 2024.
"Optimal delegation and information transmission under limited awareness,"
Theoretical Economics, Econometric Society, vol. 19(1), January.
- Sarah Auster & Nicola Pavoni, 2021. "Optimal Delegation and Information Transmission under Limited Awareness," ECONtribute Discussion Papers Series 059, University of Bonn and University of Cologne, Germany.
- Sarah Auster & Nicola Pavoni, 2023. "Optimal Delegation and Information Transmission under Limited Awareness," CRC TR 224 Discussion Paper Series crctr224_2023_256v3, University of Bonn and University of Mannheim, Germany.
- Martin Meier & Burkhard C. Schipper, 2022. "Conditional dominance in games with unawareness," Working Papers 351, University of California, Davis, Department of Economics.
- Evan Piermont & Peio Zuazo-Garin, 2021. "Heterogeneously Perceived Incentives in Dynamic Environments: Rationalization, Robustness and Unique Selections," Papers 2105.06772, arXiv.org.
- Gaia Belardinelli & Burkhard C. Schipper, 2023. "Implicit Knowledge in Unawareness Structures," Working Papers 360, University of California, Davis, Department of Economics.
- Perea, Andrés, 2022. "Common belief in rationality in games with unawareness," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 11-30.
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.- Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
- Battigalli, Pierpaolo & De Vito, Nicodemo, 2021.
"Beliefs, plans, and perceived intentions in dynamic games,"
Journal of Economic Theory, Elsevier, vol. 195(C).
- Pierpaolo Battigalli & Nicodemo De Vito, 2018. "Beliefs, Plans, and Perceived Intentions in Dynamic Games," Working Papers 629, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Battigalli, P. & Catonini, E. & Manili, J., 2023.
"Belief change, rationality, and strategic reasoning in sequential games,"
Games and Economic Behavior, Elsevier, vol. 142(C), pages 527-551.
- Pierpaolo Battigalli & Emiliano Catonini & Julien Manili, 2021. "Belief change, Rationality, and Strategic Reasoning in Sequential Games," Working Papers 679, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Yi-Chun Chen & Xiao Luo & Chen Qu, 2016. "Rationalizability in general situations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 147-167, January.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 2007. "Interactive epistemology in games with payoff uncertainty," Research in Economics, Elsevier, vol. 61(4), pages 165-184, December.
- Zuazo-Garin, Peio, 2017.
"Uncertain information structures and backward induction,"
Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 135-151.
- Zuazo Garín, Peio, 2014. "Uncertain Information Structures and Backward Induction," IKERLANAK 12097, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
- Pierpaolo Battigalli & Roberto Corrao & Martin Dufwenberg, 2019. "Incorporating Belief-Dependent Motivation in Games Abstract:Psychological game theory (PGT), introduced by Geanakoplos, Pearce & Stacchetti (1989) and significantly generalized by Battigalli & Dufwenb," Working Papers 642, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Andrés Perea & Elias Tsakas, 2019. "Limited focus in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 571-607, June.
- 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.
- 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.
- Burkhard C. Schipper & Hang Zhou, 2022. "Level-k Thinking in the Extensive Form," Working Papers 352, University of California, Davis, Department of Economics.
- Bonanno, Giacomo, 2014. "A doxastic behavioral characterization of generalized backward induction," Games and Economic Behavior, Elsevier, vol. 88(C), pages 221-241.
- Perea, Andrés, 2017. "Forward induction reasoning and correct beliefs," Journal of Economic Theory, Elsevier, vol. 169(C), pages 489-516.
- Battigalli, Pierpaolo & Corrao, Roberto & Sanna, Federico, 2020.
"Epistemic game theory without types structures: An application to psychological games,"
Games and Economic Behavior, Elsevier, vol. 120(C), pages 28-57.
- Pierpaolo Battigalli & Roberto Corrao & Federico Sanna, 2019. "Epistemic Game Theory without Types Structures: An Application to Psychological Games," Working Papers 641, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Battigalli, Pierpaolo, 2003. "Rationalizability in infinite, dynamic games with incomplete information," Research in Economics, Elsevier, vol. 57(1), pages 1-38, March.
- 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, 2022. "Common belief in rationality in games with unawareness," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 11-30.
- De Magistris, Enrico, 2024. "Incomplete preferences or incomplete information? On Rationalizability in games with private values," Games and Economic Behavior, Elsevier, vol. 144(C), pages 126-140.
- 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.
- Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2015.
"Self-Confirming Equilibrium and Model Uncertainty,"
American Economic Review, American Economic Association, vol. 105(2), pages 646-677, February.
- P Battigalli & S Cerreia-Vioglio & F Maccheroni & M Marinacci, 2012. "Selfconfirming Equilibrium and Model Uncertainty," Levine's Working Paper Archive 786969000000000376, David K. Levine.
More about this item
Keywords
Dynamic exogenous unawareness structure; Conditional probability systems; Canonical hierarchical structure; Dynamic games; Strong rationalizability; Strong belief;All these keywords.
JEL classification:
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
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:eee:gamebe:v:120:y:2020:i:c:p:257-288. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.