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Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games

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Cited by:

  1. 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.
  2. 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.
  3. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
  4. Penta, Antonio, 2004. "Perfect Sequential Reciprocity and Dynamic Consistency," MPRA Paper 10261, University Library of Munich, Germany, revised Sep 2007.
  5. Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
  6. V. K. Oikonomou & J. Jost, 2020. "Periodic Strategies II: Generalizations and Extensions," Papers 2005.12832, arXiv.org.
  7. Heinsalu, Sander, 2012. "Equivalence of the information structure with unawareness to the logic of awareness," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2453-2468.
  8. Bergemann, Dirk & Morris, Stephen & Takahashi, Satoru, 2017. "Interdependent preferences and strategic distinguishability," Journal of Economic Theory, Elsevier, vol. 168(C), pages 329-371.
  9. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
  10. 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.
  11. Dufwenberg, Martin & Patel, Amrish, 2019. "Introduction to special issue on psychological game theory," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 181-184.
  12. Board, Oliver, 2004. "Dynamic interactive epistemology," Games and Economic Behavior, Elsevier, vol. 49(1), pages 49-80, October.
  13. Vi Cao, 2022. "An epistemic approach to explaining cooperation in the finitely repeated Prisoner’s Dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 53-85, March.
  14. 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.
  15. Di Tillio, Alfredo & Halpern, Joseph Y. & Samet, Dov, 2014. "Conditional belief types," Games and Economic Behavior, Elsevier, vol. 87(C), pages 253-268.
  16. 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..
  17. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
  18. Cappelletti Giuseppe, 2010. "A Note on Rationalizability and Restrictions on Beliefs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-13, September.
  19. Liu, Qingmin, 2009. "On redundant types and Bayesian formulation of incomplete information," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2115-2145, September.
  20. Davide Cianciaruso & Fabrizio Germano, 2011. "Quotient Spaces of Boundedly Rational Types," Discussion Papers 1539, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  21. Oliver Board, 2002. "Algorithmic Characterization of Rationalizability in Extensive Form Games," Working Paper 244, Department of Economics, University of Pittsburgh, revised Jan 2002.
  22. 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.
  23. 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.
  24. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2011. "Selfconfirming Equilibrium and Uncertainty," Working Papers 428, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  25. 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 1-53, May.
  26. Battigalli, Pierpaolo & De Vito, Nicodemo, 2021. "Beliefs, plans, and perceived intentions in dynamic games," Journal of Economic Theory, Elsevier, vol. 195(C).
  27. Alfredo Di Tillio & Itzhak Gilboa & Larry Samuelson, 2013. "The predictive role of counterfactuals," Theory and Decision, Springer, vol. 74(2), pages 167-182, February.
  28. ATTANASI Giuseppe & NAGEL Rosemarie, 2008. "A Survey of Psychological Games: Theoretical Findings and Experimental Evidence," LERNA Working Papers 08.07.251, LERNA, University of Toulouse.
  29. Ziegler, Gabriel & Zuazo-Garin, Peio, 2020. "Strategic cautiousness as an expression of robustness to ambiguity," Games and Economic Behavior, Elsevier, vol. 119(C), pages 197-215.
  30. Tsakas, E., 2011. "Hierarchies of conditional beliefs derived from commonly known priors," Research Memorandum 021, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  31. Steven D. Levitt & John A. List & Sally E. Sadoff, 2011. "Checkmate: Exploring Backward Induction among Chess Players," American Economic Review, American Economic Association, vol. 101(2), pages 975-990, April.
  32. Arieli, Itai & Aumann, Robert J., 2015. "The logic of backward induction," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 443-464.
  33. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
  34. Pintér, Miklós, 2011. "Invariance under type morphisms: the bayesian Nash equilibrium," MPRA Paper 38499, University Library of Munich, Germany.
  35. Yun Wang, 2015. "Belief and Higher-Order Belief in the Centipede Games: Theory and Experiment," Working Papers 2015-03-24, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
  36. Christian W. Bach & Jérémie Cabessa, 2023. "Lexicographic agreeing to disagree and perfect equilibrium," Post-Print hal-04271274, HAL.
  37. Pierpaolo Battigalli, 2006. "Rationalization In Signaling Games: Theory And Applications," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 67-93.
  38. Zuazo-Garin, Peio, 2017. "Uncertain information structures and backward induction," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 135-151.
  39. Oikonomou, V.K. & Jost, J, 2013. "Periodic strategies and rationalizability in perfect information 2-Player strategic form games," MPRA Paper 48117, University Library of Munich, Germany.
  40. Nicodemo De Vito, 2023. "Complete Conditional Type Structures," Papers 2305.08940, arXiv.org, revised Dec 2023.
  41. 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.
  42. Paulo Barelli, 2010. "Consistent Beliefs in Extensive Form Games," Games, MDPI, vol. 1(4), pages 1-7, October.
  43. Fukuda, Satoshi, 2020. "Formalizing common belief with no underlying assumption on individual beliefs," Games and Economic Behavior, Elsevier, vol. 121(C), pages 169-189.
  44. Andrés Perea & Willemien Kets, 2016. "When Do Types Induce the Same Belief Hierarchy?," Games, MDPI, vol. 7(4), pages 1-17, October.
  45. Willemien Kets, 2012. "Bounded Reasoning and Higher-Order Uncertainty," Discussion Papers 1547, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  46. Yi-Chun Chen & Richard Holden & Takashi Kunimoto & Yifei Sun & Tom Wilkening, 2023. "Getting Dynamic Implementation to Work," Journal of Political Economy, University of Chicago Press, vol. 131(2), pages 285-387.
  47. Weinstein, Jonathan & Yildiz, Muhamet, 2007. "Impact of higher-order uncertainty," Games and Economic Behavior, Elsevier, vol. 60(1), pages 200-212, July.
  48. Joseph Greenberg & Sudheer Gupta & Xiao Luo, 2009. "Mutually acceptable courses of action," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 91-112, July.
  49. Perea, Andrés, 2017. "Forward induction reasoning and correct beliefs," Journal of Economic Theory, Elsevier, vol. 169(C), pages 489-516.
  50. Graciela Kuechle, 2009. "What Happened To The Three‐Legged Centipede Game?," Journal of Economic Surveys, Wiley Blackwell, vol. 23(3), pages 562-585, July.
  51. Pierpaolo Battigalli & Martin Dufwenberg, 2019. "Psychological Game Theory," Working Papers 646, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  52. Nicodemo De Vito, 2023. "Complete Conditional Type Structures (Extended Abstract)," Papers 2307.05630, arXiv.org.
  53. 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.
  54. , & , & ,, 2007. "Interim correlated rationalizability," Theoretical Economics, Econometric Society, vol. 2(1), pages 15-40, March.
  55. Pierpaolo Battigalli & Martin Dufwenberg, 2022. "Belief-Dependent Motivations and Psychological Game Theory," Journal of Economic Literature, American Economic Association, vol. 60(3), pages 833-882, September.
  56. Ghosal, Sayantan, 2006. "Intertemporal coordination in two-period markets," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 11-35, December.
  57. Catonini, Emiliano & De Vito, Nicodemo, 2020. "Weak belief and permissibility," Games and Economic Behavior, Elsevier, vol. 120(C), pages 154-179.
  58. Andrés Perea & Arkadi Predtetchinski, 2019. "An epistemic approach to stochastic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 181-203, March.
  59. Giacomo Bonanno & Klaus Nehring, "undated". "Epistemic Foundations Of Solution Concepts In Game Theory: An Introduction," Department of Economics 97-21, California Davis - Department of Economics.
  60. Tsakas, E., 2010. "Belief hierarchies in standard state space models and epistemic equivalence of belief spaces," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  61. Holler Manfred J., 2002. "Classical, Modern, and New Game Theory / Klassische, Moderne und Neue Spieltheorie," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 222(5), pages 556-583, October.
  62. Meier, Martin, 2008. "Universal knowledge-belief structures," Games and Economic Behavior, Elsevier, vol. 62(1), pages 53-66, January.
  63. Licun Xue, "undated". "A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability," Economics Working Papers 2000-4, Department of Economics and Business Economics, Aarhus University.
  64. Perea ý Monsuwé, A., 2003. "Proper rationalizability and belief revision in dynamic games," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  65. Lee, Byung Soo, 2013. "Conditional Beliefs and Higher-Order Preferences," MPRA Paper 48551, University Library of Munich, Germany.
  66. Ziegler, Gabriel, 2022. "Informational robustness of common belief in rationality," Games and Economic Behavior, Elsevier, vol. 132(C), pages 592-597.
  67. Battigalli, Pierpaolo, 2003. "Rationalizability in infinite, dynamic games with incomplete information," Research in Economics, Elsevier, vol. 57(1), pages 1-38, March.
  68. Pierpaolo Battigalli & Martin Dufwenberg & Alec Smith, 2015. "Frustration and Anger in Games," CESifo Working Paper Series 5258, CESifo.
  69. Pierpaolo Battigalli & Alfredo Di Tillio & Dov Samet, 2011. "Strategies and interactive beliefs in dynamic games," Working Papers 375, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  70. 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.
  71. Salonen, Hannu, 2009. "Common theories," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 279-289, November.
  72. V. K. Oikonomou & J. Jost, 2013. "Periodic Strategies: A New Solution Concept and an Algorithm for NonTrivial Strategic Form Games," Papers 1307.2035, arXiv.org, revised Jan 2018.
  73. Charness, Gary & Naef, Michael & Sontuoso, Alessandro, 2019. "Opportunistic conformism," Journal of Economic Theory, Elsevier, vol. 180(C), pages 100-134.
  74. Adam Dominiak & Matthew Kovach & Gerelt Tserenjigmid, 2022. "Ordered Surprises and Conditional Probability Systems," Papers 2208.02533, arXiv.org, revised Aug 2022.
  75. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1997. "An Epistemic Characterization of Extensive Form Rationalizability," Working Papers 1009, California Institute of Technology, Division of the Humanities and Social Sciences.
  76. Cyril Hédoin, 2016. "Community-Based Reasoning in Games: Salience, Rule-Following, and Counterfactuals," Games, MDPI, vol. 7(4), pages 1-17, November.
  77. Chen, Yi-Chun, 2010. "Universality of the Epstein-Wang type structure," Games and Economic Behavior, Elsevier, vol. 68(1), pages 389-402, January.
  78. Jeffrey C. Ely & Marcin Peski, 2005. "Hierarchies of Belief and Interim Rationalizability," Levine's Bibliography 122247000000000817, UCLA Department of Economics.
  79. Mariotti, Thomas & Meier, Martin & Piccione, Michele, 2005. "Hierarchies of beliefs for compact possibility models," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 303-324, April.
  80. Adam Brandenburger, 2007. "The power of paradox: some recent developments in interactive epistemology," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 465-492, April.
  81. Mario Gilli, 2002. "Iterated Admissibility as Solution Concept in Game Theory," Working Papers 47, University of Milano-Bicocca, Department of Economics, revised Mar 2002.
  82. Friedenberg, Amanda, 2010. "When do type structures contain all hierarchies of beliefs?," Games and Economic Behavior, Elsevier, vol. 68(1), pages 108-129, January.
  83. Catonini, Emiliano, 2019. "Rationalizability and epistemic priority orderings," Games and Economic Behavior, Elsevier, vol. 114(C), pages 101-117.
  84. Pintér, Miklós & Udvari, Zsolt, 2011. "Generalized type spaces," MPRA Paper 34107, University Library of Munich, Germany.
  85. Ahn, David S., 2007. "Hierarchies of ambiguous beliefs," Journal of Economic Theory, Elsevier, vol. 136(1), pages 286-301, September.
  86. 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.
  87. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2002. "Strong Belief and Forward Induction Reasoning," Journal of Economic Theory, Elsevier, vol. 106(2), pages 356-391, October.
  88. Battigalli, Pierpaolo & Corrao, Roberto & Dufwenberg, Martin, 2019. "Incorporating belief-dependent motivation in games," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 185-218.
  89. Guarino, Pierfrancesco, 2020. "An epistemic analysis of dynamic games with unawareness," Games and Economic Behavior, Elsevier, vol. 120(C), pages 257-288.
  90. 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.
  91. Müller, Christoph, 2016. "Robust virtual implementation under common strong belief in rationality," Journal of Economic Theory, Elsevier, vol. 162(C), pages 407-450.
  92. Lucia Buenrostro & Amrita Dhillon & Peter Vida, 2013. "Scoring rule voting games and dominance solvability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 329-352, February.
  93. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2007. "Interactive epistemology in games with payoff uncertainty," Research in Economics, Elsevier, vol. 61(4), pages 165-184, December.
  94. De Marco, Giuseppe & Romaniello, Maria & Roviello, Alba, 2022. "Psychological Nash equilibria under ambiguity," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 92-106.
  95. Vittorio Pelligra, 2011. "Intentions, Trust and Frames: A Note on Sociality and the Theory of Games," Review of Social Economy, Taylor & Francis Journals, vol. 69(2), pages 163-188.
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  99. Battigalli, Pierpaolo & Dufwenberg, Martin & Smith, Alec, 2019. "Frustration, aggression, and anger in leader-follower games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 15-39.
  100. Perea ý Monsuwé, A., 2004. "Minimal belief revision leads to backward induction," Research Memorandum 032, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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