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Lexicographic Probabilities and Choice under Uncertainty

Citations

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Cited by:

  1. Emiliano Catonini, 2022. "A Dutch book argument for belief consistency," Papers 2202.10121, arXiv.org.
  2. Govindan, Srihari & Wilson, Robert B., 2005. "Justification of Stable Equilibria," Research Papers 1896, Stanford University, Graduate School of Business.
  3. Geir B. Asheim & Andrés Perea, 2019. "Algorithms for cautious reasoning in games," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(4), pages 1241-1275, December.
  4. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
  5. Hammond, Peter J., 1999. "Non-Archimedean subjective probabilities in decision theory and games," Mathematical Social Sciences, Elsevier, vol. 38(2), pages 139-156, September.
  6. Di Tillio, Alfredo & Halpern, Joseph Y. & Samet, Dov, 2014. "Conditional belief types," Games and Economic Behavior, Elsevier, vol. 87(C), pages 253-268.
  7. Françoise Forges & József Sákovics, 2022. "Tenable threats when Nash equilibrium is the norm," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 589-605, November.
  8. 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.
  9. Peter A. Streufert, 2003. "Products of Representations Characterize the Products of Dispersions and the Consistency of Beliefs," University of Western Ontario, Departmental Research Report Series 20039, University of Western Ontario, Department of Economics.
  10. Shuige Liu, 2018. "Characterizing Permissibility, Proper Rationalizability, and Iterated Admissibility by Incomplete Information," Papers 1811.01933, arXiv.org.
  11. Geir B. Asheim & Martin Dufwenberg, 2003. "Deductive Reasoning in Extensive Games," Economic Journal, Royal Economic Society, vol. 113(487), pages 305-325, April.
  12. Battigalli, Pierpaolo & De Vito, Nicodemo, 2021. "Beliefs, plans, and perceived intentions in dynamic games," Journal of Economic Theory, Elsevier, vol. 195(C).
  13. Asheim, Geir & Søvik, Ylva, 2003. "The semantics of preference-based belief operators," Memorandum 05/2003, Oslo University, Department of Economics.
  14. Christian W. Bach & Jérémie Cabessa, 2023. "Lexicographic agreeing to disagree and perfect equilibrium," Post-Print hal-04271274, HAL.
  15. Stalnaker, Robert, 1999. "Extensive and strategic forms: Games and models for games," Research in Economics, Elsevier, vol. 53(3), pages 293-319, September.
  16. Ken Binmore, "undated". "Rationality and Backward Induction," ELSE working papers 047, ESRC Centre on Economics Learning and Social Evolution.
  17. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
  18. Burkhard Schipper & Martin Meier & Aviad Heifetz, 2017. "Comprehensive Rationalizability," Working Papers 174, University of California, Davis, Department of Economics.
  19. Mailath, George J. & Samuelson, Larry & Swinkels, Jeroen M., 1997. "How Proper Is Sequential Equilibrium?," Games and Economic Behavior, Elsevier, vol. 18(2), pages 193-218, February.
  20. Andrés Perea & Willemien Kets, 2016. "When Do Types Induce the Same Belief Hierarchy?," Games, MDPI, vol. 7(4), pages 1-17, October.
  21. Brian Hill, 2022. "Updating confidence in beliefs," Post-Print hal-03503986, HAL.
  22. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
  23. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2004. "Rationality of Belief Or: Why Savage's axioms are neither necessary nor sufficient for rationality, Second Version," PIER Working Paper Archive 07-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2007.
  24. Hill, Brian, 2022. "Updating confidence in beliefs," Journal of Economic Theory, Elsevier, vol. 199(C).
  25. Peter A. Streufert, 2006. "Products of Several Relative Probabilities," University of Western Ontario, Departmental Research Report Series 20061, University of Western Ontario, Department of Economics.
  26. Asheim, Geir B. & Brunnschweiler, Thomas, 2023. "Epistemic foundation of the backward induction paradox," Games and Economic Behavior, Elsevier, vol. 141(C), pages 503-514.
  27. 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.
  28. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2011. "Prudent rationalizability in generalized extensive-form games," MPRA Paper 30220, University Library of Munich, Germany.
  29. Hara, Kazuhiro, 2022. "Coalitional strategic games," Journal of Economic Theory, Elsevier, vol. 204(C).
  30. David McCarthy & Kalle Mikkola & Teruji Thomas, 2019. "Aggregation for potentially infinite populations without continuity or completeness," Papers 1911.00872, arXiv.org.
  31. Federica Ceron & Vassili Vergopoulos, 2021. "On stochastic independence under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 925-960, April.
  32. Giacomo Bonanno & Cédric Dégremont, 2013. "Logic and Game Theory," Working Papers 11, University of California, Davis, Department of Economics.
  33. Asheim, Geir B. & Dufwenberg, Martin, 2003. "Admissibility and common belief," Games and Economic Behavior, Elsevier, vol. 42(2), pages 208-234, February.
  34. 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).
  35. Lehmann, Daniel, 2001. "Expected Qualitative Utility Maximization," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 54-79, April.
  36. Lee, Byung Soo, 2013. "Conditional Beliefs and Higher-Order Preferences," MPRA Paper 48551, University Library of Munich, Germany.
  37. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
  38. 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.
  39. Asheim, G.B. & Dufwenberg, M., 1996. "Admissibility and Common Knowledge," Discussion Paper 1996-16, Tilburg University, Center for Economic Research.
  40. Shuige Liu, 2018. "Ordered Kripke Model, Permissibility, and Convergence of Probabilistic Kripke Model," Papers 1801.08767, arXiv.org.
  41. Lo, Kin Chung, 2009. "Correlated Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 144(2), pages 722-743, March.
  42. Catonini, Emiliano & De Vito, Nicodemo, 2024. "Cautious belief and iterated admissibility," Journal of Mathematical Economics, Elsevier, vol. 110(C).
  43. Asheim,G.B., 1999. "Proper consistency," Memorandum 31/1999, Oslo University, Department of Economics.
  44. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2004. "Rationality of Belief Or: Why Savage's axioms are neither necessary nor sufficient for rationality, Second Version," PIER Working Paper Archive 07-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2007.
  45. 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).
  46. Nathan Berg & Gerd Gigerenzer, 2010. "As-if behavioral economics: neoclassical economics in disguise?," History of Economic Ideas, Fabrizio Serra Editore, Pisa - Roma, vol. 18(1), pages 133-166.
  47. LaValle, Irving H. & Fishburn, Peter C., 1996. "On the varieties of matrix probabilities in nonarchimedean decision theory," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 33-54.
  48. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.
  49. Giacomo Bonanno & Cédric Dégremont, 2013. "Logic and Game Theory," Working Papers 134, University of California, Davis, Department of Economics.
  50. Schreyer, Felix & Held, Hermann, 2020. "How to formulate climate targets under uncertainty and anticipated future learning about climate sensitivity? – An axiomatic review of the strong sustainability paradigm," WiSo-HH Working Paper Series 54, University of Hamburg, Faculty of Business, Economics and Social Sciences, WISO Research Laboratory.
  51. Lee, Byung Soo, 2016. "Admissibility and assumption," Journal of Economic Theory, Elsevier, vol. 163(C), pages 42-72.
  52. Barelli, Paulo & Galanis, Spyros, 2013. "Admissibility and event-rationality," Games and Economic Behavior, Elsevier, vol. 77(1), pages 21-40.
  53. Tian, Dejian & Tian, Weidong, 2014. "Optimal risk-sharing under mutually singular beliefs," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 41-49.
  54. Yeon‐Koo Che & Jinwoo Kim & Fuhito Kojima & Christopher Thomas Ryan, 2024. "“Near” Weighted Utilitarian Characterizations of Pareto Optima," Econometrica, Econometric Society, vol. 92(1), pages 141-165, January.
  55. Adam Brandenburger & Amanda Friedenberg, 2014. "Self-Admissible Sets," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 8, pages 213-249, World Scientific Publishing Co. Pte. Ltd..
  56. Petri, Henrik, 2020. "Lexicographic probabilities and robustness," Games and Economic Behavior, Elsevier, vol. 122(C), pages 426-439.
  57. Shuige Liu, 2018. "Characterizing Assumption of Rationality by Incomplete Information," Papers 1801.04714, arXiv.org.
  58. Lo, Kin Chung, 2000. "Epistemic conditions for agreement and stochastic independence of [epsi]-contaminated beliefs," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 207-234, March.
  59. Charles F. Manski, 2008. "Partial Prescriptions For Decisions With Partial Knowledge," NBER Working Papers 14396, National Bureau of Economic Research, Inc.
  60. Klaus Nehring, 2006. "Decision-Making in the Context of Imprecise Probabilistic Beliefs," Economics Working Papers 0034, Institute for Advanced Study, School of Social Science.
  61. Basu, Pathikrit, 2019. "Bayesian updating rules and AGM belief revision," Journal of Economic Theory, Elsevier, vol. 179(C), pages 455-475.
  62. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2019. "Comprehensive rationalizability," Games and Economic Behavior, Elsevier, vol. 116(C), pages 185-202.
  63. Dekel, Eddie & Siniscalchi, Marciano, 2015. "Epistemic Game Theory," Handbook of Game Theory with Economic Applications,, Elsevier.
  64. Karni, Edi, 2010. "Red herrings: Some thoughts on the meaning of zero-probability events and mathematical modeling," Economics Letters, Elsevier, vol. 107(2), pages 134-135, May.
  65. Jouini, Elyes & Kallal, Hedi, 2001. "Efficient Trading Strategies in the Presence of Market Frictions," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 343-369.
  66. Penta, Antonio, 2004. "Perfect Sequential Reciprocity and Dynamic Consistency," MPRA Paper 10261, University Library of Munich, Germany, revised Sep 2007.
  67. Keisler, H. Jerome & Lee, Byung Soo, 2023. "Common assumption of rationality," Journal of Mathematical Economics, Elsevier, vol. 109(C).
  68. Asheim, Geir B., 2002. "On the epistemic foundation for backward induction," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 121-144, November.
  69. Dekel, Eddie & Friedenberg, Amanda & Siniscalchi, Marciano, 2016. "Lexicographic beliefs and assumption," Journal of Economic Theory, Elsevier, vol. 163(C), pages 955-985.
  70. Peter Klibanoff, 1998. "Stochastic Independence and Uncertainty Aversion," Discussion Papers 1212, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  71. Asheim,G.B. & Perea,A., 2000. "Lexicographic probabilities and rationalizability in extensive games," Memorandum 38/2000, Oslo University, Department of Economics.
  72. Tsakas, Elias, 2014. "Epistemic equivalence of extended belief hierarchies," Games and Economic Behavior, Elsevier, vol. 86(C), pages 126-144.
  73. Halpern, Joseph Y. & Pass, Rafael, 2012. "Iterated regret minimization: A new solution concept," Games and Economic Behavior, Elsevier, vol. 74(1), pages 184-207.
  74. Piermont, Evan, 2021. "Unforeseen evidence," Journal of Economic Theory, Elsevier, vol. 193(C).
  75. Bade, Sophie, 2011. "Ambiguous act equilibria," Games and Economic Behavior, Elsevier, vol. 71(2), pages 246-260, March.
  76. Fukuda, Satoshi, 2020. "Formalizing common belief with no underlying assumption on individual beliefs," Games and Economic Behavior, Elsevier, vol. 121(C), pages 169-189.
  77. Asheim, Geir B. & Sovik, Ylva, 2005. "Preference-based belief operators," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 61-82, July.
  78. John Hillas & Elon Kohlberg, 1996. "Foundations of Strategic Equilibrium," Game Theory and Information 9606002, University Library of Munich, Germany, revised 18 Sep 1996.
  79. Hugo Cruz-Sanchez, 2016. "Generalized Subjective Lexicographic Expected Utility Representation," Papers 1605.07680, arXiv.org.
  80. Bach, Christian W. & Perea, Andrés, 2013. "Agreeing to disagree with lexicographic prior beliefs," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 129-133.
  81. Peter A. Streufert, 2005. "Two Characterizations of Consistency," University of Western Ontario, Departmental Research Report Series 20052, University of Western Ontario, Department of Economics.
  82. repec:esx:essedp:722 is not listed on IDEAS
  83. Lee, Byung Soo, 2016. "A characterization of Brandenburger–Friedenberg–Keisler’s assumption," Economics Letters, Elsevier, vol. 145(C), pages 60-64.
  84. Catonini, Emiliano & De Vito, Nicodemo, 2020. "Weak belief and permissibility," Games and Economic Behavior, Elsevier, vol. 120(C), pages 154-179.
  85. Halpern, Joseph Y., 2010. "Lexicographic probability, conditional probability, and nonstandard probability," Games and Economic Behavior, Elsevier, vol. 68(1), pages 155-179, January.
  86. Govindan, Srihari & Wilson, Robert B., 2005. "Refinements of Nash Equilibrium," Research Papers 1897, Stanford University, Graduate School of Business.
  87. Carlos Pimienta, 2011. "Weakly-Bayesian and Consistent Assessments," Discussion Papers 2012-02, School of Economics, The University of New South Wales.
  88. 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).
  89. Keisler, H. Jerome & Lee, Byung Soo, 2011. "Common assumption of rationality," MPRA Paper 34441, University Library of Munich, Germany.
  90. Perea, Andrés, 2011. "An algorithm for proper rationalizability," Games and Economic Behavior, Elsevier, vol. 72(2), pages 510-525, June.
  91. Heymann, Benjamin & De Lara, Michel & Chancelier, Jean-Philippe, 2022. "Kuhn's equivalence theorem for games in product form," Games and Economic Behavior, Elsevier, vol. 135(C), pages 220-240.
  92. Perea, Andres, 2007. "Proper belief revision and equilibrium in dynamic games," Journal of Economic Theory, Elsevier, vol. 136(1), pages 572-586, September.
  93. Shuige Liu, 2021. "Characterizing permissibility, proper rationalizability, and iterated admissibility by incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 119-148, March.
  94. 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.
  95. Catonini, Emiliano, 2019. "Rationalizability and epistemic priority orderings," Games and Economic Behavior, Elsevier, vol. 114(C), pages 101-117.
  96. Pierpaolo Battigalli & Emiliano Catonini, 2022. "The Epistemic Spirit of Divinity," Working Papers 681, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  97. Søvik, Ylva, 2009. "Strength of dominance and depths of reasoning--An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 196-205, May.
  98. Xiao Luo & Ben Wang, 2022. "An epistemic characterization of MACA," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 995-1024, June.
  99. Asheim,G.B., 2000. "Deriving belief operators from preferences," Memorandum 25/2000, Oslo University, Department of Economics.
  100. Lee, Byung Soo, 2016. "A space of lexicographic preferences," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 16-25.
  101. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
  102. Ken Binmore, "undated". "Backward Induction and Common Knowledge," ELSE working papers 008, ESRC Centre on Economics Learning and Social Evolution.
  103. Andrés Perea, 2006. "Proper belief revision and rationalizability in dynamic games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 529-559, November.
  104. Peter J. Hammond, 1997. "Subjectively Expected State-Independent Utility on State-Dependent Consequence Domains," Working Papers 97024, Stanford University, Department of Economics.
  105. Stalnaker, Robert, 1998. "Belief revision in games: forward and backward induction1," Mathematical Social Sciences, Elsevier, vol. 36(1), pages 31-56, July.
  106. Kin Chung Lo, 1998. "Epistemic Conditions for Agreement and Stochastic Independence of epsilon-Contaminated Beliefs," Working Papers 1998_02, York University, Department of Economics.
  107. Klaus Nehring, 2003. "Common Priors For Like-Minded Agents," Economics Working Papers 0035, Institute for Advanced Study, School of Social Science.
  108. Kohlberg, Elon & Reny, Philip J., 1997. "Independence on Relative Probability Spaces and Consistent Assessments in Game Trees," Journal of Economic Theory, Elsevier, vol. 75(2), pages 280-313, August.
  109. Bach, Christian W. & Cabessa, Jérémie, 2023. "Lexicographic agreeing to disagree and perfect equilibrium," Journal of Mathematical Economics, Elsevier, vol. 109(C).
  110. Nakamura, Yutaka, 2002. "Lexicographic quasilinear utility," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 157-178, May.
  111. Benjamin Heymann & Michel de Lara & Jean-Philippe Chancelier, 2020. "Kuhn's Equivalence Theorem for Games in Intrinsic Form," Papers 2006.14838, arXiv.org.
  112. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2004. "Rationality of Belief Or: Why Savage's axioms are neither necessary nor sufficient for rationality, Second Version," PIER Working Paper Archive 07-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2007.
  113. 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.
  114. Joseph Y. Halpern & Yoram Moses, 2017. "Characterizing solution concepts in terms of common knowledge of rationality," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 457-473, May.
  115. Eichberger, Jurgen & Kelsey, David, 2000. "Non-Additive Beliefs and Strategic Equilibria," Games and Economic Behavior, Elsevier, vol. 30(2), pages 183-215, February.
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