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Dynamic choice under ambiguity

Citations

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Cited by:

  1. Perea, Andrés, 2025. "Dynamic consistency in games without expected utility," Journal of Economic Theory, Elsevier, vol. 229(C).
  2. Lex Borghans & Angela Lee Duckworth & James J. Heckman & Bas ter Weel, 2008. "The Economics and Psychology of Personality Traits," Journal of Human Resources, University of Wisconsin Press, vol. 43(4).
  3. Mayumi Horie, 2016. "Bayesian Updating for Complementarily Additive Beliefs under Ambiguity," KIER Working Papers 935, Kyoto University, Institute of Economic Research.
  4. Alexander Zimper, 2012. "The emergence of "fifty-fifty" probability judgements in a conditional Savage world," Working Papers 201221, University of Pretoria, Department of Economics.
  5. Mihm, Maximilian & Ozbek, Kemal, 2019. "On the identification of changing tastes," Games and Economic Behavior, Elsevier, vol. 116(C), pages 203-216.
  6. Lang, Matthias & Wambach, Achim, 2013. "The fog of fraud – Mitigating fraud by strategic ambiguity," Games and Economic Behavior, Elsevier, vol. 81(C), pages 255-275.
  7. Marinacci, Massimo & Massari, Filippo, 2019. "Learning from ambiguous and misspecified models," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 144-149.
  8. Simona Fabrizi & Steffen Lippert & Addison Pan & Matthew Ryan, 2021. "Unanimity under Ambiguity," Working Papers 2021-07, Auckland University of Technology, Department of Economics.
  9. Minardi, Stefania & Savochkin, Andrei, 2019. "Subjective contingencies and limited Bayesian updating," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1-45.
  10. Adam Dominiak & Jean-Philippe Lefort, 2011. "Unambiguous events and dynamic Choquet preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 401-425, April.
  11. Konstantinos Georgalos, 2019. "An experimental test of the predictive power of dynamic ambiguity models," Journal of Risk and Uncertainty, Springer, vol. 59(1), pages 51-83, August.
  12. Kathleen Ngangoué, M., 2021. "Learning under ambiguity: An experiment in gradual information processing," Journal of Economic Theory, Elsevier, vol. 195(C).
  13. Takao Asano & Hiroyuki Kojima, 2019. "Consequentialism and dynamic consistency in updating ambiguous beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 223-250, July.
  14. Cheaheon Lim, 2026. "Partially Identified Ambiguity," Papers 2602.07634, arXiv.org.
  15. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
  16. Diego C. Nocetti, 2018. "Ambiguity and the value of information revisited," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 43(1), pages 25-38, May.
  17. Spyros Galanis, 2021. "Dynamic consistency, valuable information and subjective beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1467-1497, June.
  18. Razin, Ronny & Levy, Gilat, 2020. "Combining forecasts in the presence of ambiguity over correlation structures," LSE Research Online Documents on Economics 104641, London School of Economics and Political Science, LSE Library.
  19. Tian, Jianrong, 2024. "Informational separability and entropy," Journal of Economic Theory, Elsevier, vol. 216(C).
  20. AMARANTE, Massimiliano, 2014. "What is ambiguity?," Cahiers de recherche 2014-01, Universite de Montreal, Departement de sciences economiques.
  21. Lorenzo Bastianello & José Heleno Faro, 2023. "Choquet expected discounted utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1071-1098, May.
  22. Mark Whitmeyer, 2023. "Blackwell-Monotone Updating Rules," Papers 2302.13956, arXiv.org, revised Nov 2024.
  23. 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.
  24. Cheng, Xiaoyu, 2025. "Ambiguous persuasion: An ex-ante formulation," Games and Economic Behavior, Elsevier, vol. 154(C), pages 149-158.
  25. Xiaoyu Cheng, 2020. "Ambiguous Persuasion: An Ex-Ante Formulation," Papers 2010.05376, arXiv.org, revised Aug 2025.
  26. Ellis, Andrew, 2018. "On dynamic consistency in ambiguous games," Games and Economic Behavior, Elsevier, vol. 111(C), pages 241-249.
  27. Tommi Ekholm & Erin Baker, 2022. "Multiple Beliefs, Dominance and Dynamic Consistency," Management Science, INFORMS, vol. 68(1), pages 529-540, January.
  28. Mehdi Ayouni & Frédéric Koessler, 2017. "Hard evidence and ambiguity aversion," Theory and Decision, Springer, vol. 82(3), pages 327-339, March.
  29. Bhattacharjee, Swagata, 2022. "Dynamic contracting for innovation under ambiguity," Games and Economic Behavior, Elsevier, vol. 132(C), pages 534-552.
  30. Joseph Y. Halpern & Samantha Leung, 2016. "Minimizing regret in dynamic decision problems," Theory and Decision, Springer, vol. 81(1), pages 123-151, June.
  31. Eichberger, Jürgen & Grant, Simon & Kelsey, David, 2017. "Ambiguity and the Centipede Game: Strategic Uncertainty in Multi-Stage Games," Working Papers 0638, University of Heidelberg, Department of Economics.
  32. Li, Shengwu & Yu, Ning Neil, 2018. "Context-dependent choice as explained by foraging theory," Journal of Economic Theory, Elsevier, vol. 175(C), pages 159-177.
  33. Andrew J. Keith & Darryl K. Ahner, 2021. "A survey of decision making and optimization under uncertainty," Annals of Operations Research, Springer, vol. 300(2), pages 319-353, May.
  34. Elchin Suleymanov, 2025. "Robust Maximum Likelihood Updating," Papers 2504.17151, arXiv.org, revised Dec 2025.
  35. Frick, Mira & Iijima, Ryota & Le Yaouanq, Yves, 2022. "Objective rationality foundations for (dynamic) α-MEU," Journal of Economic Theory, Elsevier, vol. 200(C).
  36. repec:mea:meawpa:13270 is not listed on IDEAS
  37. Stauber, Ronald, 2019. "A strategic product for belief functions," Games and Economic Behavior, Elsevier, vol. 116(C), pages 38-64.
  38. A. Nebout, 2014. "Sequential decision making without independence: a new conceptual approach," Theory and Decision, Springer, vol. 77(1), pages 85-110, June.
  39. Gebhard Geiger, 2020. "Conditional non-expected utility preferences induced by mixture of lotteries: a note on the normative invalidity of expected utility theory," Annals of Operations Research, Springer, vol. 289(2), pages 431-448, June.
  40. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2013. "Ambiguous Survival Beliefs and Hyperbolic Discounting in a Life-Cycle Model," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79878, Verein für Socialpolitik / German Economic Association.
  41. Alexander Ludwig & Alexander Zimper, 2013. "A decision-theoretic model of asset-price underreaction and overreaction to dividend news," Annals of Finance, Springer, vol. 9(4), pages 625-665, November.
  42. Marlon R. Moresco & Mélina Mailhot & Silvana M. Pesenti, 2025. "Uncertainty Propagation and Dynamic Robust Risk Measures," Mathematics of Operations Research, INFORMS, vol. 50(3), pages 1939-1964, August.
  43. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2016. "A life-cycle model with ambiguous survival beliefs," Journal of Economic Theory, Elsevier, vol. 162(C), pages 137-180.
  44. Li, Jian, 2019. "The K-armed bandit problem with multiple priors," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 22-38.
  45. Dominiak, Adam & Duersch, Peter & Lefort, Jean-Philippe, 2012. "A dynamic Ellsberg urn experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 625-638.
  46. David Dillenberger & Philipp Sadowski, 2019. "Stable behavior and generalized partition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 285-302, September.
  47. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
  48. Zimper, Alexander, 2012. "Asset pricing in a Lucas fruit-tree economy with the best and worst in mind," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 610-628.
  49. Takashi Hayashi, 2011. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," Theory and Decision, Springer, vol. 70(4), pages 399-430, April.
  50. Simone Galperti & Bruno Strulovici, 2013. "The Logical Consistency of Time Inconsistency: A Theory of Forward-Looking Behavior," Discussion Papers 1571, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  51. Takashi Hayashi, 2008. "Context dependence and consistency in dynamic choice under uncertainty: the case of anticipated regret," KIER Working Papers 659, Kyoto University, Institute of Economic Research.
  52. Li, Jian, 2020. "Preferences for partial information and ambiguity," Theoretical Economics, Econometric Society, vol. 15(3), July.
  53. Battigalli, P. & Francetich, A. & Lanzani, G. & Marinacci, M., 2019. "Learning and self-confirming long-run biases," Journal of Economic Theory, Elsevier, vol. 183(C), pages 740-785.
  54. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
  55. Faruk Gul & Wolfgang Pesendorfer, 2018. "Evaluating Ambiguous Random Variables and Updating by Proxy," Working Papers 2018-7, Princeton University. Economics Department..
  56. Grant, Simon & Stauber, Ronald, 2022. "Delegation and ambiguity in correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 132(C), pages 487-509.
  57. Subir Bose & Suresh Mutuswami, 2012. "Bilateral Bargaining in an Ambiguous Environment," Discussion Papers in Economics 12/10, Division of Economics, School of Business, University of Leicester.
  58. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2025. "Revenue effects of ambiguity in multi-unit auctions," Journal of Economic Theory, Elsevier, vol. 225(C).
  59. Saghafian, Soroush, 2018. "Ambiguous partially observable Markov decision processes: Structural results and applications," Journal of Economic Theory, Elsevier, vol. 178(C), pages 1-35.
  60. 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.
  61. Kellner, Christian & Le Quement, Mark T., 2018. "Endogenous ambiguity in cheap talk," Journal of Economic Theory, Elsevier, vol. 173(C), pages 1-17.
  62. 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.
  63. Cheng, Xiaoyu, 2022. "Relative Maximum Likelihood updating of ambiguous beliefs," Journal of Mathematical Economics, Elsevier, vol. 99(C).
  64. Levy, Gilat & Razin, Ronny, 2022. "Combining forecasts in the presence of ambiguity over correlation structures," Journal of Economic Theory, Elsevier, vol. 199(C).
  65. Pahlke, Marieke, 2022. "Dynamic consistency in incomplete information games with multiple priors," Games and Economic Behavior, Elsevier, vol. 133(C), pages 85-108.
  66. Gaurab Aryal & Ronald Stauber, 2014. "Trembles in extensive games with ambiguity averse players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(1), pages 1-40, September.
  67. Ozdenoren, Emre & Peck, James, 2008. "Ambiguity aversion, games against nature, and dynamic consistency," Games and Economic Behavior, Elsevier, vol. 62(1), pages 106-115, January.
  68. Kellner, Christian & Le Quement, Mark T. & Riener, Gerhard, 2022. "Reacting to ambiguous messages: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 136(C), pages 360-378.
  69. Joseph Halpern & Samantha Leung, 2015. "Weighted sets of probabilities and minimax weighted expected regret: a new approach for representing uncertainty and making decisions," Theory and Decision, Springer, vol. 79(3), pages 415-450, November.
  70. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
  71. Spyros Galanis & Christos A Ioannou & Stelios Kotronis, 2024. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(6), pages 3423-3467.
  72. Ronald Stauber, 2019. "A strategic product for belief functions," ANU Working Papers in Economics and Econometrics 2019-668, Australian National University, College of Business and Economics, School of Economics.
  73. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.
  74. Daniele Pennesi, 2013. "Asset Prices in an Ambiguous Economy," Carlo Alberto Notebooks 315, Collegio Carlo Alberto.
  75. Hill, Brian, 2020. "Dynamic consistency and ambiguity: A reappraisal," Games and Economic Behavior, Elsevier, vol. 120(C), pages 289-310.
  76. Alexander Zimper & Alexander Ludwig, 2007. "Attitude polarization," MEA discussion paper series 07155, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
  77. David S. Ahn & Ryota Iijima & Yves Le Yaouanq & Todd Sarver, 2017. "Behavioral Characterizations of Naivet� for Time-Inconsistent Preferences," Cowles Foundation Discussion Papers 2074, Cowles Foundation for Research in Economics, Yale University.
  78. Bleichrodt, Han & Eichberger, Jürgen & Grant, Simon & Kelsey, David & Li, Chen, 2021. "Testing dynamic consistency and consequentialism under ambiguity," European Economic Review, Elsevier, vol. 134(C).
  79. Riella, Gil, 2013. "Preference for Flexibility and Dynamic Consistency," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2467-2482.
  80. Faro, José Heleno & Lefort, Jean-Philippe, 2019. "Dynamic objective and subjective rationality," Theoretical Economics, Econometric Society, vol. 14(1), January.
  81. Christoph Kuzmics & Brian W. Rogers & Xiannong Zhang, 2019. "Is Ellsberg behavior evidence of ambiguity aversion?," Graz Economics Papers 2019-07, University of Graz, Department of Economics.
  82. Swagata Bhattacharjee, 2019. "Dynamic Contracting for Innovation Under Ambiguity," Working Papers 1022, Ashoka University, Department of Economics, revised Aug 2019.
  83. Ludwig, Alexander & Zimper, Alexander, 2014. "Biased Bayesian learning with an application to the risk-free rate puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 79-97.
  84. Dominiak, Adam & Duersch, Peter, 2015. "Benevolent and Malevolent Ellsberg Games," Working Papers 0592, University of Heidelberg, Department of Economics.
  85. Lorenzo Bastianello & José Heleno Faro & Ana Santos, 2022. "Dynamically consistent objective and subjective rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 477-504, September.
  86. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
  87. Daniel Heyen, 2018. "Ambiguity aversion under maximum-likelihood updating," Theory and Decision, Springer, vol. 84(3), pages 373-386, May.
  88. Massimiliano Amarante, 2017. "Information and Ambiguity: Toward a Foundation of Nonexpected Utility," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1254-1279, November.
  89. Kocherlakota, Narayana R. & Song, Yangwei, 2019. "Public goods with ambiguity in large economies," Journal of Economic Theory, Elsevier, vol. 182(C), pages 218-246.
  90. Kellner, Christian & Le Quement, Mark T., 2017. "Modes of ambiguous communication," Games and Economic Behavior, Elsevier, vol. 104(C), pages 271-292.
  91. Hayashi, Takashi, 2009. "Stopping with anticipated regret," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 479-490, July.
  92. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
  93. A. Ludwig & A. Zimper, 2013. "A parsimonious model of subjective life expectancy," Theory and Decision, Springer, vol. 75(4), pages 519-541, October.
  94. Xiaoyu Cheng, 2019. "Relative Maximum Likelihood Updating of Ambiguous Beliefs," Papers 1911.02678, arXiv.org, revised Oct 2021.
  95. Piermont, Evan & Takeoka, Norio & Teper, Roee, 2016. "Learning the Krepsian state: Exploration through consumption," Games and Economic Behavior, Elsevier, vol. 100(C), pages 69-94.
  96. Giordani, Paolo E. & Schlag, Karl H. & Zwart, Sanne, 2010. "Decision makers facing uncertainty: Theory versus evidence," Journal of Economic Psychology, Elsevier, vol. 31(4), pages 659-675, August.
  97. Christoph Kuzmics & Brian W. Rogers & Xiannong Zhang, 2022. "An Ellsberg paradox for ambiguity aversion," Graz Economics Papers 2022-05, University of Graz, Department of Economics.
  98. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2024. "Who saves more, the naive or the sophisticated agent?," Journal of Economic Theory, Elsevier, vol. 219(C).
  99. Othon M. Moreno & Yaroslav Rosokha, 2016. "Learning under compound risk vs. learning under ambiguity – an experiment," Journal of Risk and Uncertainty, Springer, vol. 53(2), pages 137-162, December.
  100. Battigalli, P. & Catonini, E. & Lanzani, G. & Marinacci, M., 2019. "Ambiguity attitudes and self-confirming equilibrium in sequential games," Games and Economic Behavior, Elsevier, vol. 115(C), pages 1-29.
  101. Michael Greinecker & Christoph Kuzmics, 2026. "Limit Orders and Knightian Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 67(1), pages 353-363, February.
  102. José Heleno Faro & Ana Santos, 2023. "Updating variational (Bewley) preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 207-228, January.
  103. Roxane Bricet, 2018. "The price for instrumentally valuable information," Thema Working Papers 2018-10, THEMA (Théorie Economique, Modélisation et Applications), CY Cergy-Paris University, ESSEC and CNRS.
  104. Roee Teper, 2016. "Learning the Krepsian State: Exploration Through Consumption," Working Paper 5860, Department of Economics, University of Pittsburgh.
  105. Schlag, Karl H. & Zapechelnyuk, Andriy, 2021. "Robust sequential search," Theoretical Economics, Econometric Society, vol. 16(4), November.
  106. Heyen, Daniel, 2018. "Ambiguity aversion under maximum-likelihood updating," LSE Research Online Documents on Economics 80342, London School of Economics and Political Science, LSE Library.
  107. Ghosh, Gagan & Liu, Heng, 2021. "Sequential auctions with ambiguity," Journal of Economic Theory, Elsevier, vol. 197(C).
  108. Alexander Zimper & Alexander Ludwig, 2009. "On attitude polarization under Bayesian learning with non-additive beliefs," Journal of Risk and Uncertainty, Springer, vol. 39(2), pages 181-212, October.
  109. Massimo Marinacci, 2015. "Model Uncertainty," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1022-1100, December.
  110. Alexander Zimper, 2011. "Do Bayesians Learn Their Way Out of Ambiguity?," Decision Analysis, INFORMS, vol. 8(4), pages 269-285, December.
  111. Eran Hanany & Peter Klibanoff & Sujoy Mukerji, 2020. "Incomplete Information Games with Ambiguity Averse Players," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 135-187, May.
  112. Aloisio Araujo & Alain Chateauneuf & José Heleno Faro & Bruno Holanda, 2019. "Updating pricing rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 335-361, September.
  113. Lang, Matthias & Wasser, Cédric, 0. "Benefits and challenges of ambiguous product information," Theoretical Economics, Econometric Society.
  114. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
  115. Stefan Trautmann & Peter P. Wakker, 2018. "Making the Anscombe-Aumann approach to ambiguity suitable for descriptive applications," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 83-116, February.
  116. Zimper, Alexander, 2023. "Unrealized arbitrage opportunities in naive equilibria with non-Bayesian belief processes," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 27-41.
  117. Joachim Hubmer & Franz Ostrizek, 2015. "A note on consequentialism in a dynamic Savage framework: a comment on Ghirardato (2002)," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 265-269, October.
  118. Faro, José Heleno & Lefort, Jean Philippe, 2013. "Dynamic Objective and Subjective Rationality," Insper Working Papers wpe_312, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
  119. Bade, Sophie, 2022. "Dynamic semi-consistency," Games and Economic Behavior, Elsevier, vol. 134(C), pages 117-126.
  120. Auster, Sarah & Kellner, Christian, 2022. "Robust bidding and revenue in descending price auctions," Journal of Economic Theory, Elsevier, vol. 199(C).
  121. Li, Jian & Zhou, Junjie, 2016. "Blackwell's informativeness ranking with uncertainty-averse preferences," Games and Economic Behavior, Elsevier, vol. 96(C), pages 18-29.
  122. Han Bleichrodt & Jurgen Eichberger & Simon Grant & David Kelsey & Chen Li, 2018. "A Test of Dynamic Consistency and Consequentialism in the Presence of Ambiguity," Discussion Papers 1803, University of Exeter, Department of Economics.
  123. Chandrasekher, Madhav, 2018. "Informal commitments in planner–doer games," Journal of Economic Theory, Elsevier, vol. 173(C), pages 201-230.
  124. Riedel, Frank & Tallon, Jean-Marc & Vergopoulos, Vassili, 2018. "Dynamically consistent preferences under imprecise probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 117-124.
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