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Nash Equilibrium under Knightian Uncertainty: Breaking Down Backward Induction

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Cited by:

  1. David Kelsey & Tigran Melkonyan, 2018. "Contests with ambiguity," Oxford Economic Papers, Oxford University Press, vol. 70(4), pages 1148-1169.
  2. Ralph W. Bailey & Jürgen Eichberger & David Kelsey, 2005. "Ambiguity and Public Good Provision in Large Societies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(5), pages 741-759, December.
  3. Ehud Lehrer, 2012. "Partially Specified Probabilities: Decisions and Games," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 70-100, February.
  4. Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2009. "Ambiguity and social interaction," Oxford Economic Papers, Oxford University Press, vol. 61(2), pages 355-379, April.
  5. Luo, Xiao & Ma, Chenghu, 2003. ""Agreeing to disagree" type results: a decision-theoretic approach," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 849-861, November.
  6. 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.
  7. Giuseppe De Marco, 2016. "Ambiguous Games without a State Space and Full Rationality," CSEF Working Papers 425, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 01 Apr 2017.
  8. Karni, Edi & Safra, Zvi, 2000. "An extension of a theorem of von Neumann and Morgenstern with an application to social choice theory," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 315-327, November.
  9. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
  10. David Dequech, 2006. "Towards An Alternative To The Game-Theoretic Concept Of Conventions," Anais do XXXIV Encontro Nacional de Economia [Proceedings of the 34th Brazilian Economics Meeting] 77, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
  11. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
  12. Giuseppe De Marco, 2019. "On the convexity of preferences in decisions and games under (quasi-)convex/concave imprecise probability correspondences," CSEF Working Papers 523, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  13. Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte & Tranaes, Torben, 1996. "The product of capacities and belief functions," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 95-108, October.
  14. Spanjers, Willy, 2008. "Central banks and ambiguity," International Review of Economics & Finance, Elsevier, vol. 17(1), pages 85-102.
  15. Andreas Lehnert & Wayne Passmore, 1999. "Pricing systemic crises: monetary and fiscal policy when savers are uncertain," Finance and Economics Discussion Series 1999-33, Board of Governors of the Federal Reserve System (U.S.).
  16. Cosmin L. Ilut & Martin Schneider, 2022. "Modeling Uncertainty as Ambiguity: a Review," NBER Working Papers 29915, National Bureau of Economic Research, Inc.
  17. Beauchêne, D., 2019. "Is ambiguity aversion bad for innovation?," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1154-1176.
  18. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
  19. Fulvio Fontini, 2009. "Probability And Uncertainty: The Legacy Of Georgescu‐Roegen," Metroeconomica, Wiley Blackwell, vol. 60(2), pages 324-342, May.
  20. Calford, Evan, 2016. "Mixed Strategies in Games with Ambiguity Averse Agents," MPRA Paper 74909, University Library of Munich, Germany.
  21. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
  22. Ebbe Groes & Hans Jørgen Jacobsen & Birgitte Sloth & Torben Tranaes, 1998. "Nash Equilibrium with Lower Probabilities," Theory and Decision, Springer, vol. 44(1), pages 37-66, January.
  23. Ehud Lehrer, 2009. "A new integral for capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 157-176, April.
  24. Takao Asano, 2004. "Portfolio Inertia under Ambiguity," ISER Discussion Paper 0609, Institute of Social and Economic Research, Osaka University.
  25. Werlang, Sérgio Ribeiro da Costa, 2000. "A notion of subgame perfect Nash equilibrium under knightian uncertainty," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 376, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
  26. Yasunori Okumura, 2021. "Rank-dominant strategy and sincere voting," Theory and Decision, Springer, vol. 90(1), pages 117-145, February.
  27. Giuseppe De Marco & Maria Romaniello, 2013. "On the Stability of Equilibria in Incomplete Information Games under Ambiguity," CSEF Working Papers 332, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  28. Zimper, Alexander, 2004. "On the existence of strategic solutions for games with security- and potential level players," Papers 04-04, Sonderforschungsbreich 504.
  29. Basili, Marcello & Chateauneuf, Alain & Fontini, Fulvio, 2008. "Precautionary principle as a rule of choice with optimism on windfall gains and pessimism on catastrophic losses," Ecological Economics, Elsevier, vol. 67(3), pages 485-491, October.
  30. David Kelsey & Wei Pang, 2010. "How productive is optimism? the Impact of ambiguity on the "big push"," Economics Bulletin, AccessEcon, vol. 30(1), pages 855-865.
  31. 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.
  32. Takao Asano, 2004. "Portfolio Inertia and [Epsilon]-Contaminations," ISER Discussion Paper 0610, Institute of Social and Economic Research, Osaka University.
  33. Albers, Leif, 2017. "Feasible Beliefs in Noncooperative Games," Center for Mathematical Economics Working Papers 352, Center for Mathematical Economics, Bielefeld University.
  34. Philippe Bich, 2016. "Prudent Equilibria and Strategic Uncertainty in Discontinuous Games," Working Papers halshs-01337293, HAL.
  35. 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.
  36. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
  37. Giuseppe De Marco & Maria Romaniello & Alba Roviello, 2022. "On Hurwicz Preferences in Psychological Games," CSEF Working Papers 659, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  38. Benner, Dietrich, 2004. "Quality Ambiguity and the Market Mechanism for Credence Goods," Working Papers 98639, Universitaet Hohenheim, Institute of Agricultural Policy and Agricultural Markets.
  39. Lo, Kin Chung, 2009. "Correlated Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 144(2), pages 722-743, March.
  40. Jürgen Eichberger & David Kelsey, 2014. "Optimism And Pessimism In Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(2), pages 483-505, May.
  41. Calford, Evan M., 2020. "Uncertainty aversion in game theory: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 720-734.
  42. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
  43. Giuseppe De Marco & Maria Romaniello, 2014. "Variational Preferences and Equilibria in Games under Ambiguous Beliefs Correspondences," CSEF Working Papers 363, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  44. Marcello Basili & Alain Chateauneuf & Fulvio Fontini, 2005. "Choices Under Ambiguity With Familiar And Unfamiliar Outcomes," Theory and Decision, Springer, vol. 58(2), pages 195-207, March.
  45. Jürgen Eichberger & David Kelsey, 2011. "Are the treasures of game theory ambiguous?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 313-339, October.
  46. David Kelsey & Sara Roux, 2015. "An experimental study on the effect of ambiguity in a coordination game," Theory and Decision, Springer, vol. 79(4), pages 667-688, December.
  47. Atsushi Kajii & Takashi Ui, 2005. "Incomplete Information Games With Multiple Priors," The Japanese Economic Review, Japanese Economic Association, vol. 56(3), pages 332-351, September.
  48. Jorn Rothe, 2000. "Uncertainty Aversion and Backward Induction," Econometric Society World Congress 2000 Contributed Papers 1610, Econometric Society.
  49. Lo, Kin Chung, 2002. "Correlated equilibrium under uncertainty," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 183-209, November.
  50. Dominiak, Adam & Duersch, Peter, 2015. "Benevolent and Malevolent Ellsberg Games," Working Papers 0592, University of Heidelberg, Department of Economics.
  51. Ghirardato, Paolo & Le Breton, Michel, 2000. "Choquet Rationality," Journal of Economic Theory, Elsevier, vol. 90(2), pages 277-285, February.
  52. Bich, Philippe, 2019. "Strategic uncertainty and equilibrium selection in discontinuous games," Journal of Economic Theory, Elsevier, vol. 183(C), pages 786-822.
  53. Dorian Beauchêne, 2016. "Solution concepts for games with ambiguous payoffs," Theory and Decision, Springer, vol. 80(2), pages 245-269, February.
  54. repec:ebl:ecbull:v:4:y:2006:i:37:p:1-7 is not listed on IDEAS
  55. Muraviev, Igor & Riedel, Frank & Sass, Linda, 2017. "Kuhn’s Theorem for extensive form Ellsberg games," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 26-41.
  56. Jürgen Eichberger & David Kelsey & Burkhard C. Schipper, 2009. "Ambiguity and social interaction," Oxford Economic Papers, Oxford University Press, vol. 61(2), pages 355-379, April.
  57. Giuseppe De Marco & Maria Romaniello, 2015. "On Games and Equilibria with Coherent Lower Expectations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, June.
  58. De Marco, Giuseppe & Romaniello, Maria, 2013. "A limit theorem for equilibria under ambiguous belief correspondences," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 431-438.
  59. Stephen Morris, 1997. "Risk, uncertainty and hidden information," Theory and Decision, Springer, vol. 42(3), pages 235-269, May.
  60. Kin Chung Lo, 2006. "A robust definition of possibility for biseparable preferences," Economics Bulletin, AccessEcon, vol. 4(37), pages 1-7.
  61. Schnedler, Wendelin & Dominiak, Adam, 2008. "Uncertainty Aversion and Preference for Randomization," Sonderforschungsbereich 504 Publications 08-39, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  62. Giuseppe De Marco & Maria Romaniello & Alba Roviello, 2021. "Psychological Nash Equilibria under Ambiguity," CSEF Working Papers 618, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  63. Adam Dominiak & Wendelin Schnedler, 2011. "Attitudes toward uncertainty and randomization: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 289-312, October.
  64. Dominiak, Adam & Lee, Min Suk, 2017. "Coherent Dempster–Shafer equilibrium and ambiguous signals," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 42-54.
  65. Eichberger, Jürgen & Kelsey, David, 2007. "Ambiguity," Papers 07-50, Sonderforschungsbreich 504.
  66. Bernhard Kasberger, 2022. "An Equilibrium Model of the First-Price Auction with Strategic Uncertainty: Theory and Empirics," Papers 2202.07517, arXiv.org, revised Mar 2022.
  67. Kauffeldt, T. Florian, 2016. "Strategic behavior of non-expected utility players in games with payoff uncertainty," Working Papers 0614, University of Heidelberg, Department of Economics.
  68. Jürgen Eichberger & David Kelsey, 2004. "Sequential Two-Player Games With Ambiguity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(4), pages 1229-1261, November.
  69. 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.
  70. Fulvio Fontini, 2005. "Cournot Oligopoly Under Strategic Uncertainty With Optimistic And Pessimistic Firms," Metroeconomica, Wiley Blackwell, vol. 56(3), pages 318-333, July.
  71. Jürgen Eichberger & David Kelsey & Burkhard Schipper, 2008. "Granny Versus Game Theorist: Ambiguity in Experimental Games," Theory and Decision, Springer, vol. 64(2), pages 333-362, March.
  72. Luo, Xiao & Ma, Chenghu, 2001. "Stable equilibrium in beliefs in extensive games with perfect information," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1801-1825, November.
  73. Jürgen Eichberger & David Kelsey, 1999. "E-Capacities and the Ellsberg Paradox," Theory and Decision, Springer, vol. 46(2), pages 107-138, April.
  74. Frank Riedel & Linda Sass, 2014. "Ellsberg games," Theory and Decision, Springer, vol. 76(4), pages 469-509, April.
  75. Matthew Ryan, 2001. "Capacity Updating Rules and Rational Belief Change," Theory and Decision, Springer, vol. 51(1), pages 73-87, August.
  76. Ma, Chenghu, 2000. "Uncertainty aversion and rationality in games of perfect information," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 451-482, March.
  77. Lo, Kin Chung, 1999. "Extensive Form Games with Uncertainty Averse Players," Games and Economic Behavior, Elsevier, vol. 28(2), pages 256-270, August.
  78. 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.
  79. Eichberger, Jurgen & Kelsey, David, 2002. "Strategic Complements, Substitutes, and Ambiguity: The Implications for Public Goods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 436-466, October.
  80. Jian Yang, 2015. "Game-theoretic Modeling of Players' Ambiguities on External Factors," Papers 1510.06812, arXiv.org, revised Apr 2017.
  81. Peter Klibanoff, 1998. "Stochastic Independence and Uncertainty Aversion," Discussion Papers 1212, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  82. Fontana, Giuseppe & Gerrard, Bill, 2004. "A Post Keynesian theory of decision making under uncertainty," Journal of Economic Psychology, Elsevier, vol. 25(5), pages 619-637, October.
  83. Ghirardato, Paolo, 1997. "On Independence for Non-Additive Measures, with a Fubini Theorem," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.
  84. Chenghu Ma, 2013. "Uncertainty Aversion and A Theory of Incomplete Contract," Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
  85. Dominiak, Adam, 2013. "Iterated Choquet expectations: A possibility result," Economics Letters, Elsevier, vol. 120(2), pages 155-159.
  86. Stauber, Ronald, 2019. "A strategic product for belief functions," Games and Economic Behavior, Elsevier, vol. 116(C), pages 38-64.
  87. Ryan, Matthew J., 2002. "Violations of Belief Persistence in Dempster-Shafer Equilibrium," Games and Economic Behavior, Elsevier, vol. 39(1), pages 167-174, April.
  88. Bade, Sophie, 2011. "Ambiguous act equilibria," Games and Economic Behavior, Elsevier, vol. 71(2), pages 246-260, March.
  89. Philippe Bich, 2016. "Prudent Equilibria and Strategic Uncertainty in Discontinuous Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01337293, HAL.
  90. Marco Rojas & Damián Vergara, 2021. "Ambiguity and long-run cooperation in strategic games," Oxford Economic Papers, Oxford University Press, vol. 73(3), pages 1077-1098.
  91. Alexander Zimper, 2007. "Strategic games with security and potential level players," Theory and Decision, Springer, vol. 63(1), pages 53-78, August.
  92. Evan M. Calford & Gregory DeAngelo, 2023. "Ambiguity and enforcement," Experimental Economics, Springer;Economic Science Association, vol. 26(2), pages 304-338, April.
  93. Jaeok Park & Doo Hyung Yun, 2023. "Possibilistic beliefs in strategic games," Theory and Decision, Springer, vol. 95(2), pages 205-228, August.
  94. Jürgen Eichberger & David Kelsey & Burkhard Schipper, 2008. "Granny Versus Game Theorist: Ambiguity in Experimental Games," Theory and Decision, Springer, vol. 64(2), pages 333-362, March.
  95. 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.
  96. Riedel, Frank & Sass, Linda, 2016. "The strategic use of ambiguity," Center for Mathematical Economics Working Papers 452, Center for Mathematical Economics, Bielefeld University.
  97. Bhattacharya, Vivek & Manuelli, Lucas & Straub, Ludwig, 2018. "Imperfect public monitoring with a fear of signal distortion," Journal of Economic Theory, Elsevier, vol. 175(C), pages 1-37.
  98. Dominiak, Adam & Duersch, Peter, 2019. "Interactive Ellsberg tasks: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 145-157.
  99. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
  100. Dominiak, Adam & Eichberger, Jürgen, 2016. "Support notions for belief functions," Economics Letters, Elsevier, vol. 146(C), pages 28-32.
  101. Asano, Takao, 2006. "Portfolio inertia under ambiguity," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 223-232, December.
  102. Joseph Greenberg, 2000. "The Right to Remain Silent," Theory and Decision, Springer, vol. 48(2), pages 193-204, March.
  103. Ivanov, Asen, 2011. "Attitudes to ambiguity in one-shot normal-form games: An experimental study," Games and Economic Behavior, Elsevier, vol. 71(2), pages 366-394, March.
  104. Roman Kozhan & Michael Zarichnyi, 2008. "Nash equilibria for games in capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 321-331, May.
  105. Dominiak, Adam & Eichberger, Jürgen, 2021. "Games in context: Equilibrium under ambiguity for belief functions," Games and Economic Behavior, Elsevier, vol. 128(C), pages 125-159.
  106. Schmidt, Ulrich & Zimper, Alexander, 2003. "Security And Potential Level Preferences With," Sonderforschungsbereich 504 Publications 03-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
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  108. Rosenberg, Dinah & Vieille, Nicolas, 2019. "Zero-sum games with ambiguity," Games and Economic Behavior, Elsevier, vol. 117(C), pages 238-249.
  109. De Marco, Giuseppe & Romaniello, Maria & Roviello, Alba, 2022. "Psychological Nash equilibria under ambiguity," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 92-106.
  110. Pavlo Blavatskyy, 2021. "A measure of ambiguity (Knightian uncertainty)," Theory and Decision, Springer, vol. 91(2), pages 153-171, September.
  111. Pulford, Briony D. & Colman, Andrew M., 2007. "Ambiguous games: Evidence for strategic ambiguity aversion," MPRA Paper 86345, University Library of Munich, Germany.
  112. Azrieli, Yaron & Teper, Roee, 2011. "Uncertainty aversion and equilibrium existence in games with incomplete information," Games and Economic Behavior, Elsevier, vol. 73(2), pages 310-317.
  113. Kin Chung Lo, 1998. "Epistemic Conditions for Agreement and Stochastic Independence of epsilon-Contaminated Beliefs," Working Papers 1998_02, York University, Department of Economics.
  114. Roman Kozhan, 2011. "Non-additive anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 215-230, May.
  115. Yang, Jian, 2018. "Game-theoretic modeling of players’ ambiguities on external factors," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 31-56.
  116. 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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