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Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries

Citations

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Cited by:

  1. James C. Cox & Vjollca Sadiraj, 2025. "Salient Rewards, Payoff Protocols and Biased Data," Experimental Economics Center Working Paper Series 2025-03, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  2. Jörg Rieskamp & Jerome R. Busemeyer & Barbara A. Mellers, 2006. "Extending the Bounds of Rationality: Evidence and Theories of Preferential Choice," Journal of Economic Literature, American Economic Association, vol. 44(3), pages 631-661, September.
  3. Christopher Turansick, 2023. "Intertemporal Aggregation of Choice Data with Consumption Dependent Preferences," Papers 2302.05806, arXiv.org, revised Sep 2025.
  4. Mononen, Lasse, 2025. "On Preference for Simplicity and Probability Weighting," Center for Mathematical Economics Working Papers 748, Center for Mathematical Economics, Bielefeld University.
  5. Rehbeck, John, 2024. "A menu dependent Luce model with a numeraire," Journal of Mathematical Economics, Elsevier, vol. 110(C).
  6. John Hey, "undated". "Experiments and the Economics of Individual Decision Making Under Risk and Uncertainty," Discussion Papers 95/49, Department of Economics, University of York.
  7. Caliari, Daniele, 2023. "Rationality is not consistency," Discussion Papers, Research Unit: Economics of Change SP II 2023-304, WZB Berlin Social Science Center.
  8. Zhou, Jing, 2024. "Does correlation matter in probability matching? A laboratory investigation," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 876-894.
  9. Nakov, Anton & Petit, Borja & Costain, James, 2018. "Monetary policy implications of state-dependent prices and wages," CEPR Discussion Papers 13398, Centre for Economic Policy Research.
  10. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
  11. Mattsson, Lars-Goran & Weibull, Jorgen W., 2002. "Probabilistic choice and procedurally bounded rationality," Games and Economic Behavior, Elsevier, vol. 41(1), pages 61-78, October.
  12. Roy Allen & Paweł Dziewulski & John Rehbeck, 2024. "Revealed statistical consumer theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 823-847, May.
  13. Hey, John D. & Carbone, Enrica, 1995. "Stochastic choice with deterministic preferences: An experimental investigation," Economics Letters, Elsevier, vol. 47(2), pages 161-167, February.
  14. Dwenger, Nadja & Kübler, Dorothea & Weizsäcker, Georg, 2018. "Flipping a coin: Evidence from university applications," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 167, pages 240-250.
  15. Fu, Jingcheng & Zhang, Xing & Zhong, Songfa, 2025. "Hedging-based scoring rules for multiple-choice questions," Journal of Economic Behavior & Organization, Elsevier, vol. 237(C).
  16. Christopher P. Chambers & Yusufcan Masatlioglu & Christopher Turansick, 2025. "Revealed Social Networks," Papers 2501.02609, arXiv.org, revised Jun 2025.
  17. Yosuke Hashidate & Keisuke Yoshihara, 2021. "Stochastic Choice and Social Preferences: Inequity Aversion versus Shame Aversion," Working Papers e155, Tokyo Center for Economic Research.
  18. Thomas Dohmen & Georgios Gerasimou, 2024. "Convergence to Utility Maximization and the Indifference Hypothesis," Papers 2402.16538, arXiv.org, revised Dec 2025.
  19. Marley, A.A.J. & Swait, J., 2017. "Goal-based models for discrete choice analysis," Transportation Research Part B: Methodological, Elsevier, vol. 101(C), pages 72-88.
  20. Graham Loomes, 2005. "Modelling the Stochastic Component of Behaviour in Experiments: Some Issues for the Interpretation of Data," Experimental Economics, Springer;Economic Science Association, vol. 8(4), pages 301-323, December.
  21. Marina Agranov & Pietro Ortoleva, 2017. "Stochastic Choice and Preferences for Randomization," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 40-68.
  22. Manel Baucells & Antonio Villasís, 2010. "Stability of risk preferences and the reflection effect of prospect theory," Theory and Decision, Springer, vol. 68(1), pages 193-211, February.
  23. Qiu, Jianying, 2015. "Completing incomplete preferences," MPRA Paper 72933, University Library of Munich, Germany, revised 18 Jul 2016.
  24. Wilcox, Nathaniel T., 2011. "'Stochastically more risk averse:' A contextual theory of stochastic discrete choice under risk," Journal of Econometrics, Elsevier, vol. 162(1), pages 89-104, May.
  25. Pavlo Blavatskyy, 2012. "Probabilistic choice and stochastic dominance," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 59-83, May.
  26. Roy Allen & John Rehbeck, 2021. "A Generalization of Quantal Response Equilibrium via Perturbed Utility," Games, MDPI, vol. 12(1), pages 1-16, March.
  27. Dagsvik, John K., 2015. "Stochastic models for risky choices: A comparison of different axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 81-88.
  28. Pelosse, Yohan, 2011. "Equivalence of optimal noisy-ranking contests and Tullock contests," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 740-748.
  29. James Costain & Anton Nakov, 2019. "Logit Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 43-78, February.
  30. Vesna Prasnikar, 1993. "Binary Lottery Payoffs: Do They Control Risk Aversion?," Discussion Papers 1059, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  31. Wolitzky, Alexander, 2016. "Mechanism design with maxmin agents: theory and an application to bilateral trade," Theoretical Economics, Econometric Society, vol. 11(3), September.
  32. Vicky Henderson & David Hobson & Matthew Zeng, 2023. "Cautious stochastic choice, optimal stopping and deliberate randomization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 887-922, April.
  33. Wei Ma, 2023. "Random dual expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 293-315, February.
  34. Wakker, Peter P. & Yang, Jingni, 2021. "Concave/convex weighting and utility functions for risk: A new light on classical theorems," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 429-435.
  35. Thomas Dohmen & Georgios Gerasimou, 2025. "Learning to Maximize Ordinal and Expected Utility, and the Indifference Hypothesis," CRC TR 224 Discussion Paper Series crctr224_2025_687, University of Bonn and University of Mannheim, Germany.
  36. Shaowei Ke & Qi Zhang, 2020. "Randomization and Ambiguity Aversion," Econometrica, Econometric Society, vol. 88(3), pages 1159-1195, May.
  37. Blavatskyy, Pavlo R., 2008. "Stochastic utility theorem," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1049-1056, December.
  38. Carlos Alós-Ferrer & Michele Garagnani, 2022. "Strength of preference and decisions under risk," Journal of Risk and Uncertainty, Springer, vol. 64(3), pages 309-329, June.
  39. Heufer, Jan, 2013. "Quasiconcave preferences on the probability simplex: A nonparametric analysis," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 21-30.
  40. Emerson Melo, 2022. "On the uniqueness of quantal response equilibria and its application to network games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(3), pages 681-725, October.
  41. Paul Feldman & John Rehbeck, 2022. "Revealing a preference for mixtures: An experimental study of risk," Quantitative Economics, Econometric Society, vol. 13(2), pages 761-786, May.
  42. Heydari, Pedram, 2024. "Regret, responsibility, and randomization: A theory of stochastic choice," Journal of Economic Theory, Elsevier, vol. 217(C).
  43. Blavatskyy, Pavlo, 2018. "Fechner’s strong utility model for choice among n>2 alternatives: Risky lotteries, Savage acts, and intertemporal payoffs," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 75-82.
  44. Chew, Soo Hong & Miao, Bin & Shen, Qiang & Zhong, Songfa, 2022. "Multiple-switching behavior in choice-list elicitation of risk preference," Journal of Economic Theory, Elsevier, vol. 204(C).
  45. Xue Dong He & Sang Hu & Jan Obłój & Xun Yu Zhou, 2017. "Technical Note—Path-Dependent and Randomized Strategies in Barberis’ Casino Gambling Model," Operations Research, INFORMS, vol. 65(1), pages 97-103, February.
  46. John D. Hey, 2018. "Why We Should Not Be Silent About Noise," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 13, pages 309-329, World Scientific Publishing Co. Pte. Ltd..
  47. Yosuke Hashidate, 2018. "Preferences for Randomization and Anticipated Utility," CIRJE F-Series CIRJE-F-1083, CIRJE, Faculty of Economics, University of Tokyo.
  48. Duffy, Sean & Gussman, Steven & Smith, John, 2021. "Visual judgments of length in the economics laboratory: Are there brains in stochastic choice?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
  49. John K. Dagsvik, 1998. "Choice among Lotteries when Preferences are Stochastic," Discussion Papers 221, Statistics Norway, Research Department.
  50. Sopher & Narramore, 2000. "Stochastic Choice and Consistency in Decision Making Under Risk: An Experimental Study," Theory and Decision, Springer, vol. 48(4), pages 323-349, June.
  51. Evan M. Calford, 2026. "Randomization preference and the reversal of order axiom," Journal of Risk and Uncertainty, Springer, vol. 72(1), pages 111-135, February.
  52. Efe A. Ok & Gerelt Tserenjigmid, 2023. "Measuring Stochastic Rationality," Papers 2303.08202, arXiv.org, revised Dec 2023.
  53. Chambers, Christopher P. & Masatlioglu, Yusufcan & Turansick, Christopher, 2024. "Correlated choice," Theoretical Economics, Econometric Society, vol. 19(3), July.
    • Christopher P. Chambers & Yusufcan Masatlioglu & Christopher Turansick, 2021. "Correlated Choice," Papers 2103.05084, arXiv.org, revised Mar 2023.
  54. Dwenger, Nadja & Kübler, Dorothea & Weizsäcker, Georg, 2014. "Flipping a coin: Theory and evidence," Discussion Papers, Research Unit: Market Behavior SP II 2013-201r, WZB Berlin Social Science Center.
  55. Xue Dong He & Sang Hu & Jan Obłój & Xun Yu Zhou, 2017. "Technical Note—Path-Dependent and Randomized Strategies in Barberis’ Casino Gambling Model," Operations Research, INFORMS, vol. 65(1), pages 97-103, February.
  56. Suren Basov & Svetlana Danilkina & David Prentice, 2020. "When Does Variety Increase with Quality?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 56(3), pages 463-487, May.
  57. Qiu, Jianying, 2015. "Completing incomplete preferences," MPRA Paper 91692, University Library of Munich, Germany, revised 18 Jul 2016.
  58. Roy Allen & John Rehbeck, 2023. "Revealed stochastic choice with attributes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 91-112, January.
  59. Marina Agranov & Pietro Ortoleva, 2021. "Ranges of Randomization," Working Papers 2021-72, Princeton University. Economics Department..
  60. Kim, Duk Gyoo & Kim, Hee Chun, 2022. "Probability matching and strategic decision making," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 98(C).
  61. Ryan, Matthew, 2017. "Random binary choices that satisfy stochastic betweenness," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 176-184.
  62. Charles-Cadogan, G., 2018. "Probability interference in expected utility theory," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 163-175.
  63. Duffy, Sean & Smith, John, 2025. "Stochastic choice and imperfect judgments of line lengths: What is hiding in the noise?," Journal of Economic Psychology, Elsevier, vol. 106(C).
  64. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
    • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
  65. Liu Shi & Jianying Qiu & Jiangyan Li & Frank Bohn, 2024. "Consciously stochastic in preference reversals," Journal of Risk and Uncertainty, Springer, vol. 68(3), pages 255-297, June.
  66. Stephen L. Morgan, 2002. "Modeling Preparatory Commitment and Non-repeatable Decisions," Rationality and Society, , vol. 14(4), pages 387-429, November.
  67. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
  68. Pavlo Blavatskyy, 2021. "Probabilistic independence axiom," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 46(1), pages 21-34, March.
  69. James R. Bland, 2019. "Measuring and Comparing Two Kinds of Rationalizable Opportunity Cost in Mixture Models," Games, MDPI, vol. 11(1), pages 1-27, December.
  70. Allen, Roy & Dziewulski, Paweł & Rehbeck, John, 2022. "Making sense of monkey business: Re-examining tests of animal rationality," Journal of Economic Behavior & Organization, Elsevier, vol. 196(C), pages 220-228.
  71. Sara Arts & Qiyan Ong & Jianying Qiu, 2024. "Measuring decision confidence," Experimental Economics, Springer;Economic Science Association, vol. 27(3), pages 582-603, July.
  72. Fedor Sandomirskiy & Po Hyun Sung & Omer Tamuz & Ben Wincelberg, 2023. "A Separability Foundation for Random Coefficients Logit," Papers 2312.04827, arXiv.org, revised May 2026.
  73. James Costain, 2017. "Costly decisions and sequential bargaining," Working Papers 1729, Banco de España.
  74. Bin Miao & Songfa Zhong, 2018. "Probabilistic social preference: how Machina’s Mom randomizes her choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(1), pages 1-24, January.
  75. Sean Duffy & John Smith, 2025. "An economist and a psychologist form a line: What can imperfect perception of length tell us about stochastic choice?," Theory and Decision, Springer, vol. 99(3), pages 701-734, November.
  76. Yoram Halevy & David Walker-Jones & Lanny Zrill, 2023. "Difficult Decisions," Working Papers tecipa-753, University of Toronto, Department of Economics.
  77. Pavlo R. Blavatskyy, 2020. "Dual choice axiom and probabilistic choice," Journal of Risk and Uncertainty, Springer, vol. 61(1), pages 25-41, August.
  78. Mogens Fosgerau & John Rehbeck, 2023. "Nontransitive Preferences and Stochastic Rationalizability: A Behavioral Equivalence," Papers 2304.14631, arXiv.org.
  79. Heydari, Pedram, 2021. "Luce arbitrates: Stochastic resolution of inner conflicts," Games and Economic Behavior, Elsevier, vol. 126(C), pages 33-74.
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