IDEAS home Printed from https://ideas.repec.org/p/bon/boncrc/crctr224_2025_687.html
   My bibliography  Save this paper

Learning to Maximize Ordinal and Expected Utility, and the Indifference Hypothesis

Author

Listed:
  • Thomas Dohmen
  • Georgios Gerasimou

Abstract

We ask if participants in a choice experiment with repeated presentation of the same menus and no feedback provision: (i) learn to behave in ways that are closer to the predictions of ordinal and expected utility theory under strict preferences; or (ii) exhibit overall behaviour that is consistent with utility theory under weak preferences. To answer these questions we design and implemented a free-choice lab experiment with 15 distinct menus. Each menu contained two, three and four lotteries with three monetary outcomes, and was shown five times. Subjects were not forced to make an active choice at any menu but could avoid/defer doing so at a positive expected cost. Among our 308 subjects from the UK and Germany, significantly more were ordinal- and expected-utility maximizers in their last 15 than in their first 15 identical decision problems. Around a quarter and a fifth of all subjects, respectively, decided in those modes throughout the experiment, with nearly half revealing non-trivial indifferences. A considerable overlap is found between those consistently rational individuals and the ones who satisfied core principles of random utility theory. Finally, choice consistency is positively correlated with cognitive ability, while subjects who learned to maximize utility were more cognitively able than those who did not. We discuss potential implications of our study’s novel set of findings.

Suggested Citation

  • 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.
  • Handle: RePEc:bon:boncrc:crctr224_2025_687
    as

    Download full text from publisher

    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp687
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Catherine C. Eckel & Philip J. Grossman, 2002. "Sex Differences and Statistical Stereotyping in Attitudes Toward Financial Risk," Monash Economics Working Papers archive-03, Monash University, Department of Economics.
    2. Thomas Dohmen & Armin Falk & David Huffman & Uwe Sunde, 2010. "Are Risk Aversion and Impatience Related to Cognitive Ability?," American Economic Review, American Economic Association, vol. 100(3), pages 1238-1260, June.
    3. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    4. Alós-Ferrer, Carlos & Fehr, Ernst & Netzer, Nick, 2021. "Time Will Tell: Recovering Preferences When Choices Are Noisy," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 129(6), pages 1828-1877.
    5. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    6. Dhar, Ravi, 1997. "Consumer Preference for a No-Choice Option," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(2), pages 215-231, September.
    7. Anke Becker & Thomas Deckers & Thomas Dohmen & Armin Falk & Fabian Kosse, 2012. "The Relationship Between Economic Preferences and Psychological Personality Measures," Annual Review of Economics, Annual Reviews, vol. 4(1), pages 453-478, July.
    8. Grimm, Veronika & Mengel, Friederike, 2011. "Let me sleep on it: Delay reduces rejection rates in ultimatum games," Economics Letters, Elsevier, vol. 111(2), pages 113-115, May.
    9. Gary Charness & Nir Chemaya & Dario Trujano-Ochoa, 2023. "Learning your own risk preferences," Journal of Risk and Uncertainty, Springer, vol. 67(1), pages 1-19, August.
    10. Federico Echenique & Taisuke Imai & Kota Saito, 2023. "Approximate Expected Utility Rationalization," Journal of the European Economic Association, European Economic Association, vol. 21(5), pages 1821-1864.
    11. Georgios Gerasimou, 2018. "Indecisiveness, Undesirability and Overload Revealed Through Rational Choice Deferral," Economic Journal, Royal Economic Society, vol. 128(614), pages 2450-2479, September.
    12. Andrew Caplin, 2025. "Data Engineering for Cognitive Economics," Journal of Economic Literature, American Economic Association, vol. 63(1), pages 164-196, March.
    13. David Gill & Victoria Prowse, 2016. "Cognitive Ability, Character Skills, and Learning to Play Equilibrium: A Level-k Analysis," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1619-1676.
    14. 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.
    15. Michael H. Birnbaum & Ulrich Schmidt, 2015. "The Impact of Learning by Thought on Violations of Independence and Coalescing," Decision Analysis, INFORMS, vol. 12(3), pages 144-152.
    16. John D. Hey, 2018. "Does Repetition Improve Consistency?," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 2, pages 13-62, World Scientific Publishing Co. Pte. Ltd..
    17. Zachary Breig & Paul Feldman, 2024. "Revealing risky mistakes through revisions," Journal of Risk and Uncertainty, Springer, vol. 68(3), pages 227-254, June.
    18. Robin Cubitt & Daniel Navarro-Martinez & Chris Starmer, 2015. "On preference imprecision," Journal of Risk and Uncertainty, Springer, vol. 50(1), pages 1-34, February.
    19. Carlos Alós-Ferrer & Ernst Fehr & Helga Fehr-Duda & Michele Garagnani, 2024. "Common ratio and common consequence effects arise from true preferences," ECON - Working Papers 459, Department of Economics - University of Zurich.
    20. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    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. Machina, Mark J, 1985. "Stochastic Choice Functions Generated from Deterministic Preferences over Lotteries," Economic Journal, Royal Economic Society, vol. 95(379), pages 575-594, September.
    23. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    24. Benjamin Scheibehenne & Rainer Greifeneder & Peter M. Todd, 2010. "Can There Ever Be Too Many Options? A Meta-Analytic Review of Choice Overload," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 37(3), pages 409-425, October.
    25. Charness, Gary & Chemaya, Nir, 2023. "Repeated experience and consistent risk preferences," Economics Letters, Elsevier, vol. 233(C).
    26. Christina McGranaghan & Kirby Nielsen & Ted O'Donoghue & Jason Somerville & Charles D. Sprenger, 2024. "Distinguishing Common Ratio Preferences from Common Ratio Effects Using Paired Valuation Tasks," American Economic Review, American Economic Association, vol. 114(2), pages 307-347, February.
    27. Ert, Eyal & Haruvy, Ernan, 2017. "Revisiting risk aversion: Can risk preferences change with experience?," Economics Letters, Elsevier, vol. 151(C), pages 91-95.
    28. Ben Gillen & Erik Snowberg & Leeat Yariv, 2019. "Experimenting with Measurement Error: Techniques with Applications to the Caltech Cohort Study," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1826-1863.
    29. Levon Barseghyan & Francesca Molinari, 2023. "Risk Preference Types, Limited Consideration, and Welfare," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(4), pages 1011-1029, October.
    30. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    31. John List & Todd Cherry, 2000. "Learning to Accept in Ultimatum Games: Evidence from an Experimental Design that Generates Low Offers," Experimental Economics, Springer;Economic Science Association, vol. 3(1), pages 11-29, June.
    32. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    33. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    34. Hannah Schildberg-Hörisch, 2018. "Are Risk Preferences Stable?," Journal of Economic Perspectives, American Economic Association, vol. 32(2), pages 135-154, Spring.
    35. Robert Slonim & Alvin E. Roth, 1998. "Learning in High Stakes Ultimatum Games: An Experiment in the Slovak Republic," Econometrica, Econometric Society, vol. 66(3), pages 569-596, May.
    36. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    37. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    38. Bock, Olaf & Baetge, Ingmar & Nicklisch, Andreas, 2014. "hroot: Hamburg Registration and Organization Online Tool," European Economic Review, Elsevier, vol. 71(C), pages 117-120.
    39. Eric Danan & Anthony Ziegelmeyer, 2006. "Are preferences complete? An experimental measurement of indecisiveness under risk," Papers on Strategic Interaction 2006-01, Max Planck Institute of Economics, Strategic Interaction Group.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Thomas Dohmen & Georgios Gerasimou, 2024. "Learning to Maximize Ordinal and Expected Utility, and the Indifference Hypothesis," Papers 2402.16538, arXiv.org, revised Apr 2025.
    2. 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.
    3. Pavlo Blavatskyy, 2018. "A second-generation disappointment aversion theory of decision making under risk," Theory and Decision, Springer, vol. 84(1), pages 29-60, January.
    4. 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.
    5. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
    6. 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).
    7. Levy, Haim & Levy, Moshe, 2002. "Experimental test of the prospect theory value function: A stochastic dominance approach," Organizational Behavior and Human Decision Processes, Elsevier, vol. 89(2), pages 1058-1081, November.
    8. Yoram Halevy & David Walker-Jones & Lanny Zrill, 2023. "Difficult Decisions," Working Papers tecipa-753, University of Toronto, Department of Economics.
    9. Sara Arts & Qiyan Ong & Jianying Qiu, 2024. "Measuring decision confidence," Experimental Economics, Springer;Economic Science Association, vol. 27(3), pages 582-603, July.
    10. Cettolin, Elena & Riedl, Arno, 2019. "Revealed preferences under uncertainty: Incomplete preferences and preferences for randomization," Journal of Economic Theory, Elsevier, vol. 181(C), pages 547-585.
    11. Mariam Raheem & Ain ul Momina, 2021. "Do Underlying Risk Preferences explain Individuals’ Cognitive Ability? Evidence from a Sample of Pakistani Students," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 26(1), pages 85-122, Jan-June.
    12. Caferra, Rocco & Morone, Andrea & Pierno, Donato, 2024. "From Measurements to Measures: Learning Risk Preferences under Different Risk Elicitation Methods," MPRA Paper 121590, University Library of Munich, Germany.
    13. Miguel A. Costa‐Gomes & Carlos Cueva & Georgios Gerasimou & Matúš Tejiščák, 2022. "Choice, deferral, and consistency," Quantitative Economics, Econometric Society, vol. 13(3), pages 1297-1318, July.
    14. Elias Bouacida, 2021. "Identifying Choice Correspondences," Working Papers 327800275, Lancaster University Management School, Economics Department.
    15. Holzmeister, Felix & Stefan, Matthias, 2019. "The Risk Elicitation Puzzle Revisited: Across-Methods (In)consistency?," OSF Preprints pj9u2, Center for Open Science.
    16. Ola Andersson & Håkan J. Holm & Jean-Robert Tyran & Erik Wengström, 2020. "Robust inference in risk elicitation tasks," Journal of Risk and Uncertainty, Springer, vol. 61(3), pages 195-209, December.
    17. Qiyan Ong & Jianying Qiu, 2023. "Paying for randomization and indecisiveness," Journal of Risk and Uncertainty, Springer, vol. 67(1), pages 45-72, August.
    18. Heydari, Pedram, 2024. "Regret, responsibility, and randomization: A theory of stochastic choice," Journal of Economic Theory, Elsevier, vol. 217(C).
    19. Lohse, Johannes & Rahal, Rima-Maria & Schulte-Mecklenbeck, Michael & Sofianos, Andis & Wollbrant, Conny, 2024. "Investigations of decision processes at the intersection of psychology and economics," Journal of Economic Psychology, Elsevier, vol. 103(C).
    20. Tomáš Jagelka, 2024. "Are Economists’ Preferences Psychologists’ Personality Traits? A Structural Approach," Journal of Political Economy, University of Chicago Press, vol. 132(3), pages 910-970.

    More about this item

    Keywords

    Ordinal utility; expected utility; learning; indifference; avoidance/deferral; cognitive ability.;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bon:boncrc:crctr224_2025_687. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CRC Office (email available below). General contact details of provider: https://www.crctr224.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.