IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v63y2015i1p198-211.html
   My bibliography  Save this article

A Tailor-Made Test of Intransitive Choice

Author

Listed:
  • Aurélien Baillon

    (Erasmus School of Economics, PO Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Han Bleichrodt

    (Erasmus School of Economics, PO Box 1738, 3000 DR Rotterdam, The Netherlands)

  • Alessandra Cillo

    (Bocconi University and IGIER, 20136 Milan, Italy)

Abstract

This paper reports a new test of intransitive choice using individual measurements of regret- and similarity-based intransitive models of choice under uncertainty. Our test is tailor-made and uses subject-specific stimuli. Despite these features, we observed only a few intransitivities. A possible explanation for the poor predictive performance of intransitive choice models is that they only allow for interactions between acts. They exclude within-act interactions by retaining the assumption that preferences are separable over states of nature. Prospect theory, which relaxes separability but retains transitivity, predicted choices better. Our data suggest that descriptively realistic models must allow for within-act interactions but may retain transitivity.

Suggested Citation

  • Aurélien Baillon & Han Bleichrodt & Alessandra Cillo, 2015. "A Tailor-Made Test of Intransitive Choice," Operations Research, INFORMS, vol. 63(1), pages 198-211, February.
  • Handle: RePEc:inm:oropre:v:63:y:2015:i:1:p:198-211
    DOI: 10.1287/opre.2014.1329
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.2014.1329
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.2014.1329?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Loomes, Graham & Moffatt, Peter G & Sugden, Robert, 2002. "A Microeconometric Test of Alternative Stochastic Theories of Risky Choice," Journal of Risk and Uncertainty, Springer, vol. 24(2), pages 103-130, March.
    2. Starmer, Chris & Sugden, Robert, 1993. "Testing for Juxtaposition and Event-Splitting Effects," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 235-254, June.
    3. Birnbaum, Michael H. & Gutierrez, Roman J., 2007. "Testing for intransitivity of preferences predicted by a lexicographic semi-order," Organizational Behavior and Human Decision Processes, Elsevier, vol. 104(1), pages 96-112, September.
    4. Han Bleichrodt & Alessandra Cillo & Enrico Diecidue, 2010. "A Quantitative Measurement of Regret Theory," Management Science, INFORMS, vol. 56(1), pages 161-175, January.
    5. Bouyssou, Denis, 1986. "Some remarks on the notion of compensation in MCDM," European Journal of Operational Research, Elsevier, vol. 26(1), pages 150-160, July.
    6. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    7. Caspar Chorus, 2011. "Random Regret Minimization: An Overview of Model Properties and Empirical Evidence," Transport Reviews, Taylor & Francis Journals, vol. 32(1), pages 75-92, July.
    8. David E. Bell, 1983. "Risk Premiums for Decision Regret," Management Science, INFORMS, vol. 29(10), pages 1156-1166, October.
    9. Iverson, G. & Falmagne, J. -C., 1985. "Statistical issues in measurement," Mathematical Social Sciences, Elsevier, vol. 10(2), pages 131-153, October.
    10. 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..
    11. Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-439, March.
    12. Humphrey, Steven J, 1995. "Regret Aversion or Event-Splitting Effects? More Evidence under Risk and Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 11(3), pages 263-274, December.
    13. Michael Birnbaum & Ulrich Schmidt, 2008. "An experimental investigation of violations of transitivity in choice under uncertainty," Journal of Risk and Uncertainty, Springer, vol. 37(1), pages 77-91, August.
    14. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    15. Swait, Joffre & Adamowicz, Wiktor, 2001. "The Influence of Task Complexity on Consumer Choice: A Latent Class Model of Decision Strategy Switching," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 28(1), pages 135-148, June.
    16. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
    17. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    18. Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
    19. 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.
    20. Jonathan W. Leland, 1998. "Similarity Judgments in Choice Under Uncertainty: A Reinterpretation of the Predictions of Regret Theory," Management Science, INFORMS, vol. 44(5), pages 659-672, May.
    21. Starmer, Chris & Sugden, Robert, 1998. "Testing Alternative Explanations of Cyclical Choices," Economica, London School of Economics and Political Science, vol. 65(259), pages 347-361, August.
    22. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    23. Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
    24. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    25. Rubinstein, Ariel, 1988. "Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?)," Journal of Economic Theory, Elsevier, vol. 46(1), pages 145-153, October.
    26. Sylvie M. C. van Osch & Wilbert B. van den Hout & Anne M. Stiggelbout, 2006. "Exploring the Reference Point in Prospect Theory: Gambles for Length of Life," Medical Decision Making, , vol. 26(4), pages 338-346, July.
    27. 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.
    28. Fishburn, Peter C., 1990. "Skew symmetric additive utility with finite states," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 103-115, April.
    29. Leland, Jonathan W, 1994. "Generalized Similarity Judgments: An Alternative Explanation for Choice Anomalies," Journal of Risk and Uncertainty, Springer, vol. 9(2), pages 151-172, October.
    30. Humphrey, Steven J, 2001. "Are Event-Splitting Effects Actually Boundary Effects?," Journal of Risk and Uncertainty, Springer, vol. 22(1), pages 79-93, January.
    31. John C. Hershey & Paul J. H. Schoemaker, 1985. "Probability Versus Certainty Equivalence Methods in Utility Measurement: Are they Equivalent?," Management Science, INFORMS, vol. 31(10), pages 1213-1231, October.
    32. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    33. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
    34. Michael Birnbaum & Ulrich Schmidt, 2010. "Testing transitivity in choice under risk," Theory and Decision, Springer, vol. 69(4), pages 599-614, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Boeri, Marco & Scarpa, Riccardo & Chorus, Caspar G., 2014. "Stated choices and benefit estimates in the context of traffic calming schemes: Utility maximization, regret minimization, or both?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 61(C), pages 121-135.
    2. Beccacece, Francesca & Borgonovo, Emanuele & Buzzard, Greg & Cillo, Alessandra & Zionts, Stanley, 2015. "Elicitation of multiattribute value functions through high dimensional model representations: Monotonicity and interactions," European Journal of Operational Research, Elsevier, vol. 246(2), pages 517-527.
    3. Michael H. Birnbaum & Lucy Wan, 2020. "MARTER: Markov True and Error model of drifting parameters," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 15(1), pages 47-73, January.
    4. Joaquín Gómez Miñambres & Mark Schneider, 2019. "Carrots and Sticks: Optimal Contracting with Skewness Preference and Ambiguity Aversion," Working Papers 19-02, Chapman University, Economic Science Institute.
    5. Mark Schneider, 2019. "A Bias Aggregation Theorem," Working Papers 19-03, Chapman University, Economic Science Institute.
    6. Jeeva Somasundaram & Enrico Diecidue, 2017. "Regret theory and risk attitudes," Journal of Risk and Uncertainty, Springer, vol. 55(2), pages 147-175, December.
    7. Florian H. Schneider & Martin Schonger, 2019. "An Experimental Test of the Anscombe–Aumann Monotonicity Axiom," Management Science, INFORMS, vol. 65(4), pages 1667-1677, April.
    8. Mark Schneider, 2016. "Dual Process Utility Theory: A Model of Decisions Under Risk and Over Time," Working Papers 16-23, Chapman University, Economic Science Institute.
    9. Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.
    10. Francesca Beccacece & Emanuele Borgonovo & Greg Buzzard & Alessandra Cillo & Stanley Zionts, 2013. "Elicitation of Multiattribute Value Functions through High Dimensional Model Representations," Working Papers 495, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    11. repec:cup:judgdm:v:13:y:2018:i:3:p:217-236 is not listed on IDEAS
    12. repec:cup:judgdm:v:15:y:2020:i:1:p:47-73 is not listed on IDEAS
    13. Mark Schneider, 2018. "A Dual System Model of Risk and Time Preferences," Working Papers 18-18, Chapman University, Economic Science Institute.
    14. David J. Butler & Ganna Pogrebna, 2018. "Predictably intransitive preferences," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(3), pages 217-236, May.

    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. Han Bleichrodt & Alessandra Cillo & Enrico Diecidue, 2010. "A Quantitative Measurement of Regret Theory," Management Science, INFORMS, vol. 56(1), pages 161-175, January.
    2. Han Bleichrodt & Peter P. Wakker, 2015. "Regret Theory: A Bold Alternative to the Alternatives," Economic Journal, Royal Economic Society, vol. 0(583), pages 493-532, March.
    3. Michael Birnbaum & Ulrich Schmidt, 2008. "An experimental investigation of violations of transitivity in choice under uncertainty," Journal of Risk and Uncertainty, Springer, vol. 37(1), pages 77-91, August.
    4. Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.
    5. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    6. Adrian Bruhin & Maha Manai & Luís Santos-Pinto, 2022. "Risk and rationality: The relative importance of probability weighting and choice set dependence," Journal of Risk and Uncertainty, Springer, vol. 65(2), pages 139-184, October.
    7. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    8. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    9. 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.
    10. Ostermair, Christoph, 2022. "An experimental investigation of the Allais paradox with subjective probabilities and correlated outcomes," Journal of Economic Psychology, Elsevier, vol. 93(C).
    11. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    12. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    13. Kpegli, Yao Thibaut & Corgnet, Brice & Zylbersztejn, Adam, 2023. "All at once! A comprehensive and tractable semi-parametric method to elicit prospect theory components," Journal of Mathematical Economics, Elsevier, vol. 104(C).
    14. Attema, Arthur E. & Brouwer, Werner B.F. & l’Haridon, Olivier, 2013. "Prospect theory in the health domain: A quantitative assessment," Journal of Health Economics, Elsevier, vol. 32(6), pages 1057-1065.
    15. Birnbaum, Michael H. & Gutierrez, Roman J., 2007. "Testing for intransitivity of preferences predicted by a lexicographic semi-order," Organizational Behavior and Human Decision Processes, Elsevier, vol. 104(1), pages 96-112, September.
    16. Gijs van de Kuilen & Peter P. Wakker, 2011. "The Midweight Method to Measure Attitudes Toward Risk and Ambiguity," Management Science, INFORMS, vol. 57(3), pages 582-598, March.
    17. Herweg, Fabian & Müller, Daniel, 2021. "A comparison of regret theory and salience theory for decisions under risk," Journal of Economic Theory, Elsevier, vol. 193(C).
    18. Amélie Vrijdags, 2010. "An experimental investigation of transitivity in set ranking," Theory and Decision, Springer, vol. 68(1), pages 213-232, February.
    19. Michael H. Birnbaum & Ulrich Schmidt & Miriam D. Schneider, 2017. "Testing independence conditions in the presence of errors and splitting effects," Journal of Risk and Uncertainty, Springer, vol. 54(1), pages 61-85, February.
    20. Birnbaum, Michael H. & Schmidt, Ulrich, 2006. "Empirical Tests of Intransitivity Predicted by Models of Risky Choice," Economics Working Papers 2006-10, Christian-Albrechts-University of Kiel, Department of Economics.

    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:inm:oropre:v:63:y:2015:i:1:p:198-211. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.