IDEAS home Printed from https://ideas.repec.org/a/kap/jrisku/v63y2021i3d10.1007_s11166-021-09367-4.html
   My bibliography  Save this article

Intransitivity in the small and in the large

Author

Listed:
  • Sushil Bikhchandani

    (UCLA Anderson School of Management)

  • Uzi Segal

    (Boston College)

Abstract

We propose a regret-based model that allows the separation of attitudes towards transitivity on triples of random variables that are close to each other and attitudes towards transitivity on triples that are far apart. This enables a theoretical reinterpretation of evidence related to intransitive behavior in the laboratory. When viewed through this paper’s analysis, the experimental evidence need not imply intransitive behavior for large risky decisions such as investment choices and insurance.

Suggested Citation

  • Sushil Bikhchandani & Uzi Segal, 2021. "Intransitivity in the small and in the large," Journal of Risk and Uncertainty, Springer, vol. 63(3), pages 257-273, December.
  • Handle: RePEc:kap:jrisku:v:63:y:2021:i:3:d:10.1007_s11166-021-09367-4
    DOI: 10.1007/s11166-021-09367-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11166-021-09367-4
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11166-021-09367-4?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
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fishburn, Peter C., 1989. "Non-transitive measurable utility for decision under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 187-207, April.
    2. 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..
    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. Nishimura, Hiroki, 2018. "The transitive core: inference of welfare from nontransitive preference relations," Theoretical Economics, Econometric Society, vol. 13(2), May.
    5. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, October.
    6. 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..
    7. Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-439, March.
    8. Grether, David M & Plott, Charles R, 1979. "Economic Theory of Choice and the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 69(4), pages 623-638, September.
    9. Tserenjigmid, Gerelt, 2015. "Theory of decisions by intra-dimensional comparisons," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 326-338.
    10. Bikhchandani, Sushil & Segal, Uzi, 2014. "Transitive regret over statistically independent lotteries," Journal of Economic Theory, Elsevier, vol. 152(C), pages 237-248.
    11. Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
    12. Fan, Chinn-Ping, 2002. "Allais paradox in the small," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 411-421, November.
    13. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    14. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    15. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    16. 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.
    17. Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.
    18. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    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. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    2. Moshe Levy, 2022. "An evolutionary explanation of the Allais paradox," Journal of Evolutionary Economics, Springer, vol. 32(5), pages 1545-1574, November.
    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. Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.
    5. Elif Incekara-Hafalir & Eungsik Kim & Jack D. Stecher, 2021. "Is the Allais paradox due to appeal of certainty or aversion to zero?," Experimental Economics, Springer;Economic Science Association, vol. 24(3), pages 751-771, September.
    6. Zvi Safra & Uzi Segal, 2005. "Are Universal Preferences Possible? Calibration Results for Non-Expected Utility Theories," Boston College Working Papers in Economics 633, Boston College Department of Economics.
    7. Kobi Kriesler & Shmuel Nitzan, 2009. "Framing-based Choice: A Model of Decision-making Under Risk," Korean Economic Review, Korean Economic Association, vol. 25, pages 65-89.
    8. Zheng, Jiakun, 2021. "Willingness to pay for reductions in health risks under anticipated regret," Journal of Health Economics, Elsevier, vol. 78(C).
    9. Marc Willinger, 1990. "La rénovation des fondements de l'utilité et du risque," Revue Économique, Programme National Persée, vol. 41(1), pages 5-48.
    10. Gaudeul, Alexia, 2009. "A (micro) course in microeconomic theory for MSc students," MPRA Paper 15388, University Library of Munich, Germany.
    11. Buschena, David E. & Zilberman, David, 1992. "Similarity of Choices and the Performance of the Expected Utility Approach: Empirical Results," 1992 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk Meeting, March 22-25, 1992, Orlando, Florida 307868, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    12. 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).
    13. Uri Gneezy & John A. List & George Wu, 2006. "The Uncertainty Effect: When a Risky Prospect is Valued Less than its Worst Possible Outcome," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1283-1309.
    14. 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.
    15. Pavlo Blavatskyy, 2007. "Stochastic expected utility theory," Journal of Risk and Uncertainty, Springer, vol. 34(3), pages 259-286, June.
    16. Steffen Huck & Wieland Müller, 2012. "Allais for all: Revisiting the paradox in a large representative sample," Journal of Risk and Uncertainty, Springer, vol. 44(3), pages 261-293, June.
    17. Huck, S. & Müller, W., 2007. "Allais for All : Revisiting the Paradox," Other publications TiSEM 07a8abb4-e971-4b54-83d2-f, Tilburg University, School of Economics and Management.
    18. 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.
    19. Kircher, Philipp & Sandroni, Alvaro & Ludwig, Sandra, 2009. "Fairness: A Critique to the Utilitarian Approach," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 288, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    20. Jiakun Zheng, 2021. "Willingness to pay for reductions in health risks under anticipated regret," Post-Print hal-04227414, HAL.

    More about this item

    Keywords

    Intransitivity; Regret; Local preferences; Preference reversal;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:kap:jrisku:v:63:y:2021:i:3:d:10.1007_s11166-021-09367-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.