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Regret theory: A new foundation

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  • Diecidue, Enrico
  • Somasundaram, Jeeva

Abstract

We present a new behavioral foundation for regret theory. The central axiom of this foundation — trade-off consistency — renders regret theory observable at the individual level and makes our foundation consistent with a recently introduced empirical and quantitative measurement method. Our behavioral foundation allows deriving a continuous regret theory representation and separating utility from regret. The axioms in our behavioral foundation clarify that regret theory minimally deviates from expected utility by relaxing transitivity only.

Suggested Citation

  • Diecidue, Enrico & Somasundaram, Jeeva, 2017. "Regret theory: A new foundation," Journal of Economic Theory, Elsevier, vol. 172(C), pages 88-119.
    • Handle: RePEc:eee:jetheo:v:172:y:2017:i:c:p:88-119
    DOI: 10.1016/j.jet.2017.08.006
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    as
    1. , & ,, 2011. "Transitive regret," Theoretical Economics, Econometric Society, vol. 6(1), January.
    2. Han Bleichrodt & Alessandra Cillo & Enrico Diecidue, 2010. "A Quantitative Measurement of Regret Theory," Management Science, INFORMS, vol. 56(1), pages 161-175, January.
    3. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    4. Fishburn, Peter C., 1989. "Non-transitive measurable utility for decision under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 187-207, April.
    5. Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
    6. Karni, Edi, 2011. "Continuity, completeness and the definition of weak preferences," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 123-125, September.
    7. Fishburn, Peter C & LaValle, Irving H, 1988. "Context-Dependent Choice with Nonlinear and Nontransitive Preferences," Econometrica, Econometric Society, vol. 56(5), pages 1221-1239, September.
    8. David E. Bell, 1983. "Risk Premiums for Decision Regret," Management Science, INFORMS, vol. 29(10), pages 1156-1166, October.
    9. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    10. Smith, Richard David, 1996. "Is Regret Theory an alternative basis for estimating the value of healthcare interventions?," Health Policy, Elsevier, vol. 37(2), pages 105-115, August.
    11. Sugden Robert, 1993. "An Axiomatic Foundation for Regret Theory," Journal of Economic Theory, Elsevier, vol. 60(1), pages 159-180, June.
    12. Hayashi, Takashi, 2008. "Regret aversion and opportunity dependence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 242-268, March.
    13. Tserenjigmid, Gerelt, 2015. "Theory of decisions by intra-dimensional comparisons," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 326-338.
    14. 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..
    15. Aurélien Baillon & Han Bleichrodt & Alessandra Cillo, 2015. "A Tailor-Made Test of Intransitive Choice," Operations Research, INFORMS, vol. 63(1), pages 198-211, February.
    16. Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-439, March.
    17. Schmeidler, David, 1971. "A Condition for the Completeness of Partial Preference Relations," Econometrica, Econometric Society, vol. 39(2), pages 403-404, March.
    18. Larrick, Richard P. & Boles, Terry L., 1995. "Avoiding Regret in Decisions with Feedback: A Negotiation Example," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(1), pages 87-97, July.
    19. 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.
    20. Richard Engelbrecht-Wiggans & Elena Katok, 2008. "Regret and Feedback Information in First-Price Sealed-Bid Auctions," Management Science, INFORMS, vol. 54(4), pages 808-819, April.
    21. Quiggin, John, 1994. "Regret Theory with General Choice Sets," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 153-165, March.
    22. Javad Nasiry & Ioana Popescu, 2012. "Advance Selling When Consumers Regret," Management Science, INFORMS, vol. 58(6), pages 1160-1177, June.
    23. Fishburn, P. C., 1984. "Dominance in SSB utility theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 130-148, October.
    24. 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.
    25. Dubra, Juan, 2011. "Continuity and completeness under risk," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 80-81, January.
    26. 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.
    27. 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.
    28. Zeelenberg, M., 1999. "Anticipated regret, expected feedback and behavioral decision-making," Other publications TiSEM 38371d1b-31fd-45b0-860f-b, Tilburg University, School of Economics and Management.
    29. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2012. "Social Decision Theory: Choosing within and between Groups," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1591-1636.
    30. Todd Sarver, 2008. "Anticipating Regret: Why Fewer Options May Be Better," Econometrica, Econometric Society, vol. 76(2), pages 263-305, March.
    31. Fishburn, Peter C., 1990. "Continuous nontransitive additive conjoint measurement," Mathematical Social Sciences, Elsevier, vol. 20(2), pages 165-193, October.
    32. 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.
    33. Veronika Köbberling & Peter P. Wakker, 2003. "Preference Foundations for Nonexpected Utility: A Generalized and Simplified Technique," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 395-423, August.
    34. Enrico Diecidue & Nils Rudi & Wenjie Tang, 2012. "Dynamic Purchase Decisions Under Regret: Price and Availability," Decision Analysis, INFORMS, vol. 9(1), pages 22-30, March.
    35. Jörg Stoye, 2011. "Statistical decisions under ambiguity," Theory and Decision, Springer, vol. 70(2), pages 129-148, February.
    36. Michenaud, Sébastien & Solnik, Bruno, 2008. "Applying regret theory to investment choices: Currency hedging decisions," Journal of International Money and Finance, Elsevier, vol. 27(5), pages 677-694, September.
    37. Loomes, Graham & Sugden, Robert, 1983. "A Rationale for Preference Reversal," American Economic Review, American Economic Association, vol. 73(3), pages 428-432, June.
    38. Georgia Perakis & Guillaume Roels, 2008. "Regret in the Newsvendor Model with Partial Information," Operations Research, INFORMS, vol. 56(1), pages 188-203, February.
    39. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    40. Veronika K–bberling & Peter P. Wakker, 2004. "A Simple Tool for Qualitatively Testing, Quantitatively Measuring, and Normatively Justifying Savage's Subjective Expected Utility," Journal of Risk and Uncertainty, Springer, vol. 28(2), pages 135-145, March.
    41. 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.
    42. Emel Filiz-Ozbay & Erkut Y. Ozbay, 2007. "Auctions with Anticipated Regret: Theory and Experiment," American Economic Review, American Economic Association, vol. 97(4), pages 1407-1418, September.
    43. Alon, Shiri & Schmeidler, David, 2014. "Purely subjective Maxmin Expected Utility," Journal of Economic Theory, Elsevier, vol. 152(C), pages 382-412.
    44. Michael Braun & Alexander Muermann, 2004. "The Impact of Regret on the Demand for Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(4), pages 737-767, December.
    45. 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.
    46. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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    More about this item

    Keywords

    Regret theory; Trade-off consistency; Expected utility; Transitivity;
    All these keywords.

    JEL classification:

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

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