IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2105.12915.html
   My bibliography  Save this paper

Ordered Reference Dependent Choice

Author

Listed:
  • Xi Zhi Lim

Abstract

This paper studies how violations of structural assumptions like expected utility and exponential discounting can be connected to basic rationality violations, even though these assumptions are typically regarded as independent building blocks in decision theory. A reference-dependent generalization of behavioral postulates captures preference shifts in various choice domains. When reference points are fixed, canonical models hold; otherwise, reference-dependent preference parameters (e.g., CARA coefficients, discount factors) give rise to "non-standard" behavior. The framework allows us to study risk, time, and social preferences collectively, where seemingly independent anomalies are interconnected through the lens of reference-dependent choice.

Suggested Citation

  • Xi Zhi Lim, 2021. "Ordered Reference Dependent Choice," Papers 2105.12915, arXiv.org, revised Feb 2024.
    • Handle: RePEc:arx:papers:2105.12915
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2105.12915
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    2. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    3. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    4. Dillenberger, David, 2008. "Preferences for One-Shot Resolution of Uncertainty and Allais-Type Behavior," MPRA Paper 8342, University Library of Munich, Germany.
    5. Chew, S H & Epstein, Larry G & Segal, U, 1991. "Mixture Symmetry and Quadratic Utility," Econometrica, Econometric Society, vol. 59(1), pages 139-163, January.
    6. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    7. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    8. David Dillenberger, 2010. "Preferences for One‐Shot Resolution of Uncertainty and Allais‐Type Behavior," Econometrica, Econometric Society, vol. 78(6), pages 1973-2004, November.
    9. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    10. James C. Cox & John A. List & Michael Price & Vjollca Sadiraj & Anya Samek, 2016. "Moral Costs and Rational Choice: Theory and Experimental Evidence," Experimental Economics Center Working Paper Series 2016-02, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University, revised Aug 2019.
    11. John H. Kagel & Alvin E. Roth, 2016. "The Handbook of Experimental Economics, Volume 2," Economics Books, Princeton University Press, edition 1, volume 2, number 10874.
    12. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    13. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    14. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    15. John A. List, 2007. "On the Interpretation of Giving in Dictator Games," Journal of Political Economy, University of Chicago Press, vol. 115(3), pages 482-493.
    16. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    17. Nelson, William Jr., 2002. "Equity or intention: it is the thought that counts," Journal of Economic Behavior & Organization, Elsevier, vol. 48(4), pages 423-430, August.
    18. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    19. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    20. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064.
    21. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    22. Sutter, Matthias, 2007. "Outcomes versus intentions: On the nature of fair behavior and its development with age," Journal of Economic Psychology, Elsevier, vol. 28(1), pages 69-78, January.
    23. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314.
    24. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    25. Daniel Kahneman & Jack L. Knetsch & Richard H. Thaler, 1991. "Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter.
    26. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
    27. David J. Freeman, 2021. "Revealing Naïveté and Sophistication from Procrastination and Preproperation," American Economic Journal: Microeconomics, American Economic Association, vol. 13(2), pages 402-438, May.
    28. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    29. 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.
    30. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105.
    31. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    32. Oleg Korenok & Edward Millner & Laura Razzolini, 2014. "Taking, giving, and impure altruism in dictator games," Experimental Economics, Springer;Economic Science Association, vol. 17(3), pages 488-500, September.
    33. 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.
    34. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2015. "Revealed (P)Reference Theory," American Economic Review, American Economic Association, vol. 105(1), pages 299-321, January.
    35. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    36. Ortoleva, Pietro, 2010. "Status quo bias, multiple priors and uncertainty aversion," Games and Economic Behavior, Elsevier, vol. 69(2), pages 411-424, July.
    37. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    38. James Andreoni & Charles Sprenger, 2011. "Uncertainty Equivalents: Testing the Limits of the Independence Axiom," NBER Working Papers 17342, National Bureau of Economic Research, Inc.
    39. Fehr, Ernst & Schmidt, Klaus M., 2006. "The Economics of Fairness, Reciprocity and Altruism - Experimental Evidence and New Theories," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 8, pages 615-691, Elsevier.
    40. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    41. Nicholas Bardsley, 2008. "Dictator game giving: altruism or artefact?," Experimental Economics, Springer;Economic Science Association, vol. 11(2), pages 122-133, June.
    42. Yusufcan Masatlioglu & Collin Raymond, 2016. "A Behavioral Analysis of Stochastic Reference Dependence," American Economic Review, American Economic Association, vol. 106(9), pages 2760-2782, September.
    43. Benhabib, Jess & Bisin, Alberto & Schotter, Andrew, 2010. "Present-bias, quasi-hyperbolic discounting, and fixed costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 205-223, July.
    44. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165.
    45. Jason Dana & Roberto Weber & Jason Kuang, 2007. "Exploiting moral wiggle room: experiments demonstrating an illusory preference for fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 67-80, October.
    46. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    47. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    48. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    49. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    50. Fishburn, Peter C., 1983. "Transitive measurable utility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 293-317, December.
    51. Chew, S. H. & Epstein, L. G., 1989. "A unifying approach to axiomatic non-expected utility theories," Journal of Economic Theory, Elsevier, vol. 49(2), pages 207-240, December.
    52. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    53. Han Bleichrodt & Ulrich Schmidt, 2002. "A Context-Dependent Model of the Gambling Effect," Management Science, INFORMS, vol. 48(6), pages 802-812, June.
    54. 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.
    55. Kaisa Herne, 1999. "The Effects of Decoy Gambles on Individual Choice," Experimental Economics, Springer;Economic Science Association, vol. 2(1), pages 31-40, August.
    56. Graham Loomes & Robert Sugden, 1986. "Disappointment and Dynamic Consistency in Choice under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 271-282.
    57. Dean, Mark & Kıbrıs, Özgür & Masatlioglu, Yusufcan, 2017. "Limited attention and status quo bias," Journal of Economic Theory, Elsevier, vol. 169(C), pages 93-127.
    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. repec:cup:judgdm:v:16:y:2021:i:6:p:1324-1369 is not listed on IDEAS
    2. Sudeep Bhatia & Graham Loomes & Daniel Read, 2021. "Establishing the laws of preferential choice behavior," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 16(6), pages 1324-1369, November.
    3. Upravitelev, A., 2023. "Neoclassical roots of behavioral economics," Journal of the New Economic Association, New Economic Association, vol. 58(1), pages 110-140.
    4. Belianin, A., 2017. "Face to Face to Human Being: Achievements and Challenges of Behavioral Economics," Journal of the New Economic Association, New Economic Association, vol. 34(2), pages 166-175.
    5. Dorian Jullien, 2016. "Under Uncertainty, Over Time and Regarding Other People: Rationality in 3D," GREDEG Working Papers 2016-20, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    6. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Dorian Jullien, 2018. "Under Risk, Over Time, Regarding Other People: Language and Rationality within Three Dimensions," Research in the History of Economic Thought and Methodology, in: Including a Symposium on Latin American Monetary Thought: Two Centuries in Search of Originality, volume 36, pages 119-155, Emerald Group Publishing Limited.
    8. Zhihua Li & Songfa Zhong, 2023. "Reference Dependence in Intertemporal Preference," Management Science, INFORMS, vol. 69(1), pages 475-490, January.
    9. Breitmoser, Yves & Vorjohann, Pauline, 2018. "Welfare-Based Altruism," Rationality and Competition Discussion Paper Series 89, CRC TRR 190 Rationality and Competition.
    10. Breitmoser, Yves & Vorjohann, Pauline, 2022. "Fairness-based Altruism," Center for Mathematical Economics Working Papers 666, Center for Mathematical Economics, Bielefeld University.
    11. Ivan Moscati, 2022. "Behavioral and heuristic models are as-if models too — and that’s ok," BAFFI CAREFIN Working Papers 22177, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
    12. Daniel R. Burghart, 2020. "The two faces of independence: betweenness and homotheticity," Theory and Decision, Springer, vol. 88(4), pages 567-593, May.
    13. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    14. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    15. Juan Sebastián Lleras & Evan Piermont & Richard Svoboda, 2019. "Asymmetric gain–loss reference dependence and attitudes toward uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(3), pages 669-699, October.
    16. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    17. Thomas Epper & Helga Fehr-Duda, 2012. "The missing link: unifying risk taking and time discounting," ECON - Working Papers 096, Department of Economics - University of Zurich, revised Oct 2018.
    18. Pierpaolo Battigalli & Martin Dufwenberg, 2022. "Belief-Dependent Motivations and Psychological Game Theory," Journal of Economic Literature, American Economic Association, vol. 60(3), pages 833-882, September.
    19. Pierpaolo Battigalli & Martin Dufwenberg & Alec Smith, 2015. "Frustration and Anger in Games," Working Papers 539, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    20. Simone Cerreia‐Vioglio & David Dillenberger & Pietro Ortoleva, 2015. "Cautious Expected Utility and the Certainty Effect," Econometrica, Econometric Society, vol. 83, pages 693-728, March.
    21. Battigalli, Pierpaolo & Dufwenberg, Martin & Smith, Alec, 2019. "Frustration, aggression, and anger in leader-follower games," Games and Economic Behavior, Elsevier, vol. 117(C), pages 15-39.

    More about this item

    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:arx:papers:2105.12915. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.