IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2512.08348.html

On the existence of personal equilibria

Author

Listed:
  • Laurence Carassus
  • Mikl'os R'asonyi

Abstract

We consider an investor who, while maximizing his/her expected utility, also compares the outcome to a reference entity. We recall the notion of personal equilibrium and show that, in a multistep, generically incomplete financial market model such an equilibrium indeed exists, under appropriate technical assumptions.

Suggested Citation

  • Laurence Carassus & Mikl'os R'asonyi, 2025. "On the existence of personal equilibria," Papers 2512.08348, arXiv.org.
    • Handle: RePEc:arx:papers:2512.08348
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2512.08348
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Paolo Guasoni & Andrea Meireles‐Rodrigues, 2024. "Reference dependence and endogenous anchors," Mathematical Finance, Wiley Blackwell, vol. 34(3), pages 925-976, July.
    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. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    4. 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..
    5. 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.
    6. Laurence Carassus & Miklós Rásonyi, 2007. "Optimal Strategies and Utility-Based Prices Converge When Agents’ Preferences Do," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 102-117, February.
    7. Botond Koszegi & Matthew Rabin, 2009. "Reference-Dependent Consumption Plans," American Economic Review, American Economic Association, vol. 99(3), pages 909-936, June.
    8. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    9. 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.
    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. Meisner, Vincent & von Wangenheim, Jonas, 2019. "School Choice and Loss Aversion," Rationality and Competition Discussion Paper Series 208, CRC TRR 190 Rationality and Competition.
    2. Karle, Heiko & Schumacher, Heiner & Vølund, Rune, 2023. "Consumer loss aversion and scale-dependent psychological switching costs," Games and Economic Behavior, Elsevier, vol. 138(C), pages 214-237.
    3. Enrico G. De Giorgi & Thierry Post, 2011. "Loss Aversion with a State-Dependent Reference Point," Management Science, INFORMS, vol. 57(6), pages 1094-1110, June.
    4. Ivan Barreda-Tarrazona & Ainhoa Jaramillo-Gutierrez & Daniel Navarro-Martinez & Gerardo Sabater-Grande, 2014. "The role of forgone opportunities in decision making under risk," Journal of Risk and Uncertainty, Springer, vol. 49(2), pages 167-188, October.
    5. Jean-Michel Benkert, 2025. "Bilateral trade with loss-averse agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 79(2), pages 519-560, March.
    6. Katarína Danková & Hodaka Morita & Maroš Servátka & Le Zhang, 2022. "Fairness concerns and job assignment to positions with different surplus," Southern Economic Journal, John Wiley & Sons, vol. 88(4), pages 1490-1516, April.
    7. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    8. Meisner, Vincent & von Wangenheim, Jonas, 2023. "Loss aversion in strategy-proof school-choice mechanisms," Journal of Economic Theory, Elsevier, vol. 207(C).
    9. Wenhui Zhou & Dongmei Wang & Weixiang Huang & Pengfei Guo, 2021. "To Pool or Not to Pool? The Effect of Loss Aversion on Queue Configurations," Production and Operations Management, Production and Operations Management Society, vol. 30(11), pages 4258-4272, November.
    10. González-Jiménez, Víctor, 2024. "Incentive design for reference-dependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 493-518.
    11. Alessandra Cillo & Marco Bonetti & Giovanni Burro & Clelia Di Serio & Roberta De Filippis & Riccardo Maria Martoni, 2019. "Neurocognitive assessment in obsessive compulsive disorder patients: Adherence to behavioral decision models," PLOS ONE, Public Library of Science, vol. 14(2), pages 1-16, February.
    12. Florian Zimmermann, 2015. "Clumped or Piecewise? Evidence on Preferences for Information," Management Science, INFORMS, vol. 61(4), pages 740-753, April.
    13. Vincent Meisner & Jonas von Wangenheim, 2022. "Loss aversion in strategy-proof school-choice mechanisms," Papers 2207.14666, arXiv.org.
    14. Bernheim, B. Douglas & Sprenger, Charles, 2023. "On the empirical validity of cumulative prospect theory: A response to the Wakker commentaries," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 107(C).
    15. Avner Seror, 2026. "Decision Rules in Choice Under Risk," Papers 2601.02964, arXiv.org, revised Jan 2026.
    16. Wenner, Lukas M., 2015. "Expected prices as reference points—Theory and experiments," European Economic Review, Elsevier, vol. 75(C), pages 60-79.
    17. Macera, Rosario, 2018. "Intertemporal incentives under loss aversion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 551-594.
    18. Dato, Simon & Grunewald, Andreas & Müller, Daniel & Strack, Philipp, 2017. "Expectation-based loss aversion and strategic interaction," Games and Economic Behavior, Elsevier, vol. 104(C), pages 681-705.
    19. Georgalos, Konstantinos & Paya, Ivan & Peel, David, 2024. "The Kőszegi–Rabin expectations-based model and risk-apportionment tasks for elicitation of higher order risk preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 749-770.
    20. Mark Schneider & Robert Day, 2018. "Target-Adjusted Utility Functions and Expected-Utility Paradoxes," Management Science, INFORMS, vol. 64(1), pages 271-287, January.

    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:2512.08348. 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.