IDEAS home Printed from https://ideas.repec.org/a/eee/jeborg/v219y2024icp381-403.html
   My bibliography  Save this article

Consideration sets and reference points in a dynamic bargaining game

Author

Listed:
  • Karagözoğlu, Emin
  • Keskin, Kerim

Abstract

We introduce the notion of limited consideration into a bilateral, infinite-horizon, alternating-offers bargaining game. Both agents have reference-dependent preferences, and their reference points are dynamically updated. An agent's current consideration set (or focus) is influenced by the last offer he rejected such that the most salient point in that consideration set becomes his current reference point. We provide an implicit characterization of stationary subgame perfect Nash equilibria in our model. Without resorting to asymmetric or incomplete information, we show that our bargaining game can produce delay and disagreement in equilibrium. In addition to analytical results on the disagreement conditions and the nature of agreements, we provide computational comparative statics on model parameters and study their impacts on delay.

Suggested Citation

  • Karagözoğlu, Emin & Keskin, Kerim, 2024. "Consideration sets and reference points in a dynamic bargaining game," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 381-403.
  • Handle: RePEc:eee:jeborg:v:219:y:2024:i:c:p:381-403
    DOI: 10.1016/j.jebo.2024.01.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167268124000374
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jebo.2024.01.031?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Matthew Backus & Thomas Blake & Steven Tadelis, 2019. "On the Empirical Content of Cheap-Talk Signaling: An Application to Bargaining," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1599-1628.
    3. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    4. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    5. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    6. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60(2), pages 151-151.
    7. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    8. Jonathan Shalev, 2000. "Loss aversion equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(2), pages 269-287.
    9. Emin Karagözoğlu & Arno Riedl, 2015. "Performance Information, Production Uncertainty, and Subjective Entitlements in Bargaining," Management Science, INFORMS, vol. 61(11), pages 2611-2626, November.
    10. Elena Reutskaja & Rosemarie Nagel & Colin F. Camerer & Antonio Rangel, 2011. "Search Dynamics in Consumer Choice under Time Pressure: An Eye-Tracking Study," American Economic Review, American Economic Association, vol. 101(2), pages 900-926, April.
    11. 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..
    12. Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
    13. Li, Duozhe, 2007. "Bargaining with history-dependent preferences," Journal of Economic Theory, Elsevier, vol. 136(1), pages 695-708, September.
    14. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    15. Colin F. Camerer & Gideon Nave & Alec Smith, 2019. "Dynamic Unstructured Bargaining with Private Information: Theory, Experiment, and Outcome Prediction via Machine Learning," Management Science, INFORMS, vol. 65(4), pages 1867-1890, April.
    16. Nitin Mehta & Surendra Rajiv & Kannan Srinivasan, 2003. "Price Uncertainty and Consumer Search: A Structural Model of Consideration Set Formation," Marketing Science, INFORMS, vol. 22(1), pages 58-84, June.
    17. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.
    18. Kfir Eliaz & Ran Spiegler, 2011. "Consideration Sets and Competitive Marketing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 235-262.
    19. Kerim Keskin, 2022. "Reference Dependence in Bargaining Models," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 87-107, Springer.
    20. Simon Gächter & Arno Riedl, 2005. "Moral Property Rights in Bargaining with Infeasible Claims," Management Science, INFORMS, vol. 51(2), pages 249-263, February.
    21. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    22. Fershtman Chaim & Seidmann Daniel J., 1993. "Deadline Effects and Inefficient Delay in Bargaining with Endogenous Commitment," Journal of Economic Theory, Elsevier, vol. 60(2), pages 306-321, August.
    23. Bolton, Gary E. & Karagözoğlu, Emin, 2016. "On the influence of hard leverage in a soft leverage bargaining game: The importance of credible claims," Games and Economic Behavior, Elsevier, vol. 99(C), pages 164-179.
    24. Hauser, John R & Wernerfelt, Birger, 1990. "An Evaluation Cost Model of Consideration Sets," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 16(4), pages 393-408, March.
    25. Tarık Kara & Emin Karagözoğlu & Elif Özcan-Tok, 2021. "Bargaining, Reference Points, and Limited Influence," Dynamic Games and Applications, Springer, vol. 11(2), pages 326-362, June.
    26. Nicholas C. Barberis, 2013. "Thirty Years of Prospect Theory in Economics: A Review and Assessment," Journal of Economic Perspectives, American Economic Association, vol. 27(1), pages 173-196, Winter.
    27. Henrik Kristensen & Tommy Gärling, 2000. "Anchor Points, Reference Points, and Counteroffers in Negotiations," Group Decision and Negotiation, Springer, vol. 9(6), pages 493-505, November.
    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. Tarık Kara & Emin Karagözoğlu & Elif Özcan-Tok, 2021. "Bargaining, Reference Points, and Limited Influence," Dynamic Games and Applications, Springer, vol. 11(2), pages 326-362, June.
    2. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.
    3. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    4. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    5. Khan, Abhimanyu, 2022. "Expected utility versus cumulative prospect theory in an evolutionary model of bargaining," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    6. Helmers, Christian & Krishnan, Pramila & Patnam, Manasa, 2019. "Attention and saliency on the internet: Evidence from an online recommendation system," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 216-242.
    7. Emin Karagözoğlu & Martin G. Kocher, 2019. "Bargaining under time pressure from deadlines," Experimental Economics, Springer;Economic Science Association, vol. 22(2), pages 419-440, June.
    8. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    9. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    10. Karagözoğlu, Emin & Keskin, Kerim, 2018. "Time-varying fairness concerns, delay, and disagreement in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 147(C), pages 115-128.
    11. Dietz, Simon & Venmans, Frank, 2019. "The endowment effect, discounting and the environment," Journal of Environmental Economics and Management, Elsevier, vol. 97(C), pages 67-91.
    12. Eduard Marinov, 2017. "The 2017 Nobel Prize in Economics," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 6, pages 117-159.
    13. Committee, Nobel Prize, 2017. "Richard H. Thaler: Integrating Economics with Psychology," Nobel Prize in Economics documents 2017-1, Nobel Prize Committee.
    14. Satakhun Kosavinta & Donyaprueth Krairit & Do Ba Khang, 2017. "Decision making in the pre-development stage of residential development," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 35(2), pages 160-183, March.
    15. Olapeju Comfort Ogunmokun & Oluwasoye P. Mafimisebi & Demola Obembe, 2023. "Prospect theory and bank credit risk decision-making behaviour: a systematic literature review and future research agenda," SN Business & Economics, Springer, vol. 3(4), pages 1-25, April.
    16. Alex Imas & Sally Sadoff & Anya Samek, 2017. "Do People Anticipate Loss Aversion?," Management Science, INFORMS, vol. 63(5), pages 1271-1284, May.
    17. Embrey, Matthew & Hyndman, Kyle & Riedl, Arno, 2021. "Bargaining with a residual claimant: An experimental study," Games and Economic Behavior, Elsevier, vol. 126(C), pages 335-354.
    18. 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.
    19. Kovach, Matthew & Suleymanov, Elchin, 2023. "Reference dependence and random attention," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 421-441.
    20. Takeuchi, Ai & Veszteg, Róbert F. & Kamijo, Yoshio & Funaki, Yukihiko, 2022. "Bargaining over a jointly produced pie: The effect of the production function on bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 134(C), pages 169-198.

    More about this item

    Keywords

    Bargaining; Consideration sets; Delay; Focusing; Reference dependence;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    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:eee:jeborg:v:219:y:2024:i:c:p:381-403. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jebo .

    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.