IDEAS home Printed from https://ideas.repec.org/a/spr/jesaex/v10y2024i2d10.1007_s40881-024-00174-6.html
   My bibliography  Save this article

Discounting in finite-time bargaining experiments

Author

Listed:
  • Tom-Reiel Heggedal

    (BI Norwegian Business School)

  • Thomas McKay

    (BI Norwegian Business School)

Abstract

This paper examines the impact of different ways of inducing discounting in alternating-offer bargaining games in the lab. We examine this by following the framework of Ochs and Roth (Am Econ Rev, pp. 355–384, 1989) and test whether the model’s predictions find support in data under three different discounting implementations; the shrinking-pie procedure, the effective-discounting procedure and the bargaining-delay procedure. We find no sensitivity to the number of periods in any of the three procedures. However, we find mixed evidence for the effect of changing the discount factor in the effective-discounting procedure and the shrinking-pie procedure, but the magnitude of effects are small. Furthermore, there was more disagreement in both the effective-discounting and bargaining-delay procedures than in the shrinking-pie procedure.

Suggested Citation

  • Tom-Reiel Heggedal & Thomas McKay, 2024. "Discounting in finite-time bargaining experiments," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 10(2), pages 504-518, December.
    • Handle: RePEc:spr:jesaex:v:10:y:2024:i:2:d:10.1007_s40881-024-00174-6
    DOI: 10.1007/s40881-024-00174-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40881-024-00174-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40881-024-00174-6?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. Taisuke Imai & Tom A Rutter & Colin F Camerer, 2021. "Meta-Analysis of Present-Bias Estimation using Convex Time Budgets," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1788-1814.
    3. 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.
    4. 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.
    5. Matthew Embrey & Guillaume R. Fréchette & Steven F. Lehrer, 2015. "Bargaining and Reputation: An Experiment on Bargaining in the Presence of Behavioural Types," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 608-631.
    6. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    7. Sigbjørn Birkeland & Bertil Tungodden, 2014. "Fairness motivation in bargaining: a matter of principle," Theory and Decision, Springer, vol. 77(1), pages 125-151, June.
    8. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-384, June.
    9. Guillaume R. Fréchette & Sevgi Yuksel, 2017. "Infinitely repeated games in the laboratory: four perspectives on discounting and random termination," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 279-308, June.
    10. Jindrich Matousek & Tomas Havranek & Zuzana Irsova, 2022. "Individual discount rates: a meta-analysis of experimental evidence," Experimental Economics, Springer;Economic Science Association, vol. 25(1), pages 318-358, February.
    11. Schweighofer-Kodritsch, Sebastian, 2018. "Time Preferences and Bargaining," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 86(1), pages 173-217.
    12. Matthew Backus & Thomas Blakee & Brad Larsen & Steven Tadelis, 2020. "Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1319-1361.
    13. Daniel Keniston & Bradley J. Larsen & Shengwu Li & J.J. Prescott & Bernardo S. Silveira & Chuan Yu, 2021. "Fairness in Incomplete Information Bargaining: Theory and Widespread Evidence from the Field," NBER Working Papers 29111, National Bureau of Economic Research, Inc.
    14. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    15. Steffen Andersen & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    16. Jonathan Cohen & Keith Marzilli Ericson & David Laibson & John Myles White, 2020. "Measuring Time Preferences," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 299-347, June.
    17. Chen, Daniel L. & Schonger, Martin & Wickens, Chris, 2016. "oTree—An open-source platform for laboratory, online, and field experiments," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 88-97.
    18. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    19. Freeman, David & Manzini, Paola & Mariotti, Marco & Mittone, Luigi, 2016. "Procedures for eliciting time preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 235-242.
    20. Sebastian Schweighofer†Kodritsch, 2018. "Time Preferences and Bargaining," Econometrica, Econometric Society, vol. 86(1), pages 173-217, January.
    21. Arnaud De Bruyn & Gary E. Bolton, 2008. "Estimating the Influence of Fairness on Bargaining Behavior," Management Science, INFORMS, vol. 54(10), pages 1774-1791, October.
    22. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-1180, December.
    23. Goeree, Jacob K. & Holt, Charles A., 2000. "Asymmetric inequality aversion and noisy behavior in alternating-offer bargaining games," European Economic Review, Elsevier, vol. 44(4-6), pages 1079-1089, May.
    24. 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.
    25. Heggedal, Tom-Reiel & Helland, Leif & Våge Knutsen, Magnus, 2022. "The power of outside options in the presence of obstinate types," Games and Economic Behavior, Elsevier, vol. 136(C), pages 454-468.
    26. Weg, Eythan & Rapoport, Amnon & Felsenthal, Dan S., 1990. "Two-person bargaining behavior in fixed discounting factors games with infinite horizon," Games and Economic Behavior, Elsevier, vol. 2(1), pages 76-95, March.
    27. Jack Fanning & Andrew Kloosterman, 2022. "An experimental test of the Coase conjecture: Fairness in dynamic bargaining," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 138-165, March.
    28. Ernst Fehr & Urs Fischbacher, 2002. "Why Social Preferences Matter -- The Impact of Non-Selfish Motives on Competition, Cooperation and Incentives," Economic Journal, Royal Economic Society, vol. 112(478), pages 1-33, March.
    29. 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.
    30. Daniel L. Chen & Martin Schonger & Chris Wickens, 2016. "oTree - An open-source platform for laboratory, online, and field experiments," Post-Print hal-04315125, HAL.
    31. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    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. Jeongbin Kim & Wooyoung Lim & Sebastian Schweighofer-Kodritsch, 2023. "Patience Is Power: Bargaining and Payoff Delay," Berlin School of Economics Discussion Papers 0015, Berlin School of Economics.
    2. Heggedal, Tom-Reiel & Helland, Leif & Våge Knutsen, Magnus, 2022. "The power of outside options in the presence of obstinate types," Games and Economic Behavior, Elsevier, vol. 136(C), pages 454-468.
    3. Kim, Jeongbin & Lim, Wooyoung & Schweighofer-Kodritsch, Sebastian, 2020. "Bargaining and Time Preferences: An Experimental Study," Rationality and Competition Discussion Paper Series 254, CRC TRR 190 Rationality and Competition.
    4. Anna Conte & Werner Güth & Paul Pezanis-Christou, 2023. "Strategic ambiguity and risk in alternating pie-sharing experiments," Journal of Risk and Uncertainty, Springer, vol. 66(3), pages 233-260, June.
    5. 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.
    6. van Damme, Eric & Binmore, Kenneth G. & Roth, Alvin E. & Samuelson, Larry & Winter, Eyal & Bolton, Gary E. & Ockenfels, Axel & Dufwenberg, Martin & Kirchsteiger, Georg & Gneezy, Uri & Kocher, Martin G, 2014. "How Werner Güth's ultimatum game shaped our understanding of social behavior," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 292-318.
    7. Bendoly, Elliot & van Wezel, Wout & Bachrach, Daniel G. (ed.), 2015. "The Handbook of Behavioral Operations Management: Social and Psychological Dynamics in Production and Service Settings," OUP Catalogue, Oxford University Press, number 9780199357222.
    8. Olivier Bochet & Manshu Khanna & Simon Siegenthaler, 2024. "Beyond Dividing the Pie: Multi-Issue Bargaining in the Laboratory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(1), pages 163-191.
    9. Burns, Nathaniel A. & Deck, Cary A. & Thomas, Charles J., 2023. "Experimental analysis of impatience in bilateral and multilateral negotiations," Journal of Economic Psychology, Elsevier, vol. 95(C).
    10. Feltovich, Nick, 2019. "Is earned bargaining power more fully exploited?," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 152-180.
    11. Leng, Ailin, 2023. "A Rubinstein bargaining experiment in continuous time," Games and Economic Behavior, Elsevier, vol. 140(C), pages 115-131.
    12. Li, Shuwen & Houser, Daniel, 2022. "Stochastic bargaining in the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 687-715.
    13. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.
    14. Anderhub, Vital & Guth, Werner & Marchand, Nadege, 2004. "Early or late conflict settlement in a variety of games - An experimental study," Journal of Economic Psychology, Elsevier, vol. 25(2), pages 177-194, April.
    15. Luis José Blas Moreno Garrido, 2015. "Relative Injustice Aversion," Working Papers. Serie AD 2015-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    16. Güth, Werner & Kocher, Martin G., 2014. "More than thirty years of ultimatum bargaining experiments: Motives, variations, and a survey of the recent literature," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 396-409.
    17. Eva I. Hoppe & Patrick W. Schmitz, 2013. "Contracting under Incomplete Information and Social Preferences: An Experimental Study," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(4), pages 1516-1544.
    18. 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.
    19. Christiane Bradler, 2009. "Social Preferences under Risk - An Experimental Analysis," Jena Economics Research Papers 2009-022, Friedrich-Schiller-University Jena.
    20. Ramzi Suleiman, 2022. "Economic Harmony—A Rational Theory of Fairness and Cooperation in Strategic Interactions," Games, MDPI, vol. 13(3), pages 1-21, April.

    More about this item

    Keywords

    Alternate-offer bargaining; Laboratory experiment; Discounting; Internet experiment;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    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:spr:jesaex:v:10:y:2024:i:2:d:10.1007_s40881-024-00174-6. 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.