IDEAS home Printed from https://ideas.repec.org/p/qmw/qmwecw/502.html
   My bibliography  Save this paper

On the Behavior of Proposers in Ultimatum Games

Author

Listed:
  • Thomas Brenner

    (Max Planck Institute, Jena)

  • Nicolaas J. Vriend

    (Queen Mary, University of London)

Abstract

We demonstrate that one should not expect convergence of the proposals to the subgame perfect Nash equilibrium offer in standard ultimatum games. First, imposing strict experimental control of the behavior of the receiving players and focusing on the behavior of the proposers, we show experimentally that proposers do not learn to make the expected-payoff-maximizing offer. Second, considering a range of learning theories (from optimal to boundedly rational), we explain that this is an inherent feature of the learning task faced by the proposers, and we provide some insights into the actual learning behavior of the experimental subjects. This explanation for the lack of convergence to the subgame perfect Nash equilibrium in ultimatum games complements most alternative explanations.

Suggested Citation

  • Thomas Brenner & Nicolaas J. Vriend, 2003. "On the Behavior of Proposers in Ultimatum Games," Working Papers 502, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:502
    as

    Download full text from publisher

    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2003/items/wp502.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kirman, Alan P. & Vriend, Nicolaas J., 2001. "Evolving market structure: An ACE model of price dispersion and loyalty," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 459-502, March.
    2. Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
    3. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    4. Thaler, Richard H, 1988. "The Ultimatum Game," Journal of Economic Perspectives, American Economic Association, vol. 2(4), pages 195-206, Fall.
    5. Forsythe Robert & Horowitz Joel L. & Savin N. E. & Sefton Martin, 1994. "Fairness in Simple Bargaining Experiments," Games and Economic Behavior, Elsevier, vol. 6(3), pages 347-369, May.
    6. Guth, Werner & Tietz, Reinhard, 1990. "Ultimatum bargaining behavior : A survey and comparison of experimental results," Journal of Economic Psychology, Elsevier, vol. 11(3), pages 417-449, September.
    7. Bergemann, Dirk & Valimaki, Juuso, 2001. "Stationary multi-choice bandit problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1585-1594, October.
    8. Gary E. Bolton & Rami Zwick & Elena Katok, 1998. "Dictator game giving: Rules of fairness versus acts of kindness," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 269-299.
    9. Brezzi, Monica & Lai, Tze Leung, 2002. "Optimal learning and experimentation in bandit problems," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 87-108, November.
    10. Matthew Rabin, 2000. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Econometrica, Econometric Society, vol. 68(5), pages 1281-1292, September.
    11. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    12. 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.
    13. Sarin, Rajiv & Vahid, Farshid, 1999. "Payoff Assessments without Probabilities: A Simple Dynamic Model of Choice," Games and Economic Behavior, Elsevier, vol. 28(2), pages 294-309, August.
    14. Binmore, K. & Samuelson, L. & Gale, J., 1993. "Learning to be Imperfect: The Ultimatum Game," Working papers 9325, Wisconsin Madison - Social Systems.
    15. Vriend, Nicolaas J., 1997. "Will reasoning improve learning?," Economics Letters, Elsevier, vol. 55(1), pages 9-18, August.
    16. David Cooper & Nick Feltovich & Alvin Roth & Rami Zwick, 2003. "Relative versus Absolute Speed of Adjustment in Strategic Environments: Responder Behavior in Ultimatum Games," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 181-207, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Reuben, Ernesto & van Winden, Frans, 2010. "Fairness perceptions and prosocial emotions in the power to take," Journal of Economic Psychology, Elsevier, vol. 31(6), pages 908-922, December.
    2. Saima Naeem & Asad Zaman, 2014. "Gender and Ultimatum in Pakistan: Revisited," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 53(1), pages 1-14.
    3. Wenxin Xie & Yong Li & Yougui Wang & Keqiang Li, 2012. "Responders’ dissatisfaction may provoke fair offer," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(2), pages 197-207, October.
    4. Qi, Tianxiao & Xu, Bin & Wu, Jinshan & Vriend, Nicolaas J., 2022. "On the Stochasticity of Ultimatum Games," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 227-254.
    5. Boyu Zhang, 2013. "Social Learning in the Ultimatum Game," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-6, September.
    6. Alan Schwartz, 2008. "How Much Irrationality Does the Market Permit?," The Journal of Legal Studies, University of Chicago Press, vol. 37(1), pages 131-159, January.

    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. Brenner, Thomas & Vriend, Nicolaas J., 2006. "On the behavior of proposers in ultimatum games," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 617-631, December.
    2. 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.
    3. Nicolaas J. Vriend, 1996. "Does eeasoning enhance learning?," Economics Working Papers 185, Department of Economics and Business, Universitat Pompeu Fabra.
    4. Gary Bolton, 1998. "Bargaining and Dilemma Games: From Laboratory Data Towards Theoretical Synthesis," Experimental Economics, Springer;Economic Science Association, vol. 1(3), pages 257-281, December.
    5. Qi, Tianxiao & Xu, Bin & Wu, Jinshan & Vriend, Nicolaas J., 2022. "On the Stochasticity of Ultimatum Games," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 227-254.
    6. Vriend, Nicolaas J., 1997. "Will reasoning improve learning?," Economics Letters, Elsevier, vol. 55(1), pages 9-18, August.
    7. Gagen, Michael, 2013. "Isomorphic Strategy Spaces in Game Theory," MPRA Paper 46176, University Library of Munich, Germany.
    8. Gary E Bolton & Axel Ockenfels, 1997. "A Theory of Equity, Reciprocity, and Competition," Levine's Working Paper Archive 1889, David K. Levine.
    9. Miguel Costa-Gomes & Klaus G Zauner, 2001. "A Social Utility Explanation of Results in Experimental Ultimatum Bargaining Games," Levine's Working Paper Archive 563824000000000069, David K. Levine.
    10. 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.
    11. Bogliacino, Francesco & Codagnone, Cristiano, 2021. "Microfoundations, behaviour, and evolution: Evidence from experiments," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 372-385.
    12. Brit Grosskopf, 2003. "Reinforcement and Directional Learning in the Ultimatum Game with Responder Competition," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 141-158, October.
    13. David Cooper & Nick Feltovich & Alvin Roth & Rami Zwick, 2003. "Relative versus Absolute Speed of Adjustment in Strategic Environments: Responder Behavior in Ultimatum Games," Experimental Economics, Springer;Economic Science Association, vol. 6(2), pages 181-207, October.
    14. Nick Feltovich & John Duffy, 1999. "Does observation of others affect learning in strategic environments? An experimental study," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(1), pages 131-152.
    15. Costa-Gomes, Miguel & Zauner, Klaus G., 2001. "Ultimatum Bargaining Behavior in Israel, Japan, Slovenia, and the United States: A Social Utility Analysis," Games and Economic Behavior, Elsevier, vol. 34(2), pages 238-269, February.
    16. Cox, James C. & Friedman, Daniel & Gjerstad, Steven, 2007. "A tractable model of reciprocity and fairness," Games and Economic Behavior, Elsevier, vol. 59(1), pages 17-45, April.
    17. Werner G³th, 2001. "How Ultimatum Offers Emerge: A Study in Bounded Rationality," Homo Oeconomicus, Institute of SocioEconomics, vol. 18, pages 91-110.
    18. Sven Fischer, 2005. "Inequality Aversion in Ultimatum Games with Asymmetric Conflict Payoffs - A Theoretical and Experimental Analysis -," Papers on Strategic Interaction 2005-36, Max Planck Institute of Economics, Strategic Interaction Group.
    19. Boyu Zhang, 2013. "Social Learning in the Ultimatum Game," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-6, September.
    20. Christoph Kuzmics & Daniel Rodenburger, 2020. "A case of evolutionarily stable attainable equilibrium in the laboratory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 685-721, October.

    More about this item

    Keywords

    Ultimatum game; Non-equilibrium behavior; Laboratory experiment; Multi-armed bandit; Optimal learning; Gittins index; Bounded rationality;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:qmw:qmwecw:502. 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: Nicholas Owen (email available below). General contact details of provider: https://edirc.repec.org/data/deqmwuk.html .

    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.