IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v63y2008i1p292-307.html
   My bibliography  Save this article

Subgame perfection in ultimatum bargaining trees

Author

Listed:
  • Stahl, Dale O.
  • Haruvy, Ernan

Abstract

In typical experiments on ultimatum bargaining, the game is described verbally and the majority of subjects deviate from subgame-perfect behavior. Proposers typically offer significantly more than the minimum possible and Responders reject "unfair" offers. In this work, we show that when the ultimatum bargaining game is presented as an abstract game tree, the vast majority of behavior is consistent with individualistic preferences and subgame-perfection. This finding raises doubts about theories that ignore the potential influence of social context and experiments that do not control for social context.

Suggested Citation

  • Stahl, Dale O. & Haruvy, Ernan, 2008. "Subgame perfection in ultimatum bargaining trees," Games and Economic Behavior, Elsevier, vol. 63(1), pages 292-307, May.
  • Handle: RePEc:eee:gamebe:v:63:y:2008:i:1:p:292-307
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(07)00143-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Hoffman Elizabeth & McCabe Kevin & Shachat Keith & Smith Vernon, 1994. "Preferences, Property Rights, and Anonymity in Bargaining Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 346-380, November.
    2. 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.
    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. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    5. Brandts, Jordi & Sola, Carles, 2001. "Reference Points and Negative Reciprocity in Simple Sequential Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 138-157, August.
    6. Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
    7. Mónica C. Capra, 2004. "Mood-Driven Behavior in Strategic Interactions," American Economic Review, American Economic Association, vol. 94(2), pages 367-372, May.
    8. Schotter Andrew & Weigelt Keith & Wilson Charles, 1994. "A Laboratory Investigation of Multiperson Rationality and Presentation Effects," Games and Economic Behavior, Elsevier, vol. 6(3), pages 445-468, May.
    9. Nicholas Bardsley, 2005. "Altruism or Artefact? A Note on Dictator Game Giving," Discussion Papers 2005-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    10. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    11. Charness, Gary & Haruvy, Ernan & Sonsino, Doron, 2007. "Social distance and reciprocity: An Internet experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 63(1), pages 88-103, May.
    12. 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.
    13. Cary A. Deck, 2001. "A Test of Game-Theoretic and Behavioral Models of Play in Exchange and Insurance Environments," American Economic Review, American Economic Association, vol. 91(5), pages 1546-1555, December.
    14. Armin Falk & Ernst Fehr & Urs Fischbacher, 2003. "On the Nature of Fair Behavior," Economic Inquiry, Western Economic Association International, vol. 41(1), pages 20-26, January.
    15. Martin Dufwenberg & Simon Gaechter & Heike Hennig-Schmidt, 2006. "The Framing of Games and the Psychology of Strategic Choice," Discussion Papers 2006-20, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    16. Thaler, Richard H, 1988. "The Ultimatum Game," Journal of Economic Perspectives, American Economic Association, vol. 2(4), pages 195-206, Fall.
    17. 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.
    18. Rami Zwick & Xiao-Ping Chen, 1999. "What Price Fairness? A Bargaining Study," Management Science, INFORMS, vol. 45(6), pages 804-823, June.
    19. Robert Slonim & Alvin E. Roth, 1998. "Learning in High Stakes Ultimatum Games: An Experiment in the Slovak Republic," Econometrica, Econometric Society, vol. 66(3), pages 569-596, May.
    20. Gary Charness & Guillaume R. Frechette & John H. Kagel, 2004. "How Robust is Laboratory Gift Exchange?," Experimental Economics, Springer;Economic Science Association, vol. 7(2), pages 189-205, June.
    21. Amnon Rapoport & Ido Erev & Rami Zwick, 1995. "An Experimental Study of Buyer-Seller Negotiation with One-Sided Incomplete Information and Time Discounting," Management Science, INFORMS, vol. 41(3), pages 377-394, March.
    22. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-1095, December.
    23. 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.
    24. Cooper, David J. & Van Huyck, John B., 2003. "Evidence on the equivalence of the strategic and extensive form representation of games," Journal of Economic Theory, Elsevier, vol. 110(2), pages 290-308, June.
    25. Bolton Gary E. & Zwick Rami, 1995. "Anonymity versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 10(1), pages 95-121, July.
    26. James C. Cox & Cary A. Deck, 2005. "On the Nature of Reciprocal Motives," Economic Inquiry, Western Economic Association International, vol. 43(3), pages 623-635, July.
    27. Gary Bolton & Axel Ockenfels, 2005. "A stress test of fairness measures in models of social utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 957-982, June.
    28. Kirchsteiger, Georg, 1994. "The role of envy in ultimatum games," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 373-389, December.
    29. Johnson, Eric J. & Camerer, Colin & Sen, Sankar & Rymon, Talia, 2002. "Detecting Failures of Backward Induction: Monitoring Information Search in Sequential Bargaining," Journal of Economic Theory, Elsevier, vol. 104(1), pages 16-47, May.
    30. 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.
    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.
    32. Stahl, Dale O. & Haruvy, Ernan, 2006. "Other-regarding preferences: Egalitarian warm glow, empathy, and group size," Journal of Economic Behavior & Organization, Elsevier, vol. 61(1), pages 20-41, September.
    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. Jörg Oechssler & Andreas Roider & Patrick W. Schmitz, 2015. "Cooling Off in Negotiations: Does it Work?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 171(4), pages 565-588, December.
    2. Smith, Vernon L. & Wilson, Bart J., 2018. "Equilibrium play in voluntary ultimatum games: Beneficence cannot be extorted," Games and Economic Behavior, Elsevier, vol. 109(C), pages 452-464.
    3. Ellingsen, Tore & Östling, Robert & Wengström, Erik, 2018. "How does communication affect beliefs in one-shot games with complete information?," Games and Economic Behavior, Elsevier, vol. 107(C), pages 153-181.
    4. Wichardt, Philipp C. & Schunk, Daniel & Schmitz, Patrick W., 2009. "Participation costs for responders can reduce rejection rates in ultimatum bargaining," Economics Letters, Elsevier, vol. 103(1), pages 33-35, April.
    5. James C. Cox & Vjollca Sadiraj, 2018. "Incentives," Experimental Economics Center Working Paper Series 2018-01, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    6. Nguyen, N.P. & Shortle, J.S. & Reed, P.M. & Nguyen, T.T., 2013. "Water quality trading with asymmetric information, uncertainty and transaction costs: A stochastic agent-based simulation," Resource and Energy Economics, Elsevier, vol. 35(1), pages 60-90.
    7. Li, Shuwen & Houser, Daniel, 2022. "Stochastic bargaining in the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 687-715.
    8. Eric Cardella & Carl Kitchens, 2017. "The impact of award uncertainty on settlement negotiations," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 333-367, June.
    9. Declerck, Carolyn H. & Kiyonari, Toko & Boone, Christophe, 2009. "Why do responders reject unequal offers in the Ultimatum Game? An experimental study on the role of perceiving interdependence," Journal of Economic Psychology, Elsevier, vol. 30(3), pages 335-343, June.
    10. Ohr Renate, 2015. "Europäische Integration am Wendepunkt? Zum möglichen Austritt Großbritanniens aus der EU / European integration at a turning point? Consequences of a British exit for the EU," ORDO. Jahrbuch für die Ordnung von Wirtschaft und Gesellschaft, De Gruyter, vol. 66(1), pages 99-114, January.
    11. Jordi Brandts & Enrique Fatas & Ernan Haruvy & Francisco Lagos, 2015. "The impact of relative position and returns on sacrifice and reciprocity: an experimental study using individual decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(3), pages 489-511, October.
    12. Susanne Lechner & Renate Ohr, 2011. "The right of withdrawal in the treaty of Lisbon: a game theoretic reflection on different decision processes in the EU," European Journal of Law and Economics, Springer, vol. 32(3), pages 357-375, December.
    13. repec:got:cegedp:77 is not listed 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. 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.
    2. Stahl, Dale O. & Haruvy, Ernan, 2008. "Level-n bounded rationality in two-player two-stage games," Journal of Economic Behavior & Organization, Elsevier, vol. 65(1), pages 41-61, January.
    3. Gagen, Michael, 2013. "Isomorphic Strategy Spaces in Game Theory," MPRA Paper 46176, University Library of Munich, Germany.
    4. Fehr, Ernst & Schmidt, Klaus M., 2005. "The Economics of Fairness, Reciprocity and Altruism – Experimental Evidence and New Theories," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 66, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    5. Li, Shuwen & Houser, Daniel, 2022. "Stochastic bargaining in the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 687-715.
    6. David Cooper & E. Dutcher, 2011. "The dynamics of responder behavior in ultimatum games: a meta-study," Experimental Economics, Springer;Economic Science Association, vol. 14(4), pages 519-546, November.
    7. Yi, Kang-Oh, 2005. "Quantal-response equilibrium models of the ultimatum bargaining game," Games and Economic Behavior, Elsevier, vol. 51(2), pages 324-348, May.
    8. Halevy, Yoram & Peters, Michael, 2007. "Other Regarding Preferences: Outcomes, Intentions, or Interdependence," Microeconomics.ca working papers peters-07-03-31-11-46-48, Vancouver School of Economics, revised 24 Jun 2009.
    9. 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.
    10. Emin Karagözoğlu & Ümit Barış Urhan, 2017. "The Effect of Stake Size in Experimental Bargaining and Distribution Games: A Survey," Group Decision and Negotiation, Springer, vol. 26(2), pages 285-325, March.
    11. Stefan Kohler & European University Institute, 2006. "Inequality Aversion and Stochastic Decision-making: Experimental Evidence from Zimbabwean Villages after Land Reform," Economics Series Working Papers GPRG-WPS-061, University of Oxford, Department of Economics.
    12. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    13. 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.
    14. Charness, Gary & Rabin, Matthew, 2005. "Expressed preferences and behavior in experimental games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 151-169, November.
    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. Binmore, Ken & Shaked, Avner, 2010. "Experimental economics: Where next?," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 87-100, January.
    17. Gary Bolton & Axel Ockenfels, 2005. "A stress test of fairness measures in models of social utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(4), pages 957-982, June.
    18. Barmettler, Franziska & Fehr, Ernst & Zehnder, Christian, 2012. "Big experimenter is watching you! Anonymity and prosocial behavior in the laboratory," Games and Economic Behavior, Elsevier, vol. 75(1), pages 17-34.
    19. 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.
    20. James Andreoni & Emily Blanchard, 2006. "Testing subgame perfection apart from fairness in ultimatum games," Experimental Economics, Springer;Economic Science Association, vol. 9(4), pages 307-321, December.

    More about this item

    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:gamebe:v:63:y:2008:i:1:p:292-307. 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/inca/622836 .

    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.