IDEAS home Printed from https://ideas.repec.org/p/exc/wpaper/2006-21.html
   My bibliography  Save this paper

Revealing Preferences for Fairness in Ultimatum Bargaining

Author

Listed:
  • James Andreoni
  • Marco Castillo
  • Ragan Petrie

Abstract

The ultimatum game has been the primary tool for studying bargaining behavior in recent years. However, not enough information is gathered in the ultimatum game to get a clear picture of respondersâ?? utility functions. We analyze a convex ultimatum game in which respondersâ?? can â??shrinkâ? an offer as well as to accept or reject it. This allows us to observe enough about respondersâ?? preferences to estimate utility functions. We then successfully use data collected from convex ultimatum games to predict behavior in standard games. Our analysis reveals that rejections can be â??rationalizedâ? with neo-classical preferences over own- and other-payoff that are convex, nonmonotonic, and regular. These findings present a precise benchmark for models of fairness and bargaining.

Suggested Citation

  • James Andreoni & Marco Castillo & Ragan Petrie, 2005. "Revealing Preferences for Fairness in Ultimatum Bargaining," Experimental Economics Center Working Paper Series 2006-21, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
  • Handle: RePEc:exc:wpaper:2006-21
    as

    Download full text from publisher

    File URL: http://excen.gsu.edu/workingpapers/GSU_EXCEN_WP_2006-21.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charness, Gary & Rabin, Matthew, 2001. "Understanding Social Preferences with Simple Tests," Department of Economics, Working Paper Series qt4qz9k8vg, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    2. 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.
    3. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    4. Joel L. Horowitz, 1998. "Bootstrap Methods for Median Regression Models," Econometrica, Econometric Society, vol. 66(6), pages 1327-1352, November.
    5. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-881, September.
    6. Rabin, Matthew, 2000. "Bargaining Structure, Fairness and Efficiency," Department of Economics, Working Paper Series qt8723s6r2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    7. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
    8. Gary E Bolton & Axel Ockenfels, 1997. "A Theory of Equity, Reciprocity, and Competition," Levine's Working Paper Archive 1889, David K. Levine.
    9. A. Roth & I. Er’ev, 2010. "Learning in Extensive Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Run," Levine's Working Paper Archive 387, David K. Levine.
    10. 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.
    11. James Andreoni, 2001. "Giving According to GARP," Theory workshop papers 339, UCLA Department of Economics.
    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. Gneezy, Uri & Haruvy, Ernan & Roth, Alvin E., 2003. "Bargaining under a deadline: evidence from the reverse ultimatum game," Games and Economic Behavior, Elsevier, vol. 45(2), pages 347-368, November.
    14. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    15. 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.
    16. Manski, Charles F., 2002. "Identification of decision rules in experiments on simple games of proposal and response," European Economic Review, Elsevier, vol. 46(4-5), pages 880-891, May.
    17. 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.
    18. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    19. Rabin, Matthew, 1997. "Bargaining Structure, Fairness and Efficiency," Department of Economics, Working Paper Series qt35g8s3dd, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    20. 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.
    21. 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.
    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. 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.
    24. Eckel, Catherine C & Grossman, Philip J, 2001. "Chivalry and Solidarity in Ultimatum Games," Economic Inquiry, Western Economic Association International, vol. 39(2), pages 171-188, April.
    25. Kennan, John & Wilson, Robert, 1993. "Bargaining with Private Information," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 45-104, March.
    26. Suleiman, Ramzi, 1996. "Expectations and fairness in a modified Ultimatum game," Journal of Economic Psychology, Elsevier, vol. 17(5), pages 531-554, November.
    27. Andreoni, James & Brown, Paul M. & Vesterlund, Lise, 2002. "What Makes an Allocation Fair? Some Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 40(1), pages 1-24, July.
    28. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    29. Ronald Bosman & Frans van Winden, 2002. "Emotional Hazard in a Power-to-take Experiment," Economic Journal, Royal Economic Society, vol. 112(476), pages 147-169, January.
    30. James Andreoni & Marco Castillo & Ragan Petrie, 2003. "What Do Bargainers' Preferences Look Like? Experiments with a Convex Ultimatum Game," American Economic Review, American Economic Association, vol. 93(3), pages 672-685, June.
    31. Marlies Ahlert & Arwed Cr³ger & Werner G³th, 2001. "How Paulus Becomes Saulus An Experimental Study of Equal Punishment Games," Homo Oeconomicus, Institute of SocioEconomics, vol. 18, pages 303-318.
    32. 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.
    33. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
    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. Nisvan Erkal & Lata Gangadharan & Nikos Nikiforakis, 2011. "Relative Earnings and Giving in a Real-Effort Experiment," American Economic Review, American Economic Association, vol. 101(7), pages 3330-3348, December.
    2. Alexander W. Cappelen & Astri Drange Hole & Erik Ø Sørensen & Bertil Tungodden, 2007. "The Pluralism of Fairness Ideals: An Experimental Approach," American Economic Review, American Economic Association, vol. 97(3), pages 818-827, June.
    3. 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.
    4. Abigail Barr & Chris Wallace & Jean Ensminger & Juan Camilo Cárdenas, 2009. "Homo Aqualis: A Cross-Society Experimental Analysis of Three Bargaining Games," Documentos CEDE 5427, Universidad de los Andes, Facultad de Economía, CEDE.
    5. 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.
    6. James Andreoni, 2006. "Giving Gifts to Groups: How Congestible is Altruism?," Levine's Bibliography 321307000000000166, UCLA Department of Economics.

    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. Andreoni,J. & Castillo,M. & Petrie,R., 2000. "What do bargainers' preferences look like? : exploring a convex ultimatum game," Working papers 25, Wisconsin Madison - Social Systems.
    3. Olivier Armantier, 2006. "Do Wealth Differences Affect Fairness Considerations?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 391-429, May.
    4. 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.
    5. Charness, Gary & Kuhn, Peter, 2011. "Lab Labor: What Can Labor Economists Learn from the Lab?," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 3, pages 229-330, Elsevier.
    6. 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.
    7. James Andreoni & Marco Castillo & Ragan Petrie, 2003. "What Do Bargainers' Preferences Look Like? Experiments with a Convex Ultimatum Game," American Economic Review, American Economic Association, vol. 93(3), pages 672-685, June.
    8. 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.
    9. Eckel, Catherine & Gintis, Herbert, 2010. "Blaming the messenger: Notes on the current state of experimental economics," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 109-119, January.
    10. 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.
    11. Nicklisch, Andreas & Wolff, Irenaeus, 2012. "On the nature of reciprocity: Evidence from the ultimatum reciprocity measure," Journal of Economic Behavior & Organization, Elsevier, vol. 84(3), pages 892-905.
    12. Aina, Chiara & Battigalli, Pierpaolo & Gamba, Astrid, 2020. "Frustration and anger in the Ultimatum Game: An experiment," Games and Economic Behavior, Elsevier, vol. 122(C), pages 150-167.
    13. Erik O. Kimbrough & Alexander Vostroknutov, 2016. "Norms Make Preferences Social," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 608-638, June.
    14. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 207-231, August.
    15. Ernesto Reuben & Frans van Winden, 2005. "Negative Reciprocity and the Interaction of Emotions and Fairness Norms," Tinbergen Institute Discussion Papers 05-014/1, Tinbergen Institute.
    16. Andreoni, James & Brown, Paul M. & Vesterlund, Lise, 2002. "What Makes an Allocation Fair? Some Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 40(1), pages 1-24, July.
    17. James Andreoni, 2018. "Satisfaction Guaranteed: When Moral Hazard Meets Moral Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 10(4), pages 159-189, November.
    18. Đula, Ivan & Größler, Andreas, 2021. "Inequity aversion in dynamically complex supply chains," European Journal of Operational Research, Elsevier, vol. 291(1), pages 309-322.
    19. Camerer, Colin F. & Ho, Teck-Hua, 2015. "Behavioral Game Theory Experiments and Modeling," Handbook of Game Theory with Economic Applications,, Elsevier.
    20. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s1), pages 207-231, August.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

    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:exc:wpaper:2006-21. 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: J. Todd Swarthout (email available below). General contact details of provider: https://edirc.repec.org/data/exgsuus.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.