IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/40764.html
   My bibliography  Save this paper

Inequality aversion causes equal or unequal division in alternating-offer bargaining

Author

Listed:
  • Kohler, Stefan

Abstract

This note presents a solution to Rubinstein (1982)'s open-ended, alternating-offer bargaining problem for two equally patient bargainers that exhibit similar degrees of inequality aversion. Inequality-averse bargainers may perceive envy if being worse off and guilt if being better off, but they still reach agreement in the first period under complete information. If the perceived guilt is strong, then the inequality-averse bargainers split the bargaining surplus equally regardless of their degree of envy. If guilt is weak, then the agreed split is tilted away from the Rubinstein division towards a more unequal split. Envy and weak guilt have opposite effects on the bargaining outcome, and envy has a greater marginal impact than weak guilt. Similarly inequality-averse bargainers agree on the Rubinstein division if the strength of envy equals the discounted strength of guilt. As both bargainers sensation of inequality aversion diminishes, the bargaining outcome converges to the Rubinstein division.

Suggested Citation

  • Kohler, Stefan, 2013. "Inequality aversion causes equal or unequal division in alternating-offer bargaining," MPRA Paper 40764, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:40764
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/40764/1/MPRA_paper_40764.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    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. Stefan Kohler, 2014. "Guilt causes equal or unequal division in alternating-offer bargaining," Economics Bulletin, AccessEcon, vol. 34(3), pages 1611-1617.
    3. Maria Montero, 2007. "Inequity Aversion May Increase Inequity," Economic Journal, Royal Economic Society, vol. 117(519), pages 192-204, March.
    4. Ana Mauleon & Vincent Vannetelbosch, 2013. "Relative Concerns and Delays in Bargaining with Private Information," Games, MDPI, vol. 4(3), pages 1-10, June.
    5. 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.
    6. Stefan Kohler, 2012. "Incomplete Information about Social Preferences Explains Equal Division and Delay in Bargaining," Games, MDPI, vol. 3(3), pages 1-19, September.
    7. 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.
    8. 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.
    9. Rasch, Alexander & Wambach, Achim & Wiener, Kristina, 2012. "Bargaining and inequity aversion: On the efficiency of the double auction," Economics Letters, Elsevier, vol. 114(2), pages 178-181.
    10. Maria Montero, 2008. "Altruism, Spite and Competition in Bargaining Games," Theory and Decision, Springer, vol. 65(2), pages 125-151, September.
    11. Engelmann, Dirk, 2012. "How not to extend models of inequality aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 81(2), pages 599-605.
    12. Abigail Barr & Chris Wallace & Jean Ensminger & Joseph Henrich & Clark Barrette & Alexander Bolyanatz & Juan Camilo Cardenas & Michael Gurven & Edwins Gwako & Carolyn Lesorogol & Frank Marlowe & Richa, 2009. "Homo Æqualis: A Cross-Society Experimental Analysis of Three Bargaining Games," CSAE Working Paper Series 2009-02, Centre for the Study of African Economies, University of Oxford.
    13. Stefan Kohler, 2013. "More Fair Play in an Ultimatum Game after Resettlement in Zimbabwe: A Field Experiment and a Structural Model," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-12, May.
    14. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
    15. Dorothea Herreiner & Clemens Puppe, 2009. "Envy Freeness in Experimental Fair Division Problems," Theory and Decision, Springer, vol. 67(1), pages 65-100, July.
    16. 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.
    17. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-211, January.
    18. Jonathan Tan & Friedel Bolle, 2006. "On the Relative Strengths of Altruism and Fairness," Theory and Decision, Springer, vol. 60(1), pages 35-67, February.
    19. Kohler, Stefan, 2011. "Altruism and fairness in experimental decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 101-109.
    20. Sigbjørn Birkeland & Bertil Tungodden, 2014. "Fairness motivation in bargaining: a matter of principle," Theory and Decision, Springer, vol. 77(1), pages 125-151, June.
    21. Charles Bellemare & Sabine Kröger & Arthur van Soest, 2008. "Measuring Inequity Aversion in a Heterogeneous Population Using Experimental Decisions and Subjective Probabilities," Econometrica, Econometric Society, vol. 76(4), pages 815-839, July.
    22. Martin A. Leroch, 2015. "Rubinstein Bargaining with Other-Regarding Preferences," Working Papers 1509, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    23. Kohler, Stefan, 2012. "Envy can promote more equal division in alternating-offer bargaining," MPRA Paper 40761, University Library of Munich, Germany.
    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. Stefan Kohler, 2014. "Guilt causes equal or unequal division in alternating-offer bargaining," Economics Bulletin, AccessEcon, vol. 34(3), pages 1611-1617.
    2. Kim, Chulyoung & Kim, Sang-Hyun & Lee, Jinhyuk & Lee, Joosung, 2022. "Strategic alliances in a veto game: An experimental study," European Journal of Political Economy, Elsevier, vol. 75(C).
    3. 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.

    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. Kohler, Stefan, 2012. "Envy can promote more equal division in alternating-offer bargaining," MPRA Paper 40761, University Library of Munich, Germany.
    2. Stefan Kohler, 2012. "Incomplete Information about Social Preferences Explains Equal Division and Delay in Bargaining," Games, MDPI, vol. 3(3), pages 1-19, September.
    3. Stefan Kohler, 2014. "Guilt causes equal or unequal division in alternating-offer bargaining," Economics Bulletin, AccessEcon, vol. 34(3), pages 1611-1617.
    4. Christian Ewerhart, 2006. "The Effect of Sunk Costs on the Outcome of Alternating-Offers Bargaining Between Inequity-Averse Agents," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 58(2), pages 184-203, April.
    5. Pelligra, Vittorio & Stanca, Luca, 2013. "To give or not to give? Equity, efficiency and altruistic behavior in an artefactual field experiment," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 46(C), pages 1-9.
    6. Breitmoser, Yves & Tan, Jonathan H.W., 2013. "Reference dependent altruism in demand bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 127-140.
    7. Stefan Kohler, 2013. "More Fair Play in an Ultimatum Game after Resettlement in Zimbabwe: A Field Experiment and a Structural Model," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-12, May.
    8. Breitmoser, Yves & Tan, Jonathan H.W., 2011. "Ultimata bargaining: generosity without social motives," MPRA Paper 33613, University Library of Munich, Germany.
    9. Breitmoser, Yves & Tan, Jonathan H.W., 2010. "Generosity in bargaining: Fair or fear?," MPRA Paper 27444, University Library of Munich, Germany.
    10. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    11. 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.
    12. Falk, Armin & Zehnder, Christian & Meier, Stephan, 2010. "Did We Overestimate the Role of Social Preferences? The Case of Self-Selected Student Samples," CEPR Discussion Papers 8019, C.E.P.R. Discussion Papers.
    13. Martin A. Leroch, 2015. "Rubinstein Bargaining with Other-Regarding Preferences," Working Papers 1509, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    14. Carmen Marchiori, 2010. "Concern for Fairness and Incentives in Water Negotiations," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 45(4), pages 553-571, April.
    15. Alger, Ingela & Van Leeuwen, Boris, 2019. "Estimating Social Preferences and Kantian Morality in Strategic Interactions," IAST Working Papers 19-100, Institute for Advanced Study in Toulouse (IAST), revised Nov 2023.
    16. Griffin, John & Nickerson, David & Wozniak, Abigail, 2012. "Racial differences in inequality aversion: Evidence from real world respondents in the ultimatum game," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 600-617.
    17. Ozan Aksoy & Jeroen Weesie, 2013. "Hierarchical Bayesian Analysis of Biased Beliefs and Distributional Other-Regarding Preferences," Games, MDPI, vol. 4(1), pages 1-23, February.
    18. Feldhaus, Christoph & Rockenbach, Bettina & Zeppenfeld, Christopher, 2020. "Inequality in minimum-effort coordination," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224650, Verein für Socialpolitik / German Economic Association.
    19. 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.
    20. Alós-Ferrer, Carlos & Ritzberger, Klaus, 2021. "Multi-lateral strategic bargaining without stationarity," Journal of Mathematical Economics, Elsevier, vol. 97(C).

    More about this item

    Keywords

    alternating offers; bargaining; bargaining power; behavioral economics; envy; equity; fairness; guilt; negotiation; social preferences;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D3 - Microeconomics - - Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:40764. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.