IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v157y2017icp148-151.html
   My bibliography  Save this article

Coincidence of two solutions to Nash’s bargaining problem

Author

Listed:
  • Stambaugh, Todd

Abstract

In 1950, John Nash gave an elegant solution to the bargaining problem using his somewhat controversial IIA axiom. Twenty-five years later, Ehud Kalai and Meir Smorodinsky gave a different solution replacing the IIA condition with their own Monotonicity condition. While the two solutions obviously coincide under certain conditions (e.g. when the problem is symmetric), they do not in general agree. This paper presents a complete account of the precise conditions under which the two solutions coincide.

Suggested Citation

  • Stambaugh, Todd, 2017. "Coincidence of two solutions to Nash’s bargaining problem," Economics Letters, Elsevier, vol. 157(C), pages 148-151.
  • Handle: RePEc:eee:ecolet:v:157:y:2017:i:c:p:148-151
    DOI: 10.1016/j.econlet.2017.06.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016517651730229X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2017.06.002?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. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    2. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    3. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
    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. Craig Webb, 2010. "Agreeing to spin the subjective roulette wheel: Bargaining with subjective mixtures," Economics Discussion Paper Series 1005, Economics, The University of Manchester.
    2. Ismail Saglam, 2013. "Endogenously proportional bargaining solutions," Economics Bulletin, AccessEcon, vol. 33(2), pages 1521-1534.
    3. Kobberling, Veronika & Peters, Hans, 2003. "The effect of decision weights in bargaining problems," Journal of Economic Theory, Elsevier, vol. 110(1), pages 154-175, May.
    4. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.
    5. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    6. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    7. Yves Sprumont, 2013. "On relative egalitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1015-1032, April.
    8. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    9. Driesen, Bram & Lombardi, Michele & Peters, Hans, 2016. "Feasible sets, comparative risk aversion, and comparative uncertainty aversion in bargaining," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 162-170.
    10. Smorodinsky, Rann, 2005. "Nash's bargaining solution when the disagreement point is random," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 3-11, July.
    11. Valenciano, Federico & Zarzuelo, Jose M., 1997. "On Nash's Hidden Assumption," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 266-281, October.
    12. Harold Houba & Xander Tieman & Rene Brinksma, 1996. "The Nash- and Kalai-Smorodinsky Bargaining Solution for Decision Weight Utility Functions," Game Theory and Information 9611001, University Library of Munich, Germany.
    13. Craig Webb, 2013. "Bargaining with subjective mixtures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 15-39, January.
    14. Anbarci, Nejat & Boyd III, John H., 2011. "Nash demand game and the Kalai-Smorodinsky solution," Games and Economic Behavior, Elsevier, vol. 71(1), pages 14-22, January.
    15. Kibris, Ozgur, 2004. "Egalitarianism in ordinal bargaining: the Shapley-Shubik rule," Games and Economic Behavior, Elsevier, vol. 49(1), pages 157-170, October.
    16. Serrano, Roberto & Shimomura, Ken-Ichi, 1998. "Beyond Nash Bargaining Theory: The Nash Set," Journal of Economic Theory, Elsevier, vol. 83(2), pages 286-307, December.
    17. Alon, Shiri & Lehrer, Ehud, 2019. "Competitive equilibrium as a bargaining solution: An axiomatic approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 60-71.
    18. Vincent Martinet & Pedro Gajardo & Michel de Lara, 2021. "Bargaining On Monotonic Economic Environments," Working Papers hal-03206724, HAL.
    19. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
    20. de Clippel, Geoffroy, 2015. "On the redundancy of the implicit welfarist axiom in bargaining theory," Journal of Economic Theory, Elsevier, vol. 157(C), pages 624-647.

    More about this item

    Keywords

    Bargaining; Nash bargaining;

    JEL classification:

    • 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:eee:ecolet:v:157:y:2017:i:c:p:148-151. 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/ecolet .

    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.