IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/9611001.html
   My bibliography  Save this paper

The Nash- and Kalai-Smorodinsky Bargaining Solution for Decision Weight Utility Functions

Author

Listed:
  • Harold Houba

    (Free University Amsterdam)

  • Xander Tieman

    (Free University)

  • Rene Brinksma

    (Free University)

Abstract

This note gives explicit formulas for the non-expected utility Nash- as well as the Kalai-Smorodinsky bargaining solution.

Suggested Citation

  • 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.
    • Handle: RePEc:wpa:wuwpga:9611001
    Note: Type of Document - Tex; prepared on IBM PC ; to print on HP;
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9611/9611001.tex
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9611/9611001.pdf
    Download Restriction: no
    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/9611/9611001.ps.gz
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    5. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    6. 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.
    7. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-1280, November.
    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. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    2. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    3. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    4. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
    5. 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.
    6. 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.
    7. Roberto Serrano, 2005. "Fifty years of the Nash program, 1953-2003," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 219-258, May.
    8. Roberto Serrano, 2004. "Fifty Years of the Nash Program, 1953-2003," Working Papers 2004-20, Brown University, Department of Economics.
    9. Houba, Harold & Tieman, Alexander F. & Brinksma, Rene, 1998. "The Nash bargaining solution for decision weight utility functions," Economics Letters, Elsevier, vol. 60(1), pages 41-48, July.
    10. Takeuchi, Ai & Veszteg, Róbert F. & Kamijo, Yoshio & Funaki, Yukihiko, 2022. "Bargaining over a jointly produced pie: The effect of the production function on bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 134(C), pages 169-198.
    11. Hwang, Sung-Ha & Rey-Bellet, Luc, 2021. "Positive feedback in coordination games: Stochastic evolutionary dynamics and the logit choice rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 355-373.
    12. Anbarci, Nejat & Skaperdas, Stergios & Syropoulos, Constantinos, 2002. "Comparing Bargaining Solutions in the Shadow of Conflict: How Norms against Threats Can Have Real Effects," Journal of Economic Theory, Elsevier, vol. 106(1), pages 1-16, September.
    13. Stambaugh, Todd, 2017. "Coincidence of two solutions to Nash’s bargaining problem," Economics Letters, Elsevier, vol. 157(C), pages 148-151.
    14. Eran Hanany & D. Marc Kilgour & Yigal Gerchak, 2007. "Final-Offer Arbitration and Risk Aversion in Bargaining," Management Science, INFORMS, vol. 53(11), pages 1785-1792, November.
    15. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    16. Craig Webb, 2010. "Agreeing to spin the subjective roulette wheel: Bargaining with subjective mixtures," Economics Discussion Paper Series 1005, Economics, The University of Manchester.
    17. Kapeller, Jakob & Steinerberger, Stefan, 2017. "Stability, fairness and random walks in the bargaining problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 60-71.
    18. Hwang, Sung-Ha & Lim, Wooyoung & Neary, Philip & Newton, Jonathan, 2018. "Conventional contracts, intentional behavior and logit choice: Equality without symmetry," Games and Economic Behavior, Elsevier, vol. 110(C), pages 273-294.
    19. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
    20. Ismail Saglam, 2013. "Endogenously proportional bargaining solutions," Economics Bulletin, AccessEcon, vol. 33(2), pages 1521-1534.

    More about this item

    Keywords

    Nash bargaining solution; Kalai-Smorodinsky Solution; alternating offer model; non-expected utility;
    All these keywords.

    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:wpa:wuwpga:9611001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.