IDEAS home Printed from https://ideas.repec.org/p/nid/ovolij/016.html
   My bibliography  Save this paper

A Remark on Bargaining and Non-Expected Utility

Author

Listed:
  • Oscar Volij

    (Department of Economics, Iowa State University.)

Abstract

We show that a bargaining game of alternating offers with exogenous risk of breakdown and played by dynamically consistent non-expected utility maximizers is formally equivalent to Rubinstein's (1982) game with time preference. Within this game, the behavior of dynamically consistent players is indistinguishable from the behavior of expected utility maximizers.

Suggested Citation

  • Oscar Volij, 2002. "A Remark on Bargaining and Non-Expected Utility," Economic theory and game theory 016, Oscar Volij.
  • Handle: RePEc:nid:ovolij:016
    as

    Download full text from publisher

    File URL: http://volij.co.il/publications/papers/altern.pdf
    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. Volij, Oscar, 1996. "Epistemic Conditions for Equilibrium in Beliefs without Independence," Journal of Economic Theory, Elsevier, vol. 70(2), pages 391-406, August.
    3. Crawford, Vincent P., 1990. "Equilibrium without independence," Journal of Economic Theory, Elsevier, vol. 50(1), pages 127-154, February.
    4. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    5. Green, Jerry, 1987. ""Making book against oneself," the Independence Axiom, and Nonlinear Utility Theory," Scholarly Articles 3203640, Harvard University Department of Economics.
    6. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October.
    7. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    8. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-694, October.
    9. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    10. Safra Zvi & Zilcha Itzhak, 1993. "Bargaining Solutions without the Expected Utility Hypothesis," Games and Economic Behavior, Elsevier, vol. 5(2), pages 288-306, April.
    11. Rakesh Sarin & Peter Wakker, 1994. "Folding Back in Decision Tree Analysis," Management Science, INFORMS, vol. 40(5), pages 625-628, May.
    12. Jerry Green, 1987. ""Making Book Against Oneself," the Independence Axiom, and Nonlinear Utility Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 785-796.
    13. Grant, Simon & Kajii, Atsushi, 1995. "A Cardinal Characterization of the Rubinstein-Safra-Thomson Axiomatic Bargaining Theory," Econometrica, Econometric Society, vol. 63(5), pages 1241-1249, September.
    14. 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.
    15. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    16. Irving H. LaValle & Kenneth R. Wapman, 1986. "Note---Rolling Back Decision Trees Requires the Independence Axiom!," Management Science, INFORMS, vol. 32(3), pages 382-385, March.
    17. Dekel, Eddie & Safra, Zvi & Segal, Uzi, 1991. "Existence and dynamic consistency of Nash equilibrium with non-expected utility preferences," Journal of Economic Theory, Elsevier, vol. 55(2), pages 229-246, December.
    18. Hanany, Eran & Safra, Zvi, 2000. "Existence and Uniqueness of Ordinal Nash Outcomes," Journal of Economic Theory, Elsevier, vol. 90(2), pages 254-276, February.
    19. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
    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. Efe A Ok & Yusufcan Masatlioglu, 2003. "A General Theory of Time Preferences," Levine's Bibliography 234936000000000089, UCLA Department of Economics.
    2. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Corrigendum to "Bargaining and boldness": [Games Econ. Behav. 38 (2002) 28-51]," Games and Economic Behavior, Elsevier, vol. 41(1), pages 165-168, October.

    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. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The time-preference Nash solution," Economic theory and game theory 019, Nir Dagan.
    2. Hanany, Eran, 2007. "Appeals immune bargaining solution with variable alternative sets," Games and Economic Behavior, Elsevier, vol. 59(1), pages 72-84, April.
    3. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
    4. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October.
    5. John Conley & Simon Wilkie, 2012. "The ordinal egalitarian bargaining solution for finite choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 23-42, January.
    6. Hanany, Eran, 2008. "The ordinal Nash social welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 405-422, April.
    7. Geoffroy de Clippel, 2009. "Axiomatic Bargaining on Economic Enviornments with Lott," Working Papers 2009-5, Brown University, Department of Economics.
    8. 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.
    9. Huang, Rachel J. & Huang, Yi-Chieh & Tzeng, Larry Y., 2013. "Insurance bargaining under ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 812-820.
    10. Philip Grech & Oriol Tejada, 2018. "Divide the dollar and conquer more: sequential bargaining and risk aversion," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1261-1286, November.
    11. Hanany, Eran & Safra, Zvi, 2000. "Existence and Uniqueness of Ordinal Nash Outcomes," Journal of Economic Theory, Elsevier, vol. 90(2), pages 254-276, February.
    12. 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.
    13. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2021. "Bargaining in the Family," CHILD Working Papers Series 88 JEL Classification: D1, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
    14. Valenciano, Federico & Zarzuelo, Jose M., 1997. "On Nash's Hidden Assumption," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 266-281, October.
    15. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
    16. Jean-Paul Chavas & Eleonora Matteazzi & Martina Menon & Federico Perali, 2022. "(In)Efficient Bargaining in the Family," Working Papers 2, SITES.
    17. Eran Hanany, 2001. "Ordinal Nash Social Welfare Function," Discussion Papers 1325, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Corrigendum to "Bargaining and boldness": [Games Econ. Behav. 38 (2002) 28-51]," Games and Economic Behavior, Elsevier, vol. 41(1), pages 165-168, October.
    19. Venkat Venkatasubramanian & Yu Luo, 2018. "How much income inequality is fair? Nash bargaining solution and its connection to entropy," Papers 1806.05262, arXiv.org.
    20. Safra, Zvi & Segal, Uzi, 1998. "Constant Risk Aversion," Journal of Economic Theory, Elsevier, vol. 83(1), pages 19-42, November.

    More about this item

    Keywords

    Bargaining; non-expected utility.;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    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:nid:ovolij:016. 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: Oscar Volij (email available below). General contact details of provider: http://volij.co.il/ .

    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.