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On Risk Aversion and Bargaining Outcomes

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Author Info
Oscar Volij (Department of Economics, Brown University, and Department of Economics, Hebrew University of Jerusalem.)
Abstract

We revisit the well known result that asserts that and increase in the degree of one's risk aversion improves the position one's opponents. for this purpose, we apply Yaari's dual theory of choice under risk both to Nash's bargaining problem and to Rubinstein's game of alternating offers. Within this theory and unlike under expected utility, risk aversion influences the bargaining outcome only when this outcome is random, namely, when the players are risk lovers. In this case, an increase in ones degree of risk aversion, increases one's share of the pie.

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Publisher Info
Paper provided by Oscar Volij in its series Economic theory and game theory with number 010.

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Date of creation: 06 Sep 1999
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Publication status: Published in Games and Economic Behavior 41(1), 120-140, (2002)
Handle: RePEc:nid:ovolij:010

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Postal: Oscar Volij, Department of Economics, Ben-Gurion University, Beer-Sheva 84105, Israel
Web page: http://volij.co.il/

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Web: http://volij.co.il/addr.html

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Related research
Keywords: Bargaining; non-expected utility; risk aversion.;

Other versions of this item:

Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March. [Downloadable!] (restricted)
  2. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May. [Downloadable!] (restricted)
  3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401.
    Other versions:
  4. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-11, January. [Downloadable!] (restricted)
  5. Oscar Volij, 1999. "Utility Equivalence in Sealed Bid Auctions and the Dual Theory of Choice Under Risk," Economic theory and game theory 009, Oscar Volij, revised 25 Mar 1999. [Downloadable!]
  6. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  7. Murnighan, J Keith & Roth, Alvin E & Schoumaker, Francoise, 1988. " Risk Aversion in Bargaining: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 101-24, March.
    Other versions:
  8. Roth, Alvin E & Rothblum, Uriel G, 1982. "Risk Aversion and Nash's Solution for Bargaining Games with Risky Outcomes," Econometrica, Econometric Society, vol. 50(3), pages 639-47, May. [Downloadable!] (restricted)
  9. Thomson, William, 1988. "The Manipulability of the Shapley-Value," International Journal of Game Theory, Springer, vol. 17(2), pages 101-27.
  10. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer. [Downloadable!] (restricted)
  11. 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 1171-86, September. [Downloadable!] (restricted)
  12. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The Time-Preference Nash Solution," Economic theory and game theory 014, Oscar Volij. [Downloadable!]
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  13. Roth, Alvin E, 1989. " Risk Aversion and the Relationship between Nash's Solution and Subgame Perfect Equilibrium of Sequential Bargaining," Journal of Risk and Uncertainty, Springer, vol. 2(4), pages 353-65, December.
  14. Safra, Zvi & Zhou, Lin & Zilcha, Itzhak, 1990. "Risk Aversion in the Nash Bargaining Problem with Risky Outcomes and Risky Disagreement Points," Econometrica, Econometric Society, vol. 58(4), pages 961-65, July. [Downloadable!] (restricted)
  15. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  16. Hadar, Josef & Seo, Tae Kun, 1995. "Asset diversification in Yaari's dual theory," European Economic Review, Elsevier, vol. 39(6), pages 1171-1180, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The time-preference Nash solution," Economic theory and game theory 019, Nir Dagan. [Downloadable!]
    Other versions:
  2. Oscar Volij, 2002. "A Remark on Bargaining and Non-Expected Utility," Economic theory and game theory 016, Oscar Volij. [Downloadable!]
  3. Peters,Hans & Köbberling,Vera, 2000. "The Effect of Decision Weights in Bargaining Problems," Research Memoranda 037, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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