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On Risk Aversion and Bargaining Outcomes

  • Oscar Volij

    (Department of Economics, Brown University, and Department of Economics, Hebrew University of Jerusalem.)

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

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  1. Zilcha & I. & Safra, Z., 1990. "Bargaining Solutions Without The Expected Utility Hypothesis," Papers 33-90, Tel Aviv.
  2. 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.
  3. 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.
  4. 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.
  5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  6. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  7. 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.
  8. 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.
  9. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
  10. Volij, Oscar, 2002. "Payoff Equivalence in Sealed Bid Auctions and the Dual Theory of Choice Under Risk," Staff General Research Papers 10129, Iowa State University, Department of Economics.
  11. Demers, Fanny & Demers, Michel, 1990. "Price uncertainty, the competitive firm and the dual theory of choice under risk," European Economic Review, Elsevier, vol. 34(6), pages 1181-1199, September.
  12. Martin J Osborne & Ariel Rubinstein, 2009. "A Course in Game Theory," Levine's Bibliography 814577000000000225, UCLA Department of Economics.
  13. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
  14. 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.
  15. Hadar, Josef & Seo, Tae Kun, 1995. "Asset diversification in Yaari's dual theory," European Economic Review, Elsevier, vol. 39(6), pages 1171-1180, June.
  16. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The Time-Preference Nash Solution," Economic theory and game theory 014, Oscar Volij.
  17. Thomson, William, 1988. "The Manipulability of the Shapley-Value," International Journal of Game Theory, Springer, vol. 17(2), pages 101-27.
  18. 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.
  19. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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