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On Risk Aversion and Bargaining Outcomes

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  • 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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Bibliographic 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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Keywords: Bargaining; non-expected utility; risk aversion.;

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References

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  1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  2. Safra Zvi & Zilcha Itzhak, 1993. "Bargaining Solutions without the Expected Utility Hypothesis," Games and Economic Behavior, Elsevier, vol. 5(2), pages 288-306, April.
  3. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  4. 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.
  5. 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.
  6. 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.
  7. Oscar Volij, 1999. "Utility Equivalence in Sealed Bid Auctions and the Duel Theory of Choice Under Risk," Working Papers 99-8, Brown University, Department of Economics.
  8. Hadar, Josef & Seo, Tae Kun, 1995. "Asset diversification in Yaari's dual theory," European Economic Review, Elsevier, vol. 39(6), pages 1171-1180, June.
  9. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  10. Thomson, William, 1988. "The Manipulability of the Shapley-Value," International Journal of Game Theory, Springer, vol. 17(2), pages 101-27.
  11. Fanny Demers & Michel Demers, 1989. "Price Uncertainty, The Competitive Firm and the Dual Theory of Choice Under Risk," Carleton Industrial Organization Research Unit (CIORU) 89-09, Carleton University, Department of Economics.
  12. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The Time-Preference Nash Solution," Discussion Paper Series dp265, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  13. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
  14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
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Citations

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Cited by:
  1. Cressman, Ross & Gallego, Maria, 2009. "On the ranking of bilateral bargaining opponents," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 64-83, July.
  2. Volij, Oscar, 2002. "A Remark on Bargaining and Non-Expected Utility," Staff General Research Papers 10128, Iowa State University, Department of Economics.
  3. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The Time-Preference Nash Solution," Discussion Paper Series dp265, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  4. Kohlscheen, Emanuel & O’Connell, Stephen, 2008. "On Risk Aversion in the Rubinstein Bargaining Game," The Warwick Economics Research Paper Series (TWERPS) 878, University of Warwick, Department of Economics.
  5. 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.

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