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On risk aversion and bargaining outcomes

  • Volij, Oscar
  • Winter, Eyal

We revisit the well-known result that asserts that an increase in the degree of one's risk aversion improves the position of one's opponents. To this end, we apply Yaari's dual theory of choice under risk both to Nash's bargaining problem and to Rubinstein's game of alternating offers. Under this theory, 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 one's degree of risk aversion increases one's share of the pie.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 41 (2002)
Issue (Month): 1 (October)
Pages: 120-140

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Handle: RePEc:eee:gamebe:v:41:y:2002:i:1:p:120-140
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  1. Hadar, Josef & Seo, Tae Kun, 1995. "Asset diversification in Yaari's dual theory," European Economic Review, Elsevier, vol. 39(6), pages 1171-1180, June.
  2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  3. Volij, Oscar, 2002. "Payoff equivalence in sealed bid auctions and the dual theory of choice under risk," Economics Letters, Elsevier, vol. 76(2), pages 231-237, July.
  4. 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.
  5. Nir Dagan & Oscar Volij & Eyal Winter, 2001. "The Time-Preference Nash Solution," Economic theory and game theory 014, Oscar Volij.
  6. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, 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. 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.
  9. 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.
  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. Murnigham, J.K. & Roth, A.E. & Schoumaker, F., 1985. "Risk Aversion in Bargaining: an Experimental Study," Cahiers de recherche 8536, Universite de Montreal, Departement de sciences economiques.
  12. 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.
  13. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  14. 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.
  15. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
  16. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
  17. Thomson, William, 1988. "The Manipulability of the Shapley-Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 101-27.
  18. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  19. 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.
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