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On the Ranking of Bilateral Bargaining Opponents

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Author Info
Ross Cressman, Maria Gallego () (Wilfrid Laurier University)
Abstract

We fix the status quo (Q) and one of the bilateral bargaining agents to examine how shifting the opponent.s ideal point (type) away from Q in a unidimensional space affects the Nash and Kalai-Smorodinsky bargaining solutions when opponents differ only in their ideal points. The results are similar for both solutions. As anticipated, the bargainer whose ideal point is farthest from Q prefers a opponent whose ideal is closest to her own. A similar intuitive ranking emerges for the player closest to Q when opponent\'s preferences exhibit increasing absolute risk aversion. However, if the opponent\'s preferences exhibit decreasing absolute risk aversion (DARA), the player closest to Q prefers a more extreme opponent. This unintuitive result arises for opponents with DARA preferences because the farther their ideal point is from Q, the easier they are to satisfy.

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File URL: http://www.wlu.ca/documents/7723/Cressman%2526Gallego_May_05.pdf
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Paper provided by Wilfrid Laurier University, Department of Economics in its series Working Papers with number eg0043.

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Length: 37
Date of creation: 2005
Date of revision: 2005
Handle: RePEc:wlu:wpaper:eg0043

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Related research
Keywords: Game Theory; Nash bargaining problems; bargaining solutions; rankings;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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  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. Bossert, W., 1990. "Disagreement Point Monotonicity, Transfer Responsiveness, And The Egalitarian Bargaining Solution," UBC Departmental Archives 90-07, UBC Department of Economics.
  3. 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. [Downloadable!] (restricted)
  4. Volij, Oscar & Winter, Eyal, 2002. "On risk aversion and bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 41(1), pages 120-140, October. [Downloadable!] (restricted)
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  5. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Bibliography 122247000000002376, UCLA Department of Economics. [Downloadable!]
  6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  7. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
  8. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier. [Downloadable!] (restricted)
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  9. Hans Peters & Walter Bossert, 2002. "Efficient solutions to bargaining problems with uncertain disagreement points," Social Choice and Welfare, Springer, vol. 19(3), pages 489-502. [Downloadable!] (restricted)
  10. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June. [Downloadable!] (restricted)
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