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On the Ranking of Bilateral Bargaining Opponents

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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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Bibliographic Info

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

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References

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  1. 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.
  2. Maria Gallego, David Scoones, 2005. "The Art of Compromise," Working Papers eg0042, Wilfrid Laurier University, Department of Economics, revised 2005.
  3. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
  4. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  5. de Koster, R. & Peters, H. J. M. & Tijs, S. H. & Wakker, P., 1983. "Risk sensitivity, independence of irrelevant alternatives and continuity of bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 4(3), pages 295-300, July.
  6. 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.
  7. Athey, Susan, 2002. "Monotone Comparative Statics Under Uncertainty," Scholarly Articles 3372263, Harvard University Department of Economics.
  8. Susan Athey, 2002. "Monotone Comparative Statics Under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 117(1), pages 187-223, February.
  9. 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.
  10. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, October.
  11. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  12. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  13. Alvin E Roth, 2008. "Axiomatic Models of Bargaining," Levine's Working Paper Archive 122247000000002376, David K. Levine.
  14. Alejandro Saporiti & Fernando Tohmé, 2006. "Single-Crossing, Strategic Voting and the Median Choice Rule," Social Choice and Welfare, Springer, vol. 26(2), pages 363-383, April.
  15. 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.
  16. Volij, Oscar & Winter, Eyal, 2002. "On Risk Aversion and Bargaining Outcomes," Staff General Research Papers 10130, Iowa State University, Department of Economics.
  17. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-41, November.
  18. 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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Cited by:
  1. Maria Gallego, David Scoones, 2005. "The Art of Compromise," Working Papers eg0042, Wilfrid Laurier University, Department of Economics, revised 2005.
  2. Maria Gallego & David Scoones, 2011. "Intergovernmental negotiation, willingness to compromise, and voter preference reversals," Social Choice and Welfare, Springer, vol. 36(3), pages 591-610, April.

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