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On the Relevance of Alternatives in Bargaining: Average Alternative Solutions

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Author Info
Younghwan In () (National University of Singapore)
Abstract

We compare bargaining solutions in terms of the relevance of alternatives. We show that most well-known bargaining solutions do not use all the alternatives, but there are numerous bargaining solutions that do. We introduce a new class of bargaining solutions called ``average alternative solutions'', characterize them, and show that the Nash solution and the Kalai-Smorodinsky solution are limits of average alternative solutions. We also provide alternative characterizations for the Nash solution and the Kalai-Smorodinsky solution.

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File URL: http://www.fas.nus.edu.sg/ecs/pub/wp/wp0214.pdf
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Paper provided by National University of Singapore, Department of Economics in its series Departmental Working Papers with number wp0214.

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Length: 32 pages
Date of creation: Sep 2002
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Handle: RePEc:nus:nusewp:wp0214

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Related research
Keywords: bargaining; solutions; axioms; relevance of alternatives; average alternative solutions; monotonic bounds;

Find related papers by JEL classification:
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
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances

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  1. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May. [Downloadable!] (restricted)
  2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
  3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  4. Anbarci, Nejat, 1993. "Noncooperative Foundations of the Area Monotonic Solutions," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 245-58, February. [Downloadable!] (restricted)
  5. 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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  6. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics. [Downloadable!]
  7. Anbarci, Nejat & Bigelow, John P., 1994. "The area monotonic solution to the cooperative bargaining problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 133-142, October. [Downloadable!] (restricted)
  8. Thomson, William, 1981. "A class of solutions to bargaining problems," Journal of Economic Theory, Elsevier, vol. 25(3), pages 431-441, December. [Downloadable!] (restricted)
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  1. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer, vol. 37(2), pages 251-264, June. [Downloadable!] (restricted)
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