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On the Relevance of Alternatives in Bargaining: Average Alternative Solutions

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  • 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.

Suggested Citation

  • Younghwan In, 2002. "On the Relevance of Alternatives in Bargaining: Average Alternative Solutions," Departmental Working Papers wp0214, National University of Singapore, Department of Economics.
  • Handle: RePEc:nus:nusewp:wp0214
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    File URL: http://www.fas.nus.edu.sg/ecs/pub/wp/wp0214.pdf
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    2. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
    3. 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.
    4. Nejat Anbarci, 1993. "Noncooperative Foundations of the Area Monotonic Solution," The Quarterly Journal of Economics, Oxford University Press, vol. 108(1), pages 245-258.
    5. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. Thomson, William, 1981. "A class of solutions to bargaining problems," Journal of Economic Theory, Elsevier, vol. 25(3), pages 431-441, December.
    8. Peters, H.J.M. & Tijs, S.H., 1985. "Characterization of all individually monotonic bargaining solutions," Other publications TiSEM 52f5a6d5-dcac-4fec-9b8e-9, Tilburg University, School of Economics and Management.
    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. Tijs, S.H. & Peters, H., 1985. "Risk sensitivity and related properties for bargaining solutions," Other publications TiSEM 9715c0e3-8f88-482e-9a95-f, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 251-264, June.

    More about this item

    Keywords

    bargaining; solutions; axioms; relevance of alternatives; average alternative solutions; monotonic bounds;

    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; Revolutions

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