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Bargaining With Set-Valued Disagreement

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  • Kaushik Basu

    (Delhi School of Economics)

Abstract

It is arguable that in many two-person bargaining situations disagreement leads to a set of possible payoffs with no probabilities attached to the elements of the set. Axioms are developed for bargaining games of this kind and solution concepts are derived from these axioms. Particular attention is paid to what are here called the 'max-max' and 'rectangular general' solutions. The latter can be applied to an important sub-class of bargaining games where the disagreement set is equal to the feasible set.

Suggested Citation

  • Kaushik Basu, 1994. "Bargaining With Set-Valued Disagreement," Working papers 14, Centre for Development Economics, Delhi School of Economics.
  • Handle: RePEc:cde:cdewps:14
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    References listed on IDEAS

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    1. Thomson,William & Lensberg,Terje, 2006. "Axiomatic Theory of Bargaining with a Variable Number of Agents," Cambridge Books, Cambridge University Press, number 9780521027038.
    2. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
    3. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    4. Kannai, Yakar & Peleg, Bezalel, 1984. "A note on the extension of an order on a set to the power set," Journal of Economic Theory, Elsevier, vol. 32(1), pages 172-175, February.
    5. Barbera, S. & Barrett, C. R. & Pattanaik, Prasanta K., 1984. "On some axioms for ranking sets of alternatives," Journal of Economic Theory, Elsevier, vol. 33(2), pages 301-308, August.
    6. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Anant, T. C. A. & Mukherji, Badal & Basu, Kaushik, 1990. "Bargaining without convexity : Generalizing the Kalai-Smorodinsky solution," Economics Letters, Elsevier, vol. 33(2), pages 115-119, June.
    9. Gardenfors, Peter, 1976. "Manipulation of social choice functions," Journal of Economic Theory, Elsevier, vol. 13(2), pages 217-228, October.
    10. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    11. Barbera, Salvador & Pattanaik, Prasanta K., 1984. "Extending an order on a Set to the power set: Some remarks on Kannai and Peleg's approach," Journal of Economic Theory, Elsevier, vol. 32(1), pages 185-191, February.
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    Cited by:

    1. Bishwanath Goldar & Badal Mukherji, 1998. "Pollution Abatement Cost Function: Methodological And Estimation Issues," Working papers 56, Centre for Development Economics, Delhi School of Economics.
    2. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    3. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.

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