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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. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
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    6. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
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    8. 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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    10. 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.
    11. Gardenfors, Peter, 1976. "Manipulation of social choice functions," Journal of Economic Theory, Elsevier, vol. 13(2), pages 217-228, October.
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    Cited by:

    1. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    2. 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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