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Efficient solutions to bargaining problems with uncertain disagreement points

Author

Listed:
  • Hans Peters

    (Department of Quantitative Economics, University of Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • Walter Bossert

    (Département de Sciences Economiques and C.R.D.E., Université de Montréal, C.P. 6128, succursale Centre-ville, Montréal QC H3C 3J7, Canada)

Abstract

We consider a cooperative model of bargaining where the location of the disagreement point may be uncertain. Based on the maximin criterion, we formulate an ex ante efficiency condition and characterize the class of bargaining solutions satisfying this axiom. These solutions are generalizations of the monotone path solutions. Adding individual rationality yields a subclass of these solutions. By employing maximin efficiency and an invariance property that implies individual rationality, a new axiomatization of the monotone path solutions is obtained. Furthermore, we examine the consequences of employing efficiency axioms based on alternative decision criteria.

Suggested Citation

  • Hans Peters & Walter Bossert, 2002. "Efficient solutions to bargaining problems with uncertain disagreement points," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 489-502.
  • Handle: RePEc:spr:sochwe:v:19:y:2002:i:3:p:489-502
    Note: Received: 17 March 2000/Accepted: 15 January 2001
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    Citations

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    Cited by:

    1. Cressman, Ross & Gallego, Maria, 2009. "On the ranking of bilateral bargaining opponents," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 64-83, July.
    2. Bossert, Walter & Derks, Jean & Peters, Hans, 2005. "Efficiency in uncertain cooperative games," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 12-23, July.
    3. NAKAMURA, Kensei, 2023. "Characterizing the Nash bargaining solution with continuity and almost no individual rationality," Discussion Papers 2023-02, Graduate School of Economics, Hitotsubashi University.
    4. Walter Bossert & Hans Peters, 2022. "Individual disagreement point concavity and the bargaining problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 6-15, March.
    5. Amparo Mármol & Clara Ponsatí, 2008. "Bargaining over multiple issues with maximin and leximin preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(2), pages 211-223, February.

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