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From Bargaining Solutions to Claims Rules: A Proportional Approach

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Listed:
  • Giménez-Gómez, José-Manuel

    (Universitat Rovira i Virgili)

  • Osorio, Antonio

    (Universitat Rovira i Virgili)

  • Peris, Josep Enric

    (Universitat d'Alacant)

Abstract

Is it important to negotiate on proportions rather than on numbers? To answer this question, we analyze the behavior of well-known bargaining solutions and the claims rules they induce when they are applied to a "proportionally transformed" bargaining set SP so-called bargaining-in-proportions set. The idea of applying bargaining solutions to claims problems was already developed in Dagan and Volij (1993). They apply the bargaining solutions over a bargaining set that is the one de ned by the claims and the endowment. A comparison among our results and theirs is provided.

Suggested Citation

  • Giménez-Gómez, José-Manuel & Osorio, Antonio & Peris, Josep Enric, 2013. "From Bargaining Solutions to Claims Rules: A Proportional Approach," QM&ET Working Papers 13-2, University of Alicante, D. Quantitative Methods and Economic Theory.
    • Handle: RePEc:ris:qmetal:2013_002
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    References listed on IDEAS

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    1. Sudhölter, Peter & Zarzuelo, José M., 2013. "Extending the Nash solution to choice problems with reference points," Games and Economic Behavior, Elsevier, vol. 80(C), pages 219-228.
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    Cited by:

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    More about this item

    Keywords

    Bargaining problem; Claims problem; Proportional Constrained Equal Awards; Constrained Equal Losses; Nash bargaining solution;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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