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From Bargaining Solutions to Claims Rules: A Proportional Approach

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  • José-Manuel Giménez-Gómez

    (Universitat Rovira i Virgili, Departament d'Economia and CREIP, Av. Universitat 1, Reus 43204, Spain)

  • António Osório

    (Universitat Rovira i Virgili, Departament d'Economia and CREIP, Av. Universitat 1, Reus 43204, Spain)

  • Josep E. Peris

    (Universitat d'Alacant, Departament de Mètodes Quantitatius i Teoria Econòmica, Alacant 03080, Spain)

Abstract

Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a correspondence between classical bargaining solutions and usual claims rules. In particular, we show that the constrained equal losses, the truncated constrained equal losses and the contested garment (Babylonian Talmud) rules can be obtained throughout the Nash bargaining solution.

Suggested Citation

  • José-Manuel Giménez-Gómez & António Osório & Josep E. Peris, 2015. "From Bargaining Solutions to Claims Rules: A Proportional Approach," Games, MDPI, vol. 6(1), pages 1-7, March.
    • Handle: RePEc:gam:jgames:v:6:y:2015:i:1:p:32-38:d:46452
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    References listed on IDEAS

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    More about this item

    Keywords

    bargaining problem; conflicting claims problem; proportionality; bargaining solutions; claims rules;
    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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