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A Way to Play Claims Problems

Author

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  • José-Manuel Giménez-Gómez

    (Universitat Rovira i Virgili/CREIP)

Abstract

Commitment among agents is always difficult, especially when a scarce resource is to be shared. On the one hand, there are many possible ways to assign the available amount; on the other hand, each agent is motivated to propose a distribution that maximizes her award. In this paper, we propose a mechanism that combines the diminishing claims (Chun in Math Soc Sci 17(3):245–261, 1989) and the unanimous concessions (Herrero in Advances in economic design. Springer, Berlin, 2003) procedures, thereby obtaining a new justification of rules based on averaging.

Suggested Citation

  • José-Manuel Giménez-Gómez, 2014. "A Way to Play Claims Problems," Group Decision and Negotiation, Springer, vol. 23(3), pages 617-627, May.
    • Handle: RePEc:spr:grdene:v:23:y:2014:i:3:d:10.1007_s10726-013-9347-5
    DOI: 10.1007/s10726-013-9347-5
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    References listed on IDEAS

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    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Kristof Bosmans & Luc Lauwers, 2011. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 791-807, November.
    3. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    4. Giménez-Gómez, José Manuel, 2011. "An axiomatic justification of mediation in bankruptcy problems," Working Papers 2072/169779, Universitat Rovira i Virgili, Department of Economics.
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    15. Kristof Bosmans & Luc Lauwers, 2011. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 791-807, November.
    16. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
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    Cited by:

    1. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.

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    More about this item

    Keywords

    Claims problems; Unanimous concessions procedure; Diminishing claims mechanism; Average;
    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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