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Lower bounds rule!

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  • R. I. LUTTENS

Abstract

We propose two axioms that introduce lower bounds into resource monotonicity require- ments for rules for the problem of adjudicating con?icting claims. Suppose the amount to divide increases. The ?rst axiom requires that two claimants whose lower bound changes equally experience an equal change in awards. The second axiom requires that extra re- sources are divided only among those claimants who experience a strictly positive change in their lower bound. We show that, in the two-claimant case, Concede-and-Divide is the only rule that satis?es both axioms when the axioms are de?ned over a large set of lower bounds that include the minimal rights lower bound and the secured lower bound. We also show that, in the n-claimant case where at least one claimant claims the total amount, the Minimal Overlap rule is the only rule that satis?es both axioms when the axioms are de?ned over the secured lower bound.

Suggested Citation

  • R. I. Luttens, 2010. "Lower bounds rule!," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/683, Ghent University, Faculty of Economics and Business Administration.
    • Handle: RePEc:rug:rugwps:10/683
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    References listed on IDEAS

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    1. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    2. Juan Moreno-Ternero, 2006. "Composition, Securement, and Concede-and-divide," Spanish Economic Review, Springer;Spanish Economic Association, vol. 8(3), pages 227-237, September.
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    More about this item

    Keywords

    Claims problems; Lower bounds; Concede-and-Divide; Minimal Overlap rule.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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