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Constrained multi-issue rationing problems

Author

Listed:
  • Josep Maria Izquierdo Aznar

    (Universitat de Barcelona)

  • Pere Timoner Lledó

    (Universitat de Barcelona)

Abstract

We study a variant of the multi-issue rationing model, where agents claim for several issues. In this variant, the available amount of resource intended for each issue is constrained to an amount fixed a priori according to exogenous criteria. The aim is to distribute the amount corresponding to each issue taking into account the allocation for the rest of issues (issue-allocation interdependence). We name these problems constrained multi-issue allocation situations (CMIA). In order to tackle the solution to these problems, we first reinterpret some single-issue egalitarian rationing rules as a minimization program based on the idea of finding the feasible allocation as close as possible to a specific reference point. We extend this family of egalitarian rules to the CMIA framework. In particular, we extend the constrained equal awards rule, the constrained equal losses rule and the reverse Talmud rule to the multi-issue rationing setting, which turn out to be particular cases of a family of rules, namely the extended a-egalitarian family. This family is analysed and characterized by using consistency principles (over agents and over issues) and a property based on the Lorenz dominance criterion.

Suggested Citation

  • Josep Maria Izquierdo Aznar & Pere Timoner Lledó, 2016. "Constrained multi-issue rationing problems," UB School of Economics Working Papers 2016/347, University of Barcelona School of Economics.
    • Handle: RePEc:ewp:wpaper:347web
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    References listed on IDEAS

    as
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    Cited by:

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    2. Algaba, E. & Márquez, G. & Martínez-Lozano, J. & Sánchez-Soriano, J., 2023. "A novel methodology for public management of annual greenhouse gas emissions in the European Union," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).
    3. Acosta-Vega, Rick K. & Algaba, Encarnación & Sánchez-Soriano, Joaquín, 2023. "Design of water quality policies based on proportionality in multi-issue problems with crossed claims," European Journal of Operational Research, Elsevier, vol. 311(2), pages 777-788.
    4. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On priority in multi-issue bankruptcy problems with crossed claims," Papers 2205.00450, arXiv.org, revised Sep 2022.
    5. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.

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    More about this item

    Keywords

    rationing; multi-issue; reverse Talmud rule; equal losses rule; egalitarian family.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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