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Fair Division Approach Based on Clustering and Reduction of Inequalities

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  • Mputu Losala Lomo, Denis-Robert

Abstract

In this article, we intend to present our Fair Division traditional environment. As for the PCo rule, it is and Reduction of Inequalities (APCR from french for PRRG method (Resource Distribution Process at results) that we proposed in a classic environment in Approche du Partage équitable des ressources (Resource Allocation Process Based on Clustering Approach for Divisible Resources based on Clustering divisiblebasée sur la Classification automatique et la PRRC process and present the PRRG process in a Proportional method) alongside the PRRC method Réduction des inégalités). It is highlighted through the our previous work. We provide an overview of the sharing methods that we have proposed, these are: the Group level) and the PCo method (Corrected reserved for future work.

Suggested Citation

  • Mputu Losala Lomo, Denis-Robert, 2024. "Fair Division Approach Based on Clustering and Reduction of Inequalities," MPRA Paper 122701, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:122701
    as

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    File URL: https://mpra.ub.uni-muenchen.de/122701/1/MPRA_paper_122701.pdf
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    References listed on IDEAS

    as
    1. M. Pulido & P. Borm & R. Hendrickx & N. Llorca & J. Sánchez-Soriano, 2008. "Compromise solutions for bankruptcy situations with references," Annals of Operations Research, Springer, vol. 158(1), pages 133-141, February.
    2. Zaccour, Georges, 1988. "Valeur de Shapley et partage équitable des ressources," L'Actualité Economique, Société Canadienne de Science Economique, vol. 64(1), pages 96-121, mars.
    3. Marcel Boyer & Michel Moreaux & Michel Truchon, 2006. "Partage des coûts et tarification des infrastructures," CIRANO Monographs, CIRANO, number 2006mo-01.
    4. 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.
    5. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Approach; Fair Division; Distribution; Divisible resources; Clustering; Reduction of inequalities; Process; Method.;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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