IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/122924.html
   My bibliography  Save this paper

The Clustering Method Applied in a Fair Division Process

Author

Listed:
  • Mputu Losala Lomo, Denis-Robert

Abstract

In this paper, we intend to present our two processes for the equitable sharing of resources which use several variables, take into account the type of variables and the origin of the resource, involving in particular the notions of data transformation and of clustering used in Statistics. These processes are: PRRS (for Procédé de la Répartition des Ressources Sans réduction des inégalités, in English Process of the Distribution of Resources without reduction of inequalities) and PRRC (for Procédé de la Répartition des Ressourcesà partir des résultats de la Classification, in English Process of the Distribution of Resources from Clustering results). They come to solve the problem of injustice in a sharing of resources (in particular, a sum of money), the injustice due to 1) the use of a single variable (criterion) instead of several, 2) the direct use of homogeneous variables where the same unit of measurement is expressed differently for each variable, 3) the direct use of heterogeneous variables and 4) the lack of reduction of inequalities between individuals, in certain cases.

Suggested Citation

  • Mputu Losala Lomo, Denis-Robert, 2023. "The Clustering Method Applied in a Fair Division Process," MPRA Paper 122924, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:122924
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/122924/1/MPRA_paper_122924.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Michel Le Breton & Karine Van der Straeten, 2013. "Alliances électorales entre deux tours de scrutin. Le point de vue de la théorie des jeux coopératifs et une application aux élections régionales de mars 2010," Revue économique, Presses de Sciences-Po, vol. 64(2), pages 173-240.
    2. Michel Forse & Maxime Parodi, 2007. "Perception des inégalités économiques et sentiment de justice sociale," Post-Print hal-03459619, HAL.
    3. 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.
    4. Marcel Boyer & Michel Moreaux & Michel Truchon, 2006. "Partage des coûts et tarification des infrastructures," CIRANO Monographs, CIRANO, number 2006mo-01.
    5. Michel Forsé & Maxime Parodi, 2007. "Perception des inégalités économiques et sentiment de justice sociale," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(3), pages 483-540.
    6. Tejedo, Cyril & Truchon, Michel, 2002. "Serial cost sharing in multidimensional contexts," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 277-299, December.
    7. Mputu Losala Lomo, Denis-Robert, 2022. "Application de la Classification Ascendante Hiérarchique à la Répartition des Ressources Budgétaires dans la Ville-Province de Kinshasa [Application of Hierarchical Ascendant Clustering to the Dist," MPRA Paper 113774, University Library of Munich, Germany.
    8. 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.
    9. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09haccl28o2 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mputu Losala Lomo, Denis-Robert, 2024. "Fair Division Approach Based on Clustering and Reduction of Inequalities," MPRA Paper 122701, University Library of Munich, Germany.
    2. William Thomson, 2007. "On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 225-251, November.
    3. Ketelaars, Martijn & Borm, Peter & Herings, P.J.J., 2023. "Duality in Financial Networks," Other publications TiSEM 26750293-9599-4e05-9ae1-8, Tilburg University, School of Economics and Management.
    4. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    5. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    6. Lahiri, Somdeb, 2001. "Axiomatic characterizations of the CEA solution for rationing problems," European Journal of Operational Research, Elsevier, vol. 131(1), pages 162-170, May.
    7. Padilla Tinoco, Silvia Valeria & Creemers, Stefan & Boute, Robert N., 2017. "Collaborative shipping under different cost-sharing agreements," European Journal of Operational Research, Elsevier, vol. 263(3), pages 827-837.
    8. Sylvain Béal & Stéphane Gonzalez & Philippe Solal & Peter Sudhölter, 2023. "Axiomatic characterizations of the core without consistency," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 687-701, September.
    9. Dutta, Bhaskar & Ehlers, Lars & Kar, Anirban, 2010. "Externalities, potential, value and consistency," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2380-2411, November.
    10. Pálvölgyi, Dénes & Peters, Hans & Vermeulen, Dries, 2014. "A strategic approach to multiple estate division problems," Games and Economic Behavior, Elsevier, vol. 88(C), pages 135-152.
    11. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2010. "Baseline Rationing," Discussion Papers 10-16, University of Copenhagen. Department of Economics.
    12. 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.
    13. Nir Dagan & Oscar Volij & Roberto Serrano, 1999. "Feasible implementation of taxation methods," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 57-72.
    14. Arantza Estévez-Fernández & Peter Borm & M. Gloria Fiestras-Janeiro, 2020. "Nontransferable utility bankruptcy games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 154-177, April.
    15. Peris, Josep E. & Jiménez-Gómez, José M., 2012. "A Proportional Approach to Bankruptcy Problems with a guaranteed minimum," QM&ET Working Papers 12-7, University of Alicante, D. Quantitative Methods and Economic Theory.
    16. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
    17. repec:unu:wpaper:wp2012-57 is not listed on IDEAS
    18. Carlos González-Alcón & Peter Borm & Ruud Hendrickx, 2007. "A composite run-to-the-bank rule for multi-issue allocation situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(2), pages 339-352, April.
    19. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    20. Gabrielle Demange, 2021. "On the resolution of cross-liabilities," PSE Working Papers halshs-03151128, HAL.
    21. Samir AMINE, 2017. "Job complexity and wage bargaining," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(1(610), S), pages 189-196, Spring.

    More about this item

    Keywords

    Ascending Hierarchical Classification; Equitable sharing; Resource; Process; Reduction of inequalities.;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:122924. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.