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The constrained equal losses family of rules for claims problems

Author

Listed:
  • José-Manuel Giménez-Gómez

    (Universitat Rovira i Virgili)

  • Foroogh Salekpay

    (Universitat Rovira i Virgili
    Universitat Autónoma de Barcelona)

  • Cori Vilella

    (Universitat Rovira i Virgili)

Abstract

In this study, we introduce a family of rules for claims problems called the CEL-family. The family is defined by means of a parameter $$\theta \in [0,1]$$ θ ∈ [ 0 , 1 ] as a notion of solidarity and contribution. It contains the constrained equal losses and the constrained equal awards rules. We perform an axiomatic analysis considering the main properties in the literature, for the sake of comparison. We apply the family to the distribution of the European Regional Development Funds to study how the rules in the family treat regions with relatively smaller claims compared to regions with relatively larger claims.

Suggested Citation

  • José-Manuel Giménez-Gómez & Foroogh Salekpay & Cori Vilella, 2025. "The constrained equal losses family of rules for claims problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(1), pages 56-73, April.
    • Handle: RePEc:spr:topjnl:v:33:y:2025:i:1:d:10.1007_s11750-024-00677-9
    DOI: 10.1007/s11750-024-00677-9
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