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Claims manipulations discriminate between egalitarian rules

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We provide axiomatic characterizations of the constrained equal awards and constrainedequal losses rules by imposing immunity principles such as non-manipulability via merging(splitting) and strong non-manipulability via merging (splitting). We show that the constrainedequal awards rule is the unique rule satisfying strong non-manipulability via mergingand contraction independence. Replacing contraction independence with the weaker conditionof independence of redundant claims yields a new characterization. Moreover, strongnon-manipulability via merging in the above two axiomatizations can be substituted byconsistency and non-manipulability via merging. By duality, we achieve parallel characterizationsof the constrained equal losses rule.

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YIN, Xiuxia, CALLEJA, Pere, IZQUIERDO AZNAR, Josep maria. Claims manipulations discriminate between egalitarian rules. _Theory and Decision_. 2025. [consulta: 2 de febrer de 2026]. ISSN: 0040-5833. [Disponible a: https://hdl.handle.net/2445/225830]

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