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<p> <?tk 2?>We provide axiomatic characterizations of the constrained equal awards and constrained equal losses rules by imposing immunity principles such as non-manipulability via merging (splitting) and strong non-manipulability via merging (splitting). We show that the constrained equal awards rule is the unique rule satisfying strong non-manipulability via merging and contraction independence. Replacing contraction independence with the weaker condition of independence of redundant claims yields a new characterization. Moreover, strong non-manipulability via merging in the above two axiomatizations can be substituted by consistency and non-manipulability via merging. By duality, we achieve parallel characterizations of the constrained equal losses rule.</p>

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Claims manipulations discriminate between egalitarian rules

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Xiuxia Yin,
  • Pedro Calleja,
  • Josep M. Izquierdo

摘要

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