Claims manipulations discriminate between egalitarian rules

Abstract

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.