Gj. Otten et al., 2 CHARACTERIZATIONS OF THE UNIFORM RULE FOR DIVISION PROBLEMS WITH SINGLE-PEAKED PREFERENCES, Economic theory, 7(2), 1996, pp. 291-306
The uniform rule is considered to be the most important rule for the p
roblem of allocating an amount of a perfectly divisible good between a
gents who have single-peaked preferences. The uniform rule was studied
extensively in the literature and several characterizations were prov
ided. The aim of this paper is to provide two different formulations a
nd corresponding axiomatizations of the uniform rule. These formulatio
ns resemble the Nash and the lexicographic egalitarian bargaining solu
tions; the corresponding axiomatizations are based on axioms of indepe
ndence of irrelevant alternatives and restricted monotonicity.