Abstract
A problem of axiomatic construction of a social decision function is studied for the case when individual opinions of agents are given as m-graded preferences with arbitrary integer m ≥ 3. It is shown that the only rule satisfying the introduced axioms of Pairwise Compensation, Pareto Domination and Noncompensatory Threshold and Contraction is the threshold rule.
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Aleskerov, F.T., Chistyakov, V.V. & Kalyagin, V.A. Social threshold aggregations. Soc Choice Welf 35, 627–646 (2010). https://doi.org/10.1007/s00355-010-0454-9
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DOI: https://doi.org/10.1007/s00355-010-0454-9