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Social threshold aggregations |
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| Authors: | Fuad T Aleskerov Vyacheslav V Chistyakov Valery A Kalyagin |
| Institution: | 1. Department of Mathematics for Economics, State University Higher School of Economics, Myasnitskaya Street 20, Moscow, 101000, Russia 2. Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia 3. Department of Applied Mathematics and Computer Science, State University Higher School of Economics, Bol’shaya Pech?rskaya Street 25/12, Nizhny Novgorod, 603155, Russia |
| 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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