Based on the leximin and leximax preferences, we consider two threshold preference relations on the set X of alternatives, each of which is characterized by an n-dimensional vector (n ≥ 2) with integer components varying between 1 and m(m ≥ 2). We determine explicitly in terms of binomial...

For a social decision problem we define a new aggregation procedure--the threshold rule--for the construction of an output ranking from the individual m-graded rankings with an arbitrary integer m >= 2. An axiomatic characterization of the procedure is given.