The Borda and Condorcet winners coincide for lexicographic preferences
证明了在任何字典序偏好下,博尔达计分法和孔多塞方法的胜者集合相同,败者集合也相同,但两种方法产生的二元关系并不一致。
We show that, for any lexicographic preference profile, the sets of Borda and Condorcet winners coincide. Moreover, the sets of Borda and Condorcet losers also coincide. However the binary relations induced by the Borda Count and the majority pairwise comparisons are not the same.