 So, candidate \(B\) is the Borda winner. Condorcet pointed out something more: The only way to elect candidate \(A\) using any scoring method is to assign more points to candidates ranked second than to candidates ranked first. Recall that a scoring method for 3 candidates fixes weights \(s_1\ge s_2\ge s_3\), where \(s_1\) points are assigned to candidates ranked 1st, \(s_2\) points are assigned to candidates ranked 2nd, and \(s_3\) points are assigned to candidates ranked last. To simplify the calculation, assume that candidates ranked last receive 0 points (i.e., \(s_3=0\)). Then, the scores assigned to candidates \(A\) and \(B\) are: 