 To see that the Borda count violates strategy-proofness, recall the example of Tables 3 and 4 above. If Individual 1 in Table 3 truthfully submits the preference ordering \(yP_1 xP_1 zP_1 w\), the Borda winner is \(z\), as we have seen. If Individual 1 falsely submits the preference ordering \(xP_1 yP_1 wP_1 z\), as in Table 4, the Borda winner is \(x\). But Individual 1 prefers \(x\) to \(z\) according to his or her true preference ordering (in Table 3), and so he or she has an incentive to vote strategically.