Dear John B. Hodges, the following example demonstrates that Bucklin is vulnerable to "compromising" (i.e. insincerely ranking a candidate higher to make him win).
Example: 4 A > B > C 3 B > C > A 2 C > A > B The unique Bucklin winner is candidate B. However, if the 2 CAB voters had insincerely voted ACB then the unique Bucklin winner would have been candidate A. Since these 2 CAB voters strictly prefer candidate A to candidate B, voting ACB instead of CAB to change the winner from candidate B to candidate A is a useful strategy for them. ****** The following example demonstrates that Bucklin is vulnerable to "burying" (i.e. insincerely ranking a candidate lower to make him lose). Example: 4 A > D > C > B > E 2 B > C > A > D > E 3 C > A > E > D > B The unique Bucklin winner is candidate A. However, if the 3 CAEDB voters had insincerely voted CEDBA then the unique Bucklin winner would have been candidate C. Since these 3 CAEDB voters strictly prefer candidate C to candidate A, voting CEDBA instead of CAEDB to change the winner from candidate A to candidate C is a useful strategy for them. Markus Schulze ---- Election-methods mailing list - see http://electorama.com/em for list info