[EM] Query for one and all

[Markus Schulze]

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