# Halfway Bucklin Tiebreaker

DEMOREP1 at aol.com DEMOREP1 at aol.com
Tue Jun 30 11:38:16 PDT 1998

```Supplement 1
More on the theory--
DC = Desired Choices, CC = Compromise Choices (i.e. lesser of evils choices),
OC = Opposed Choices, N = Number of votes for each type of vote

N1       DC      CC     OC
N2       DC      CC     OC
N3       DC      CC     OC
N4       DC      CC     OC
N5       DC      CC     OC
N6       DC      CC     OC
etc.

If there is a Condorcet circular tie, then at the halfway choice column
(column 2 for 3 or 4 tied choices, column 3 for 5 or 6 tied choices, etc.)
using Bucklin's accumulation of votes for each choice, there will be a choice
The above has the tied choices only such that the method might be called
Majority//Condorcet//Smith//Halfway Bucklin or MACOSHAB.

(the *Majority* being my suggested YES/NO vote on each choice and Smith to
deal with the slight possibility of subset ties)

For legislative bodies (with 1 effective vote), only the Condorcet and Halfway
Bucklin parts would apply to those candidates who are not Condorcet winners
(CW) or Condorcet losers (CL).
Example- elect 5 legislators in a district, 9 candidates
CW1  CW2  CW3  C1   C2   C3   C4    CL1  CL2
CW1 to CW3 win in all of their combinations of 5 versus any other 4
CL1 to CL 2 lose in all of their combinations of 5 versus any other 4
C1 to C4 are in a circular tie for the 2 remaining positions

```