Mr. Eppley wrote in part-
My software generates voters' rankings (randomly), and turns up scenarios
where IBCM & MTM (majoritarian Tideman) are decisive and disagree. Here's an
example which closes the question affirmatively:
32 voters' rankings:
3: ABCD
3: ABDC
1: ADBC
2: BADC
1: BCAD
2: BCDA
2: CABD
2: CBAD
2: CBDA
2: CDAB
1: CDBA
2: DABC
2: DACB
1: DBAC
3: DBCA
3: DCAB
Majorities: AB18,CA18,DA18,BC18,BD17,DC17
IBCM elects: B
MTM elects: D
Schulze elects: D
----
D-
Choice Votes
1 2 1+2
A 7 8 15
B 5 14 19 Only majority
C 9 6 15
D 11 4 15
32 32 64