[EM] which voting methods fail WMW?

[Warren Smith]

>> wds:
>> Robla failed to mention that range voting *does* obey a weakened form of
>>the majority-winner criterion (call it "WMW").  Specifically:
>>    "If a strict majority of the voters regard X as their unique favorite, then
>>   they, acting alone without regard to what the other voters do, can force his election."
>>I don't know about you, but I personally regard WMW as a more-desirable critrion for
>>a voting system to obey, than Anderson 1994's MW criterion.

>Chris  Benham:
>Are there any  methods actually  *fail*  this criterion?   Borda perhaps?

--response by wds:
yes, Borda fails it.  So does the somewhat Borda-like method used
on the Island of Nauru.  So does Coombs' IRV-like voting method.
Also Ken Arrow's favorite voting method (or so I heard) the Arrow-Raynaud method,
fails this test.

Range voting, however, passes this test.
wds