[EM] Majority Criterion poor standard for elections

[Simmons, Forest]

It seems to me that if there is a majority winner, then she should at least have a chance of winning.  What if we chose by random ballot from among all of the candidates that have a majority beat path to the Range winner (with a final approval vote to ratify this choice)?
 
Forest
-------------- next part --------------
A non-text attachment was scrubbed...
Name: not available
Type: application/ms-tnef
Size: 3340 bytes
Desc: not available
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20061024/c4ee8ffb/attachment-0003.bin>