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Technical discussion of election methods

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Is this method clone free?

FS
Forest Simmons
Tue, Mar 28, 2023 6:45 AM

Remember that candidate Y is an enemy of X iff Y beats X pairwise.

Elect the candidate X whose least favorable enemy on the agenda is more
favorable than any other candidate's least favorable enemy.

We could call this the MaxminFE method.

Here's my question: if C is the MaxminFE winner when applied to agenda
alpha ... and alpha' is created from alpha by intercalating a clone set K
in C's place ... will the new MaxminFE winner come from K?

In other words, does MmFE satisfy "clone winner"?

How about "clone loser?"

Thanks!

-Forest

Remember that candidate Y is an enemy of X iff Y beats X pairwise. Elect the candidate X whose least favorable enemy on the agenda is more favorable than any other candidate's least favorable enemy. We could call this the MaxminFE method. Here's my question: if C is the MaxminFE winner when applied to agenda alpha ... and alpha' is created from alpha by intercalating a clone set K in C's place ... will the new MaxminFE winner come from K? In other words, does MmFE satisfy "clone winner"? How about "clone loser?" Thanks! -Forest