[EM] Re: margins axiom

Chris Benham chrisbenham at bigpond.com
Sat Jun 19 06:16:16 PDT 2004


Steve,
You wrote (Fri.Jun.18):

"There is a possible compromise between margins and 
majorities (but I prefer straight majorities, not 
this compromise):  

   If the voter leaves two candidates unranked, 
   don't count that as a half vote for each, count it 
   as zero for each.  But if the voter explicitly ranks 
   two candidates as equal, count that as a half vote 
   for each.  

Thus, if more than half the voters rank x but not y, 
then y cannot have a count over any z that is as large as 
the majority for x over y.  This means it's straightforward 
to satisfy the minimal defense criterion; for instance, 
the corresponding variations of MAM and BeatpathWinner 
satisfy minimal defense.

Truncation resistance, as I've defined it in my webpages,
is also satisfied."

CB: In reference to the phrase "if the voter explicitly ranks two candidates equal", does that
include "equal last"?

Chris  Benham






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