[EM] DMC, Ties & Eppley's RVH
eric at ericgorr.net
Fri Sep 2 13:29:15 PDT 2005
Dave Ketchum wrote:
> On Fri, 02 Sep 2005 14:44:40 -0400 Eric Gorr wrote:
>> Eric Gorr wrote:
>>> The primary reason why the RVH is better then simply selecting a tied
>>> candidate at random is because it provides a statistical edge to
>>> those candidates who are preferred by a majority of voters.
>> For a concrete example, let's say that you have a genuine three way
>> tie, with 100 voters total:
>> 50 voters prefer a>c
>> 50 voters prefer a>b
>> 50 voters prefer c>b
>> 50 voters prefer c>a
>> 50 voters prefer b>c
>> 50 voters prefer b>a
>> Now, simply selecting one of these candidates at random, provides 'c'
>> with a ~33% to win the election. Does this make sense? Not
>> really...after all, 'c' was not the first place choice of _any_ voter.
>> The RVH recognizes this and would provide 'c' with absolutely no
>> opportunity to win. It provides 'a' and 'b' a 50% chance to win.
> Not at all clear that that is proper resolution:
> Looking at A/B, A/C, and B/C, each pair has ties.
> Looking closer, no one hates C - perhaps reason enough to elect C,
> since A and B each inspire dislike/hate.
> Not ready for such detailed analysis, I like the 33% odds, and do not
> need RVH to implement them.
What if the party representating A or B decided to run candidate C?
Suddenly that party would have a 66% chance to win the election in this
example. Not a good thing.
== Eric Gorr =============================== http://www.ericgorr.net ===
"Government is not reason, it is not eloquence, it is force; like fire,
a troublesome servant and a fearful master." - George Washington
== Insults, like violence, are the last refuge of the incompetent... ===
More information about the Election-Methods