[Election-Methods] [EM] Is "sincere" voting in Range suboptimal?

[Chris Benham]

Abd ul-Rahman Lomax wrote:

> At 01:12 AM 7/24/2007, Chris Benham wrote:
>
>> No, you just assumed "because of the symmetry of the scenario" that 
>> the 2 possible approval votes (220 and 200) must give the same 
>> "expected satisfaction"
>> and therefore you would only bother comparing 220 with 210  (and 
>> ignore 200).
>
>
> I had been told, explicitly, that there was no strategic difference 
> between the vote of 210 and 200, that Candidate B, was at the 
> "approval cutoff," exactly. 


Also you were told that there it made no difference  to our voter's 
average expectation what rating s/he gives B. That was based on the 
assumption that the
best Range strategy is "mean-based thresholding", which it is in the 
3-candidate scenario with 10 or more voters (according to Warren's 
Venzke-inspired table
http://rangevoting.org/RVstrat3.html ).

Here is my analysis again of  Abd's suggested 0-info 2-voter 3-candidate 
election, where our voter's sincere ratings ("utilities") are A2, B1, CO :



> There are, in the two-voter case, 27 possible ballots, being all the 
> base-3 numbers from 000 to 222. All are considered equally likely, 
> which simplifies the calculations by assigning the same probability to 
> each. In the many-voter, ballot-could-shift-result election,  the 
> virtual ballots of 000 and 222 are, in fact and in real elections 
> equally probable with the others.


I find that statement ridiculous, but of course including such 
essentially blank ballots can't change the ranking of  the our three 
considered votes.

Chris Benham



-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20070725/b904706a/attachment-0002.htm>
-------------- next part --------------
A non-text attachment was scrubbed...
Name: moz-screenshot-44.jpg
Type: image/jpeg
Size: 67204 bytes
Desc: not available
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20070725/b904706a/attachment-0002.jpg>