[EM] Strong Favorite Betrayal

Stéphane Rouillon stephane.rouillon at sympatico.ca
Sun Aug 22 17:22:50 PDT 2010


I definitively like when physicists keep sticking to psephology...

Alex Small wrote:
> I have, at long last, finished a manuscript on FBC.
>
> https://sites.google.com/site/physicistatlarge/FBC09.pdf
>
> In brief, I prove that methods satisfying Strong FBC can be grouped 
> into 4 categories.  One encompasses point systems that give equal 
> points to first and second place.  Another is closely related, 
> involving point systems and thresholds of support.  Methods in the 
> third category are hard to construct, but if we relax my very strict 
> phrasing of SFBC to allow for cases where voters sometimes (but not 
> always) have incentives to rank 2 candidates in first place, you get 
> MDDA.  The 4th category is shown to be "uninteresting" because the 
> methods make mathematical sense (they divide the space of all possible 
> electorates into non-overlapping and symmetric regions without 
> violating FBC) but no practical sense (you can't really interpret 
> these methods in terms of any simple, meaningful criteria).
>
> In order to get feedback on this, I've started a blog where readers 
> can critique the manuscript in comment threads, and where I will also 
> be posting on other election-related matters as the mood strikes me.
>
> http://votingmath.blogspot.com/
>
> Anyway, I welcome comments.  If critiques show that the results and 
> methods are valid, I hope to submit to a peer-reviewed journal.
>
>
>
> Alex Small
>
>
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