[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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