[Election-Methods] Representative Range Voting with Compensation - a new attempt
fsimmons at pcc.edu
fsimmons at pcc.edu
Fri Jul 25 13:07:22 PDT 2008
Jobst,
> ... If voter i is honest and puts R(X,i)=U(X,i) ...
It worries me that U(X,i) may be much larger than C(i) most of the time, i.e. that the virtual money may be infinitesimal in value compared with typical
utilities. And if I understand the method, it is doesn't work to normalize the utilities.
...
> The constant term E/S makes the whole thing sum up to zero so
> that no
> voting money is produced or destroyed, only redistributed. Q.E.D.
>
> The thing most astonishing to me is that although the actual
> value of
> deltaC(i) is independent of i's ratings (as long as the winner
> is not
> changed), the expected value of this adjustment does more or
> less
> depend *only* on these ratings.
>
This is indeed astonishing from a slightly different point of view: if I rate the winner well below the benchmark lottery, my action tends to cause other voters'
accounts to lower, but does not cause mine to increase, yet the total is constant. Magic!
Forest
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