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Homerange voting

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# range voting

# Range voting

Warren D. Smith

*Range voting*
is a single-winner voting system in which each vote consists of one numerical score
from 0 to U awarded to each candidate,
where U is some positive number.
In *single-digit range voting* U is 9,
while *two-digit range voting* has U=99.
(One could also consider permitting the interval to be, e.g. $[-10,10]$.)
The candidate with the highest average score wins.
In a common variant, “X” scores also are permitted for candidates
(meaning:“I wish to express no opinion about this candidate”).
For example (46,0,32,99) could be one vote in a 4-candidate two-digit range voting
election; advise 99/0 for best/worst.

Approval voting [1] is the degenerate form of range voting in which there are only two allowed scores: 0 and 1.

# References

- 1 S.J. Brams & P. Fishburn: Approval voting, Birkhauser 1983.

Defines:

approval voting, single-digit range voting, two-digit range voting

Type of Math Object:

Topic

Major Section:

Reference

## Mathematics Subject Classification

91F10*no label found*

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## Comments

## remove last three paragraphs

Speculations about "societal improvement" and endorsements of a nonprofit center have no place in the main body of a mathematics article. It would be appropriate remove most of this, possibly leaving a footnote giving a link to the Center for Range Voting for applied information, for those who are interested.

Also, you should really put up entries for alternative systems, so at least readers can understand them as well as the one you are advocating.

apk

## Re: remove last three paragraphs

I've modified the RV article now.

It was not a "speculation" it was a "theorem" basically.

(A lot of people have trouble with the idea this can be a theorem.

They cannot believe it. But that is not my problem, it is their's.)

I changed some stuff to footnotesize but did not

make footnotes since they don't seem to work for online viewing.

I can't write Bourbaki so I don't think I'm going

to do other voting systems for PM, but conceivably I will.

wds