[EM] P4 sketched: a constraining of powers of papers

[Bart Ingles]

> >Craig Carey wrote:
> :> Regarding "power", a person should be able to, as exactly as
> >>  possible, oppose the vote of a neighbour that lives over the
> >>  fence or any judge across the street.
> >
> >Can you show an example in approval voting where a single voter is
> >unable to cancel the vote of any other single voter?
> 
> The paragraph does no make the statement I intended. Something like
>  this could be ruled out:
>     If the prime minister across the road cast an Approval Vote using
>      a single sub-vote, then other voters should not be able to both
>      neutralise that and other votes at the with a single vote.

If you have candidates A, B, C, and D, and your minister casts a single
'sub-vote' for B (using your terminology), you might represent it as:
(0, 1, 0, 0).

Any other voter can neutralize it with the following single vote,
consisting of three sub-votes:
(1, 0, 1, 1)

Since only the exact complimentary vote can precisely cancel out the
minister's vote, the second voter has no leeway to try to cancel other
votes as well.


If this were FPP, it would take 3 other voters to cancel the minister's
vote (or conversely, the minister could cancel the votes of three other
voters):

(0, 1, 0, 0)
 -vs-
(1, 0, 0, 0) + (0, 0, 1, 0) + (0, 0, 0, 1)