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Mathematical analysis of MN part 1
To put it numerically the minimum vote score allowable is 1 represented by
Φ
and the
maximum vote score is
π
.
the number of voters is N.
As N increases the total accumulated points of both candidates (N*
Φ
) increases and the
influence q voter can have is defined by ((
π
1)/N). As N increases the relative weight of
1 voter decreases. The problem with this is that in real elections you will not have to
contend with 1 extreme or insincere voter but many. And the greater the (
π

Φ
) the
greater weight a single insincere voter can have. The minimum points an candidate
approved of by (n/2)+1 or just over half the voters is (n* (
Φ
+1) we can call this point the
plurality point.
The number of extremist voters ( defined as voting
π
for their preferred
candidate and
Φ
for all other candidates)
needed to equal or exceed the plurality
point
is
((
Φ
*N)/(
π

Φ
)) rounding . in the case of question 1 case (1/(65) it takes 1 voter.
1 voter can attach a weight of 6 to his preferred candidate and 1 to his least preferred
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 Spring '11
 stevenjbrams

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