MN MATHEMATICAL ANALYSIS PART 2

MN MATHEMATICAL ANALYSIS PART 2 - Mathematical analysis of...

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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/(6-5) 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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