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Mathematical analysis MD PART 1

# Mathematical analysis MD PART 1 - Mathematical analysis MD...

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Mathematical analysis MD PART 1 Let us say there are N+1 voters with X possible rankings. Let us say you arrange all the voters in the positions XA – (i) where XA – 0 is the lowest number value assigned to candidate A and XA – 4 is the greatest. The median voter for candidate A will be XA-(i) where (i) = (N/2) we will call the median vote value Φ (Nota bene if the number of voters is even there are when proceeds in the same fashion except one take the average between XA-(i) where (i) = (N/2)and XA-(i) where (i) = ((N/2) +1) i.e. for 6 voters with positions btw 0-5 one averages 2 and 3 If there are several votes of the same value simply proceed normally and give each an independent position.) I MD Mathematical part 2 = NFLUENCING There are N/2 voters who vote below Φ and N/2 candidate who vote above Φ . If I am an individual voter I can influence the election one of three ways 1) he is the median voter he is between then any number he select \$ will be the median so long as XA-((N/2)-1) < = \$ <= XA-((N/2)-1) he whatever he changes his vote to will be the median. 2) SHe votes for a number \$ that is < XA-((N/2)-1) then XA-((N/2)-1) becomes the new median which is by definition <= the previous median. 3) SHe votes for a number \$ that is > XA-((N/2)+1) then XA-((N/2)+1) becomes the new median which is by definition >= the previous median.

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Mathematical analysis MD PART 1 - Mathematical analysis MD...

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