X and Y values for simulations

DEMOREP1 at aol.com DEMOREP1 at aol.com
Thu Nov 28 19:16:51 PST 1996


A thought to get more "realistic" Condorcet simulations---
3 Candidates, A, B and C
The A to B ratio of the first choice votes is X.
The B to C ratio of the first choice votes is Y.
Total votes is 100 (or some other number).
or
A= B x X (X>1)
B= C x Y (Y>1)
combining
A= C x X x Y
A + B + C= 100 votes
or 
(C x X x Y) + (C x Y) + C = 100
or
C (X x Y + Y +1) = 100
C = 100/(X x Y + Y +1)
Example
X= 1.2, Y= 1.5
C= 100/(1.9 + 1.5 +1) or 100/4.4 or 22.7, rounded to 23
B= C x 1.5 = 34.05, rounded to 34
A= 100- 23- 34 =43
Check A/B= 43/34 = 1.26 (versus X =1.2)
B/C = 34/23 = 1.47 (versus Y= 1.5)

The next question is whether or not X is greater than Y in real elections
with 3 candidates.  
The ratios idea can be expanded to elections with 4 or more candidates.

Anybody have vote-for-1 primary election results when there is no incumbent
running (especially in nonpartisan elections) ?




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