Date: Sat, 22 May 2004 12:44:15 +0930 From: Chris Benham <[EMAIL PROTECTED]>
...
In this scenario, if the "Candidate Positions" are evenly spaced, the sincere CR winner would be the LEAST liberal
candidate. ...
Chris,
Here's a more explicit illustration of the scenario. There are 10 candidates A ... J with the following CP's:
A: +0.9, B: +0.7, C: +0.5, ... J: -0.9
(<-- liberal ... conservative -->)
There are 100 voters with the following sincere CR profiles:
51 voters (liberal): A(+0.9), B(+0.7), C(+0.5) ... J(-0.9) (rank: A > B > ... > J)
49 voters (conservative): A(-0.9), B(-0.7), C(-0.5), ... J(+0.9) (rank: J > I > ... > A)
avg CR: A(+0.018), B(+0.014), C(+0.010), ... J(-0.018) (A wins CR)
Approval: A(51), B(51), ... E(51), F(49), ... J(49) (A...E tie Approval)
Plurality: A(51), B(0), C(0), ... I(0), J(49) (A wins Plurality)
Ken Johnson
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