[EM] Efforts to improve on CR's strategy

[Ken Johnson]

>
> Date: Sat, 22 May 2004 12:44:15 +0930
> From: Chris Benham <chrisbenham at bigpond.com>
>
> ...
> 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