Baldwin's method: Difference between revisions

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A [[Cardinal Voting]] variant of this system can be made by simply taking the scores initially rather than taking ranks and converting them with [[Borda count]]. In this context the motivation for the normalization at each round is derived by considering an affine transformation. When the lowest scored candidate is removed such a rescaling would then rescale so that each voter has some candidate at the MAX and some at the MIN score. This will always maximize effective vote power which is the issue attempted to be equalized by this method.
 
More explicitly. Let MAX and MIN be the extreme available grades. Let <math>u_c</math> be a voters score for candidate c, let u_min<math>u_{min}</math> and u_max<math>u_{max}</math> be their score for her worst and best candidates in the considered election round. The rescaled utility is:
 
<math>\begin{equation}
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