Difference between revisions of "Instant Runoff Normalized Ratings"

Added normalization formula
m
(Added normalization formula)
 
 
* One could more generally consider '''IRNR[p]''', based on the Lp norm, for any fixed real p with <math>1 \le p \le \infty</math>. (To avoid difficulties with dividing by 0, we agree to ignore votes that rank all candidates 0.)
 
Formula for '''IRNR[n]''' normalization:
<math>\begin{equation}
{C_{new}} =\frac{C_{old}}{\sqrt[n]{\sum \left(\bigl| C_{i}\bigr|^{n}\right)}}
\end{equation}</math>
<math>\begin{equation}{C_{old}}\end{equation}</math> = rating of candidate C in the vote, before the normalization.
<math>\begin{equation}{C_{new}}\end{equation}</math> = rating of C, after the normalization.
<math>\begin{equation}{C_{i}}\end{equation}</math> = ratings of each candidate in the vote, before the normalization.
 
Sum up the normalized ratings for each candidate. If there are two choices, the highest rated is the winner. If there are more than two choices, disqualify the lowest rated choice.
 
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