Reweighted Range Voting (RRV) is a Proportional Representation (PR) voting method that feels like range voting described at http://www.rangevoting.org/RRV.html
The example reweighting equation is [weight = 1/(1+SUM/MAX)] where SUM is the sum of the scores that ballot gives to the winners-so-far, while MAX is the maximum allowed score.
The noted general equation is [weight = K / (K + SUM/MAX)] where K is any positive constant.
An equivalent general equation is [weight = 1/(1+(1/K)*SUM/MAX)] or [weight = 1/(1+C*SUM/MAX)] where C is any positive constant equal to 1/K.
As C decreases, the weight increases which tends to favor larger parties. When C is 0, RRV becomes Approval Voting (AV).
As C increases, the weight decreases which tends to favor smaller parties and independent candidates. As C approaches infinity, RRV becomes Single Non-Transferable Voting (SNTV).
Lets call C the Choice Constant.
In a PR vote with multiple winners, voters could select a numerical score from a range (e.g. 0 to 4) for each candidate. Additionally, they could select a numerical score from a range (e.g. 0 to 4) for the Choice Constant. The average of every voter score for Choice Constant would be used for reweighing all of their range votes.
Reweighted Range Voting with a Choice Constant would allow voters to have more control of the reweighing process.
Are there any improvements (or flaws) to this voting method?