Reweighted Range Voting with a Choice Constant

54 views
Skip to first unread message

Brian Langstraat

unread,
Mar 10, 2017, 11:35:13 AM3/10/17
to The Center for Election Science
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?
Message has been deleted

Brian Langstraat

unread,
Mar 10, 2017, 12:52:48 PM3/10/17
to The Center for Election Science
Correction:

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).

Should be:

As C decreases, the weight increases which tends to favor larger parties and partisan majorities.  When C is 0, RRV becomes Range Voting (RV) for PR with multiple non-transferable votes.  With highly strategic voters, RRV becomes Approval Voting (AV) for PR.
As C increases, the weight decreases which tends to favor smaller parties and independent candidates.  As C approaches infinity, RRV becomes RV for PR with only one vote.  With highly strategic voters, RRV becomes Single Non-Transferable Voting (SNTV) for PR.
Reply all
Reply to author
Forward
0 new messages