Recently I've been considering what a Condorcet version of PR would look like. I thought up of a system and I wonder if it would allow for enough diversity in opinion or if every winner would be pretty moderate. This is how it would work:
1) Start off with all votes equaling a weight of 1.
2) Tabulate rankings and get the Condorcet win (doesn't matter which method).
3) Reweigh the value of each persons vote for the next seat. This would involve multiplying the current weight of each voter's vote by a scale. The value of this scale would be determined by what position they ranked the winner of the last seat.
4) Repeat to step two if there are more seats to fill.
To calculate the scale:
1) Find the average scale. This would be (number of seats-1)/(number of seats)
2) calculate the average ranking value of the last winning candidate( can be a decimal)
3) calculate constant C = (1- Average Scale )/ (number of candidates - average ranking of winner)
4) set the function of each voter scale where R = individuals ranking of winning candidate. f(R)= 1 - (Number of candidates-R)*C
What difference do you think this would make if Australia replaced the STV with this method? Do you think this might accidentally elect candidates? A party list or a voter might disingenuously rank a candidate higher than he would believing that candidate to not be electable. He may do this to minimize devaluing the weight of his vote for each iteration. If everyone were to vote honestly though, do you think this would be a better or worse version of PR than STV?
Also, considering all versions of PR, which version do you like the best?
1) Start off with all votes equaling a weight of 1.
2) Tabulate rankings and get the Condorcet win (doesn't matter which method).
3) Reweigh the value of each persons vote for the next seat. This would involve multiplying the current weight of each voter's vote by a scale. The value of this scale would be determined by what position they ranked the winner of the last seat.
4) Repeat to step two if there are more seats to fill.
To calculate the scale:
1) Find the average scale. This would be (number of seats-1)/(number of seats)
2) calculate the average ranking value of the last winning candidate( can be a decimal)
3) calculate constant C = (1- Average Scale )/ (number of candidates - average ranking of winner)
4) set the function of each voter scale where R = individuals ranking of winning candidate. f(R)= 1 - (Number of candidates-R)*C
What difference do you think this would make if Australia replaced the STV with this method? Do you think this might accidentally elect candidates? A party list or a voter might disingenuously rank a candidate higher than he would believing that candidate to not be electable. He may do this to minimize devaluing the weight of his vote for each iteration. If everyone were to vote honestly though, do you think this would be a better or worse version of PR than STV?
Also, considering all versions of PR, which version do you like the best?
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