FAIR-V: Difference between revisions

Content added Content deleted
(Simplified section on strategies)
(Procedure simplified)
Line 1: Line 1:
[[File:FAIR-V Procedure.svg|500px|thumb|right|FAIR-V Procedure]]
First-Approval Instant-Runoff Voting (FAIR-V) is a [[Single Member system|Single-Winner]] [[Cardinal voting systems]] developed by [[User:Aldo Tragni|Aldo Tragni]].
First-Approval Instant-Runoff Voting (FAIR-V) is a [[Single Member system|Single-Winner]] [[Cardinal voting systems]] proposed by [[User:Aldo Tragni|Aldo Tragni]].


The objectives of this voting system is the balance between simplicity, resistance to strategies, and elect the utilitarian winner.
The objectives of this voting system is the balance between simplicity, resistance to strategies, and elect the utilitarian winner.
Line 5: Line 6:
==Procedure==
==Procedure==


Ballot use range [0,3].
Voter score candidates with ratings in [0,3]. Set -1 points to the lowest ratings in each vote (0 to all others).


Eliminate the candidate considered worst by the most voters.
# The candidate with the lowest sum of points is eliminated (if in a single vote all candidates with -1 are eliminated, then the remaining candidates with the lowest rating will be set to -1).


Procedures 1 is repeated, until only one candidate remains, who is the winner.
The above elimination is repeated until only one candidate is left, who is the winner.

''Note: worst candidates for a voter are those (among the remaining) with the lowest rating in his ballot.''


===Normalization===
===Normalization===


Bullet Min Norm: set -1 the minimum value of the ballot to normalize, and the others all to 0.
Bullet Min Norm (B-Min Norm): set -1 the minimum value of the ballot to normalize, and the others all to 0.

The actual FAIR-V algorithm uses the B-Min Norm and eliminate the candidate with the lowest point sum.


Using this norm, it's possible to apply the FAIR-V procedure also to ranges with more than 4 ratings.
B-Min Norm, and also FAIR-V, is applicable also to ranges with more than 4 ratings.


===Name derivation===
===Name derivation===
Line 67: Line 72:
A big difference between the 2 types of counting is that in FAIR-V the failure of monotonicity is practically absent, while [[IRV]] is one of the systems in which it's most present.
A big difference between the 2 types of counting is that in FAIR-V the failure of monotonicity is practically absent, while [[IRV]] is one of the systems in which it's most present.


===[[PRO-V]]===
===[[Coombs]]===


Use ranked votes instead of range [0,3] and win the candidate with the absolute majority, if there is after an elimination.
FAIR-V is more resistant to strategies, but has a more complex procedure than [[PRO-V]].


==References==
==References==