User:RobLa/runoff
MAF and MATT
A couple of new voting systems I worked on in late 2018 as possible alternatives to California's jungle primary:
Genuine Instant Runoff
This is a proposal that User:RobLa devised in 2018:
- Create a playoff bracket with room for all candidates
- 1a..... using rules similar to the ones the NCAA uses for March Madness:
- 1b. ....or maybe on the ones Wimbledon uses:
- 1c. In short, use a single-elimination tournament:
- Seed the candidates in the tournament such that all members of the Smith set are guaranteed to advance to the final rounds. I'm guessing that the Copeland score could be used:
- Calculate the winner of each contest using the standard ways of inferring pairwise matchup results based on ranked/rated ballots
These steps may seem like a lot of theatrical extras (especially in contests where there is a single Condorcet winner) but I think this framework could provide a useful mental model for people whose eyes glaze over when try to describe some of the mathematical vulnerabilities of systems like Instant Runoff.
Changelog
2021
2021-02-03
- I didn't make the proposal to the EM-list. Oh well. Many other things came up in my life. -- RobLa (talk) 22:32, 3 February 2021 (UTC)
2018
2018-12-02
Comment from 04:46, 2 December 2018 :
[Below] is a working version of a proposal I'm about to make on the election-methods mailing list.
1. Create a playoff bracket with room for all candidates, using rules similar to the ones the NCAA uses for March Madness:
<https://en.wikipedia.org/wiki/March_Madness>
....or maybe on the ones Wimbledon uses:
<https://en.wikipedia.org/wiki/Wimbledon_championship>
In short, use a single-elimination tournament:
<https://en.wikipedia.org/wiki/Single-elimination_tournament>
2. Seed the candidates in the tournament such that all members of the Smith set are guaranteed to advance to the final rounds. I'm guessing that the Copeland score could be used:
<https://en.wikipedia.org/wiki/Copeland_method>
3. Calculate the winner of each contest using the standard ways of inferring pairwise matchup results based on ranked/rated ballots
These steps may seem like a lot of theatrical extras (especially in contests where there is a single Condorcet winner) but I think this framework could provide a useful mental model for people whose eyes glaze over when try to describe some of the mathematical vulnerabilities of systems like Instant Runoff.