[EM] Two Lotteries

classic Classic list List threaded Threaded
3 messages Options
Reply | Threaded
Open this post in threaded view
|

[EM] Two Lotteries

Forest Simmons
The first lottery is a proportional lottery:

From a randomly drawn ballot elect the lowest (worst) ranked alternative that pairwise beats every alternative ranked ahead of it.

To trade in proportionalty for the Condorcet Criterion, complete the drawn ballot with the help of additional randomly drawn ballots before finding the alternative closest to the bottom that beats all of those closer to the top.

----
Election-Methods mailing list - see https://electorama.com/em for list info
Reply | Threaded
Open this post in threaded view
|

Re: [EM] Two Lotteries

Forest Simmons
Also the random solid coalition lottery ... draw ballots sequentially to narrow down solid coalitions until only one candidate remains.

A solid coaliition is a subset of a ballot that is either the entire ballot or what is left after truncating all of the candidates ranked below some level.

On Tuesday, February 23, 2021, Forest Simmons <[hidden email]> wrote:
The first lottery is a proportional lottery:

From a randomly drawn ballot elect the lowest (worst) ranked alternative that pairwise beats every alternative ranked ahead of it.

To trade in proportionalty for the Condorcet Criterion, complete the drawn ballot with the help of additional randomly drawn ballots before finding the alternative closest to the bottom that beats all of those closer to the top.

----
Election-Methods mailing list - see https://electorama.com/em for list info
Reply | Threaded
Open this post in threaded view
|

Re: [EM] Two Lotteries

Kristofer Munsterhjelm-3
In reply to this post by Forest Simmons
On 23/02/2021 22.34, Forest Simmons wrote:
> The first lottery is a proportional lottery:
>
> From a randomly drawn ballot elect the lowest (worst) ranked alternative
> that pairwise beats every alternative ranked ahead of it.
>
> To trade in proportionalty for the Condorcet Criterion, complete the
> drawn ballot with the help of additional randomly drawn ballots before
> finding the alternative closest to the bottom that beats all of those
> closer to the top.

How's proportionality defined in this context - of the method being a
proportional lottery?

-km
----
Election-Methods mailing list - see https://electorama.com/em for list info