[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.

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[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.

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[Kristofer Munsterhjelm-3]

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
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