[EM] Two Lotteries

Forest Simmons fsimmons at pcc.edu
Tue Feb 23 13:46:47 PST 2021


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 <fsimmons at pcc.edu> 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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