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.
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@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.
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