[EM] Maximal Lotteries

Closed Limelike Curves closed.limelike.curves at gmail.com
Wed Jun 25 09:56:31 PDT 2025


Markus—different generalizations/definitions of no-show (equivalent in the
deterministic case) yield different results in when you allow lotteries.
I'd have to double-check which is satisfied for Maximal Lotteries, but the
most common are either:
1. Turning out to vote will always yield a better lottery than not turning
out, or
2. Turning out to vote will probably improve the outcome for you, i.e. if
you do a random draw from the winning lottery if you do vs. don't turn out
to vote, you will prefer the random draw from the one where you turn out
more often than vice-versa.

On Tue, Jun 24, 2025 at 5:27 AM Markus Schulze via Election-Methods <
election-methods at lists.electorama.com> wrote:

> Hallo,
>
> it has been proven by Moulin that the Condorcet
> criterion and the participation criterion are
> incompatible:
>
>     Herve Moulin, "Condorcet's principle implies
>     the no show paradox", Journal of Economic Theory,
>     volume 45, number 1, pages 53-64, 1988,
>     DOI: 10.1016/0022-0531(88)90253-0
>
> Here is a short version of Moulin's proof:
>
>
> http://lists.electorama.com/pipermail/election-methods-electorama.com/2003-October/011042.html
>
> Markus Schulze
>
> ----
> Election-Methods mailing list - see https://electorama.com/em for list
> info
>
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