[EM] Maximal Lotteries

[Daniel Kirslis]

Hi Markus,

Thank you for sharing this. I believed the Wikipedia article that Maximal
Lotteries did not violate the participation criterion, but this simple
proof does demonstrate that all Condorcet methods, even non-deterministic
ones, will violate the participation criterion.

That is good to know. Thanks again for sharing your knowledge.

-Dan

On Tue, Jun 24, 2025, 8:27 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
>
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> Election-Methods mailing list - see https://electorama.com/em for list
> info
>
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