Hallo,
All deterministic Condorcet methods fail
the participation criterion. Therefore, a
non-deterministic method is the way to go,
and the question becomes: "How shall we
assign probabilities amongst the Smith set?"
The Condorcet criterion and the participation
criterion are incompatible. This has nothing
to do with whether the used election method
is deterministic or non-deterministic.
Markus Schulze
Hi Markus,
It is my understanding that non-deterministic Condorcet methods can pass
the participation criterion, and maximal lotteries is one method which
does: https://en.wikipedia.org/wiki/Maximal_lotteries
On Tue, Jun 24, 2025 at 1:06 AM Markus Schulze via Election-Methods <
election-methods@lists.electorama.com> wrote:
Hallo,
All deterministic Condorcet methods fail
the participation criterion. Therefore, a
non-deterministic method is the way to go,
and the question becomes: "How shall we
assign probabilities amongst the Smith set?"
The Condorcet criterion and the participation
criterion are incompatible. This has nothing
to do with whether the used election method
is deterministic or non-deterministic.
Markus Schulze
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