[EM] Maximal Lotteries

Daniel Kirslis dankirslis at gmail.com
Mon Jun 23 15:14:36 PDT 2025


For those of you who believe in the Condorcet winner criterion, is there
anyone who doesn't agree that the maximal lotteries method is the
theoretically soundest Condorcet method?

Amongst the Condorcet methods, it seems to me that maximal lotteries is
clearly the best, at least in principle (that is to say, if we ignore more
practical concerns about ease of administration and popular understanding).
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?" I cannot imagine a more elegant and fair-minded way of doing so than
the maximal lotteries method.

Is there anyone out there who understands the maximal lotteries method but
still thinks that there exists another method that better satisfies the
Condorcet winner principle? If so, why?
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