The one that seems to be working is to treat the system as two-round like the French presidential elections and do the work in the primaries. Worked for Mamdani.
I think there's risk in not doing it right the first time, if you were ever to get a chance to change it.
1. greater voter satisfaction, with virtually any ratio of strategic to honest voting. (i.e. "more resistant to strategy")
2. drastically simpler. (same ballot, precinct summable, lower kolmogorov complexity)
3. transparent: each result is a simple scalar sum of support, so third party and independent candidates don't have their support hidden from view.
https://web.archive.org/web/20190219005733/https://sites.goo...
https://clayshentrup.medium.com/the-only-voting-reform-worth...
approval voting has worked great in fargo and st louis. https://approval.vote/