I did some calculations to see if we can kill the mafia just by sweeping through as many possibilities as possible:
Firstly, if there are two mafia there are 136 different possible combinations of players who could be mafia. If there are 3 there are 680 and if there are 4 there are 2380.
Assuming the worst possible circumstances following my plan (only tie-voting 2 people each day, excluding today where we seem to be ready to tie-vote 5), we will have all the possible combinations of players available to us by day 6 (assuming two mafia), if we tie-vote 3 people each day (assuming 5 today), we will have all the possible combinations of 2 mafia by day 4 (except 1, which is too small a chance to be of concern), all the possible combinations of 3 mafia by day 6 and all the possible combinations of 4 by day 7. This all assumes 1 night kill for the entire mafia (in which case we will survive to day 7), and that no paradoxes occur (and I believe one is likely to at some point). This also assumes no other power roles.
These numbers are all overestimates however, because the nature of this game means that the combinations of live/dead players will be closely related to individual player action and not pure chance. Thus we will have to both scum hunt and gain near tie-votes every round.
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