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shokwave comments on Werewolf, Cambridge UK Less Wrong Meetup April 1st 2012 - Less Wrong
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If the wolf or wolves can form a nucleus for that something and there are no other credible options, inactivity is better. The wolves also vote as a secret bloc - if they're good, they can determine the outcome of a "do something" vote (although if they're not as good as the village, this reveals them pretty severely).
(This is my experience with the game, not a worked solution or anything.)
If a majority of players agree that a random player needs to be lynched, this is possible. Everyone picks a number from 1 to N, where N is the number of living players, and you add the numbers mod N and then lynch the corresponding player. This is robust against colluding wolves: even if exactly one person picks a random number, the sum will be random.
Of course, I don't see this strategy being adopted, because it arguably takes the fun out of playing.
I explicitly prevent my players from introducing 'true' sources of randomness like coin flips ('true randomness' in that all parties can see and agree it was random), or from recording information with pen and paper. The key to challenging and enjoyable mafia is embracing the 'social reality' concept: no fact or claim can be free from ulterior motives, no truth can be clearly untwisted.
I guess then the challenge of randomization is whether players can do modular arithmetic with large primes in their head.