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.
There is already a post related to this meetup but it concerns a discussion which took place after I had left so I will write about the games of Werewolf. Please post your thoughts too and correct any inaccuracies.
Thoughts:
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Games:
1 GM: {Douglas}, Villagers: {Ramana, Jon, Jonathan, Alexey, Ai}, Werewolf: {Thomas}
Jon mauled. No-one lynched. Jonathan mauled. Thomas lynched. Villagers win.
2 (Seer added) GM: {Douglas}, Villagers: {James, Jonathan, Alexey}, Werewolves: {Thomas, Ai}, Seer {Ramana}
Ramana mauled. Jonathan made Sheriff. No-one lynched. Alexey mauled. Ai lynched. Jonathan mauled. James lynched. Werewolves win.
3 (Sheriff's deputy and wills added) GM: {Douglas}, Villagers: {James, Jonathan, Ai}, Werewolves: {Ramana, Alexey}, Seer: {Thomas}
Jonathan mauled. James made Sheriff. Ramana lynched. Thomas mauled. Alexey lynched. Villagers win.
4 GM: {Thomas}, Villagers: {Douglas, Jonathan, Alexey}, Werewolves {James, Ai}; Seer {Ramana}.
Ramana mauled. Alexey made Sheriff. Douglas lynched. Alexey mauled. Sheriff passed to Ai. Jonathan lynched. Werewolves win.
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This post was partly motivated by this comment in the google group: