Has any mathematical analysis of The Resistance been done?
Here's a mathematical analysis of a potential winning strategy for the Resistance side: http://amininima.wordpress.com/2013/05/18/the-resistance/

And there's a thread on Boardgamegeek where they're trying to determine a formula for "spy-ness": http://boardgamegeek.com/thread/759016/using-excel-to-find-spies

Hope this answers your question!