Before revision:  In fact given a set of individuals that play independently and repeatedly a game where they can gain by a factor a>1 with probability p or loose by a factor b<1 with probability q=1-p, one can show that for a^p b^q < 1 < pa +q b the cooperation makes the difference between extinction and (thriving) survival. We study quantitatively the various implications of this observation and its applications in various contexts.
After revision:  We study the various implications of this observation and its applications in various contexts.