Unstable diffusion in social networks

How and to what extent will new activities spread through social ties? Here, we develop a more sophisticated framework than the standard mean-field approach describe diffusion dynamics of multiple on complex networks. We show that follows saddle path can be highly unstable. In particular, when two are sufficiently substitutable, either them would dominate other by chance even if they equally attractive ex ante. When such symmetry-breaking occurs, any average-based cannot correctly calculate Nash equilibrium - steady state an actual process.