Externalities Aggregation in Network Games

We generalize the results on the monotonicity of equilibria for network games with incomplete information. We show that not only the distinction between strategic complements and strategic substitutes is important in determining the nature of the Bayesian Nash equilibria, but the nature of the statistic itself is also determinant. We show that understanding the underlying forces behind people's choices may be of fundamental importance for a policymaker that wants to incentivize efficient behavior.