... Come On People! Really? You are going to use 'equilibrium' and 'optimization' analysis on the behavioral/cultural act of cutting someone genitals off? Welcome to the absurdity of which many (not all) in mainstream economics peddle. Start off with 20 different assumptions about rationality, equilibriums, stable preferences, etc., and this is the kind of quackery the 'science' gives you.
Let me tell you, only an economist so brainwashed in the mathematics of 'rational' economics can say something like:
In this paper, we model FGC [female genital cutting] as a pre-marital investment. We show how the rat-race nature of the marriage market may result in inefficiently high equilibrium levels of FGC [female genital cutting].