where (b', g') are updated after one more child, assuming (p_n) based on their estimate (\hatR).
Set (\Delta U = 0) → threshold (p_\textthresh = 2\lambda). the hardest interview 2
[ \hatR = R_n-2 + \epsilon,\quad \epsilon \sim \mathcalN(0, \sigma^2),\ \sigma=0.03 ] where (b', g') are updated after one more
where (\lambda) is unknown to the families but fixed. Families stop early if they a negative marginal utility from another child, but they have only noisy public information about the global ratio. \quad \epsilon \sim \mathcalN(0
This creates negative feedback: If boys exceed girls nationally, (p_n < 0.5), and vice versa. At each step, before having another child, the family estimates current national ratio (\hatR) using:
[ R_n \approx R_n-1 \cdot \frac1 + \fracp_nR_n-1 \cdot (1-p_n) \cdot G_n-1/B_n-11 + \frac1-p_nG_n-1 ]