The Hardest Interview 2 [repack] May 2026

where (b', g') are updated after one more child, assuming (p_n) based on their estimate (\hatR).

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: the hardest interview 2

| (\lambda) | Final national (E[b/g]) | Avg. children per family | Avg. utility per family | |-------------|----------------------------|--------------------------|--------------------------| | 0.05 | 1.023 | 2.91 | 0.955 | | 0.10 | 1.007 | 2.68 | 0.891 | | 0.15 | 0.994 | 2.44 | 0.847 | 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. children per family | Avg

If (\Delta U < 0), they stop even if formal stopping rule not met (early stop). [ U_\texttotal = \sum_\textfamilies \left( \fracb_fg_f - \lambda \cdot t_f \right) ]

Set (\Delta U = 0) → threshold (p_\textthresh = 2\lambda).

[ R_n = \fracB_nG_n,\quad B_n = B_n-1 + X_n,\ G_n = G_n-1 + (1-X_n) ] where (X_n \sim \textBernoulli(p_n)).