| (\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 |
[ U = \frac\text# boys\text# girls - \lambda \cdot \text(total births) ] the hardest interview 2
They compute expected marginal utility of an additional child: | (\lambda) | Final national (E[b/g]) | Avg
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: and vice versa. At each step
[ \hatR = R_n-2 + \epsilon,\quad \epsilon \sim \mathcalN(0, \sigma^2),\ \sigma=0.03 ]
[ p_n = \frac11 + e^-k \cdot (R_n-1 - 1) ]