Sensitivity of Policy‐Relevant Treatment Parameters to Violations of Monotonicity
提出一种在弱化单调性假设下对政策相关处理参数进行区间估计的方法，以同性别工具变量估计生育对劳动参与的影响为例，发现仅当单调性轻微违反时边界才有信息量。
ABSTRACT This paper proposes a method to bound policy‐relevant treatment parameters (PRTPs) when the monotonicity assumption that the IV affects individuals' treatment response in the same direction is weakened. The bounding framework uses the proportion of defiers relative to compliers as a sensitivity parameter and yields an identified set that is an interval. The method is illustrated in an empirical application where the same‐sex instrument was used to calculate the effect of having a third child on labor force participation. I find that bounds are informative only for small violations in monotonicity.