A binary IV model for persuasion: profiling persuasion types among compliers
提出一种二元工具变量方法，在单调处理响应假设下识别依从者中说服类型的联合分布，从而刻画动员选民的比例和统计特征，并提供了识别假设的检验方法。
Summary In an empirical study of persuasion, researchers often use a binary instrument to encourage individuals to consume information and take some action. We show that, with a binary Imbens–Angrist instrumental variable model and the monotone treatment response assumption, it is possible to identify the joint distribution of potential outcomes among compliers. This is necessary to identify the percentage of mobilized voters and their statistical characteristic defined by the moments of the joint distribution of treatment and covariates. Specifically, we develop a method that enables researchers to identify the statistical characteristic of persuasion types: always-voters, never-voters, and mobilized voters among compliers. These findings extend Abadie’s kappa theorem. We also provide a sharp test for the two sets of identification assumptions. The test boils down to testing whether there exists a non-negative solution to a possibly underdetermined system of linear equations with known coefficients. We apply these results to a voter mobilization experiment.