content_image/325699.jpg
## 2 Estimates Outcome and Propensity Score Model Parameters 

In this section, the distribution for the degree of all individuals in the Karnataka dataset is displayed. We also provide details on the outcome and propensity score models used in Section 3 of the main paper. 

## 2.1 Karnataka Degree Distribution 

Figure 3 shows the empirical log-log distribution of degree for the Karnataka dataset. 

## Karnataka Dataset Degree Distribution 

<img src='content_image/325699.jpg'>

## 2.2 Exposure 1: Fraction of Households Reported As Containing Leaders 

In this subsection, we report on the outcome models (OM) and propensity score (PS) models that were fit using a stepwise procedure for inclusion in the doubly-robust (DR) estimation procedure in Section 3 of the main paper. Tables 1, 2 and 3 provide the results of fitting these models; the exposure of interest was the fraction of households that include village leaders. 

