Optimal IV

ADMG

This ruletable lies at the core of algorithms deciding the optimal IV criterion given by Henckel et al. (2024a). It can be used for finding the set $Z_{\text{opt}}$ as well as the set $W_{\text{opt}}$ .

EDGES  --> <--, <->
SETS   S, D, F
COLORS pass, yield
START  <-- [pass] AT S
OUTPUT ... [yield]

...         | -->              | false
<-- [pass]  | <--      [pass]  | next in D     and next not in F
<-- [pass]  | <--, <-> [yield] | next not in D and next not in F
<-> [yield] | <--, <-> [yield] | next not in D and next not in F

Graph type:

ADMG

Applications:

Optimal conditional instruments

References:

Henckel et al. (2024a)