Optimal Dynamic Treatment Regimes and Partial Welfare Ordering

Figures & data

Table 1 Dynamic regimes $\mathit{\delta }(·)$ when T = 2 and ${\delta }_1(x)={\delta }_1$.

Regime #	δ1	${\delta }_2(1,{\delta }_1)$	${\delta }_2(0,{\delta }_1)$
1	0	0	0
2	1	0	0
3	0	1	0
4	1	1	0
5	0	0	1
6	1	0	1
7	0	1	1
8	1	1	1

Fig. 1 Partially ordered sets of welfares.

Fig. 2 Estimated DAG of $W_{\mathit{\delta }}=E[Y_2(\mathit{\delta }(·))]$ and estimated set for ${\mathit{\delta }}^{*}$ (red and starred).

Fig. 3 Estimated DAG of $W_{\mathit{\delta }}=E[Y_1({\delta }_1)]+E[Y_2(\mathit{\delta }(·))]$ and Estimated Set for ${\mathit{\delta }}^{*}$ (red and starred).