Figure 5.

Exclusion. Causal graphs of different mechanisms constraining different purviews. The system S used in these examples is the same as in Figure 4a. Each line shows the mechanism M constraining different purviews Z. (a) The mechanism $M=\left\{A\right\}$ at state $m=\{\uparrow \}$. The bottom line shows the purview $Z\in S$ with maximum integrated effect information and the MIP is the complete partition. (b) The mechanism $M=\{A,B,C,D\}$ at state $m=\{\uparrow ,\uparrow ,\uparrow ,\downarrow \}$. The bottom line is the purview $Z\in S$ with maximum integrated effect information and the MIP is ${\psi }^{*}=\{(\{A,B,C\},\{A,B,C\}),(\left\{D\right\},\{\varnothing \})\}$.