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We will say that one theory of rationality $R_1: (B_1 \times D_1 \times \Phi_1 \times S) \to (2^{B_1} \times 2^{D_1} \times 2^A)$ is \emph{subsumed} by another $R_2: (B_2 \times D_2 \times \Phi_2 \times S) \to (2^{B_2} \times 2^{D_2} \times 2^A)$ if and only if $R_2$ can compute $R_1$ under a transformation of individual variables, and we write this $R_1 \preceq R_2$:  \[ R_1 \preceq R_2 \textrm{ iff } \\  \exists f_B: B_1 \to B_2, \ f_D: D_1 \to D_2, \ f_\Phi: \Phi_1 \to \Phi_2 . \\  \forall b \in B_1, \ d \in D_1, \ \phi \in \Phi_2, \ s \in S : R_1(b, d, \phi, s) = R_2\left(f_B(b), R_2\bigg(f_B(b),  f_D(d), f_\phi(\phi), s\right) s\bigg)  \]     
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