Take the utility function from a bunch of POMDPs and combine them together using a fusion function.

\begin{equation} U^{*}(b,a) = f(U^{*}(b_1, a) … U^{*}(b_{n}, a) \end{equation}

where f can be sum or min. The overall belief b is simply B_1 \times … \times B_{n}, which combines all beliefs together.

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