---
title: "utility fusion"
type: concept
related: [Partially Observable Markov Decision Process]
source: https://www.jemoka.com/posts/kbhutility_fusion/
confidence: high
status: active
---

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) &hellip; U^{*}(b_{n}, a) \end{equation}
where \(f\) can be sum or min. The overall belief \(b\) is simply \(B_1 \times &hellip; \times B_{n}\), which combines all beliefs together.
