Discussion
What is a belief state?
Answer: C
A belief state assigns a probability to each state the agent might be in, and is updated by Bayes' rule as percepts arrive and by the transition model as actions are taken. In a logical setting the corresponding notion is a set of possible worlds. Nested beliefs about other agents and deterministic internal state are related but distinct. Carrying a distribution rather than a point estimate is what allows the agent to act sensibly when it is genuinely unsure.
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