I'm reading Reinforcement Learning by Sutton & Barto, and in section 3.2 they state that the reward in a Markov decision process is always a scalar real number. At the same time, I've heard about the problem of assigning credit to an action for a reward. Wouldn't a vector reward make it easier for an agent to understand the effect of an action? Specifically, a vector in which different components represent different aspects of the reward. For example, an agent driving a car may have one reward component for driving smoothly and one for staying in the lane (and these are independent of each other).
Why is the reward in reinforcement learning always a scalar?
Sid Mani
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