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Reinforcement Learning An Introduction Chapter 7

Properties
authors Richard S. Sutton, Andrew G. Barton
year 2018

7.1 \(n\)-step TD prediction

One-step return:

\[ G_{t:t+1} \doteq R_{t+1} + \gamma V_t(S_{t+1}) \]

Equation 7.1: \(n\)-step return

\[ G_{t:t+n} \doteq R_{t+1} + \gamma R_{t+2} + \dots + \gamma^{n-1} R_{t+n} + \gamma^n V_{t + n - 1}(S_{t+n}) \tag{7.1} \]