Understanding the stochastic dynamics of sequential decision-making processes: A path-integral analysis of Multi-armed Bandits. (arXiv:2208.06245v1 [cs.LG])

The multi-armed bandit (MAB) model is one of the most classical models to
study decision-making in an uncertain environment. In this model, a player
needs to choose one of K possible arms of a bandit machine to play at each time
step, where the corresponding arm returns a random reward to the player,
potentially from a specific unknown distribution. The target of the player is
to collect as much rewards as possible during the process. Despite its
simplicity, the MAB …

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