Multi-Armed Bandit Problem
Multi-Armed Bandit Problem #
The Multi-Armed Bandit (MAB) problem is the simplest setting for studying decision-making under uncertainty.
An agent repeatedly chooses one of \( k \) actions. Each action produces a numerical reward drawn from an unknown distribution. The objective is to maximise the expected total reward over time.
The central challenge is deciding when to exploit current knowledge and when to explore uncertain alternatives.The k-Armed Bandit Problem ☆ #
At every time step: