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Re:Ask HN: Writing my first multi-armed bandit solution..? by svedlin on Saturday August 13, 2011 @05:11PM (#2882016)
Here is one good overview:

http://www.cs.nyu.edu/~mohri/pub/bandit.pdf

"[...] ε-greedy is probably the simplest and the most widely used strategy to solve the bandit problem and was first described by Watkins [24]. The ε-greedy strategy consists of choosing a random lever with ε-frequency, and otherwise choosing the lever with the highest estimated mean, the estimation being based on the rewards observed thus far. ε must be in the open interval (0, 1) and its choice is left to the user. Methods that imply a binary distinction between exploitation (the greedy choice) and exploration (uniform probability over a set of levers) are known as semi-uniform methods."

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