Titlebook: Bandit problems; Sequential Allocatio Donald A. Berry,Bert Fristedt Book 1985 D. A. Berry and B. Fristedt 1985 Calculation.Counting.Mathema

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The discount sequence,The particular discount sequence plays a critical role in any bandit or other decision problem. Various interpretations of discount sequences are discussed in this chapter. One purpose of the discussion is to aid a user in choosing an appropriate sequence; another is to motivate interest in the generality of discounting allowed in this monograph.

Minatory

Introduction,Information as to the effectiveness of the treatments accrues as they are used. The overall objective is to treat as many patients as effectively as possible. This seemingly innocent but important problem is surprisingly difficult, even when the responses are dichotomous, either success or failure. It is an example of a two-armed bandit problem.

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Two arms, one arm known,died in .., now abbreviated to ., the distribution of the random measure ... For arbitrary . we can, without loss, assume that arm 2 always produces the known observation . Since . is given by the pair (.), we now speak of the (., .; .)-bandit.

capsule

Two independent Bernoulli arms; uniform discounting,nce . has horizon n and is uniform: . . = ... = . . = 1 and . . = . . = ... = 0. Such uniform discounting has been considered extensively through examples in the first five chapters of this book, and in the literature generally. The objective implicit in uniform discounting is to maximize the expected sum of the first . observations.

Projection