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Exact solution of the Bellman equation for a \(\beta\)-discounted reward in a two-armed bandit with switching arms - MaRDI portal

Exact solution of the Bellman equation for a \(\beta\)-discounted reward in a two-armed bandit with switching arms (Q1307621)

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scientific article; zbMATH DE number 1359780
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English
Exact solution of the Bellman equation for a \(\beta\)-discounted reward in a two-armed bandit with switching arms
scientific article; zbMATH DE number 1359780

    Statements

    Exact solution of the Bellman equation for a \(\beta\)-discounted reward in a two-armed bandit with switching arms (English)
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    14 February 2000
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    Summary: We consider the symmetric Poissonian two-armed bandit problem. For the case of switching arms, only one of which creates reward, we solve explicitly the Bellman equation for a \(\beta\)-discounted reward and prove that a myopic policy is optimal.
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    two-armed bandit
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    switching arms
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    Bellman equation
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    \(\beta\)-discounted reward
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