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The algorithm designer versus nature: A game-theoretic approach to information-based complexity - MaRDI portal

The algorithm designer versus nature: A game-theoretic approach to information-based complexity (Q1100895)

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scientific article; zbMATH DE number 4045146
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The algorithm designer versus nature: A game-theoretic approach to information-based complexity
scientific article; zbMATH DE number 4045146

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    The algorithm designer versus nature: A game-theoretic approach to information-based complexity (English)
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    1987
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    A new setting for analyzing problems in information-based complexity is formulated and discussed. By using concepts from two-person zero-sum game theory, a randomized setting results from defining the nth minimal radius as an infimum over ``mixed'' strategies of information operators and algorithms. After presenting an example, some general results are developed on the randomized radius and its relationship to average and worst case radii.
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    average case analysis
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    information-based complexity
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    two-person zero-sum game
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    randomized setting
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