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Some results about pursuit games on metric spaces obtained through graph theory techniques - MaRDI portal

Some results about pursuit games on metric spaces obtained through graph theory techniques (Q1821043)

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scientific article; zbMATH DE number 3997586
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English
Some results about pursuit games on metric spaces obtained through graph theory techniques
scientific article; zbMATH DE number 3997586

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    Some results about pursuit games on metric spaces obtained through graph theory techniques (English)
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    1986
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    We introduce a class of discrete pursuit games played on a metric space and we use graph theory techniques in order to characterize those of the situations which allow a victory of the player pursuer. Besides this, we give some equilibrium results, we present some pathological situations, and we conclude by establishing a bridge between our discrete model and the classical continuous models for the pursuit games.
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    graph
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    discrete pursuit games
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    metric space
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