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An Improved Lion Strategy for the Lion and Man Problem

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In this letter, a novel lion strategy for David Gale’s lion and man problem is proposed. The devised approach enhances a popular strategy proposed by Sgall, which relies on the… Click to show full abstract

In this letter, a novel lion strategy for David Gale’s lion and man problem is proposed. The devised approach enhances a popular strategy proposed by Sgall, which relies on the computation of a suitable “center.” The key idea of the new strategy is to update the center at each move, instead of computing it once and for all at the beginning of the game. Convergence of the proposed lion strategy is proven and an upper bound on the game length is derived, which dominates the existing bounds.

Keywords: lion strategy; man problem; lion; strategy; lion man

Journal Title: IEEE Control Systems Letters
Year Published: 2017

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