Continuous Accumulation Games in Continuous Regions

W. H. Ruckle and K. Kikuta
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W. H. Ruckle: Clemson University
K. Kikuta: Kobe University of Commerce

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 3, No 8, 601 pages

Abstract: Abstract In a continuous accumulation game on a continuous region, a Hider distributes material over a continuous region at each instant of discrete time, and a Seeker examines the region. If the Seeker locates any of the material hidden, the Seeker confiscates it. The goal of the Hider is to accumulate a certain amount of material before a given time, and the goal of the Seeker is to prevent this. In previous works, we have studied accumulation games involving discrete objects and continuous material over discrete locations. The issues raised when the region is continuous are substantially different. In this paper, we study accumulation of continuous material over two types of continuous regions: the interval and the circle.

Keywords: search games; two-person zero-sum games; accumulation games (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004609529766

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