Continuous accumulation games in continuous regions

被引:9
|
作者
Ruckle, WH [1 ]
Kikuta, K
机构
[1] Clemson Univ, Clemson, SC 29631 USA
[2] Kobe Univ Commerce, Dept Management Sci, Kobe, Hyogo, Japan
基金
美国国家科学基金会;
关键词
search games; two-person zero-sum games; accumulation games;
D O I
10.1023/A:1004609529766
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
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.
引用
收藏
页码:581 / 601
页数:21
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