On Some Excess-Based Solution Concepts of a Cooperative Game of Pursuit

被引：0

作者：

Pankratova, Yaroslavna ^{[1
]}

Tarashnina, Svetlana ^{[1
]}

机构：

[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

来源：

2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP) | 2015年

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暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study a group pursuit game with players - an evader and m pursuers - moving on a plane with bounded velocities. The game is nonzero-sum. The Nash equilibrium is proposed as a solution of the game. We construct a cooperative version of this game and show that its core is not empty. In addition, we consider a particular case when the evader is symmetrically surrounded by the pursuers. The analytical formulas for calculating the nucleolus and the SM-nucleolus are verified. Finally, we give an example that illustrates the results.

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页码：252 / 255

页数：4

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