The one-round multi-player discrete Voronoi game on grids and trees

doi:10.1016/j.tcs.2020.06.028

	The one-round multi-player discrete Voronoi game on grids and trees
	Sun, Xiaoming 1,2; Sun, Yuan 1,2; Xia, Zhiyu 1,2; Zhang, Jialin 1,2
	2020-10-24
发表期刊	THEORETICAL COMPUTER SCIENCE
ISSN	0304-3975
卷号	838 页码:143-159
摘要	Basing on the two-player Voronoi game introduced by Ahn et al. [1] and the multi-player diffusion game introduced by Alon et al. [2], we investigate the following one-round multiplayer discrete Voronoi game on grids and trees. There are n players playing this game on a graph G = (V, E). Each player chooses an initial vertex from the vertex set of the graph and tries to maximize the size of the nearest vertex set. As the main result, we give sufficient conditions for the existence/non-existence of a pure-strategy Nash equilibrium in 4-player games on grids and only a constant gap leaves unknown. We further consider this game with more than 4 players and construct a family of strategy profiles, which are pure-strategy Nash equilibria on sufficiently narrow graphs. Besides, we investigate the game with 3 players on trees and design a linear time/space algorithm to decide the existence of a pure-strategy Nash equilibrium. (C) 2020 Elsevier B.V. All rights reserved.
关键词	Game theory Nash equilibrium Location game Graph theory
DOI	10.1016/j.tcs.2020.06.028
收录类别	SCI
语种	英语
资助项目	973 Program of China[2016YFB1000201] ; National Natural Science Foundation of China[61832003] ; National Natural Science Foundation of China[61761136014] ; National Natural Science Foundation of China[61872334] ; K. C. Wong Education Foundation
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000566368800011
出版者	ELSEVIER
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/15769
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Sun, Xiaoming; Sun, Yuan; Xia, Zhiyu; Zhang, Jialin
作者单位	1.Chinese Acad Sci, Inst Comp Technol, CAS Key Lab Network Data Sci & Technol, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Sun, Xiaoming,Sun, Yuan,Xia, Zhiyu,et al. The one-round multi-player discrete Voronoi game on grids and trees[J]. THEORETICAL COMPUTER SCIENCE,2020,838:143-159.
APA	Sun, Xiaoming,Sun, Yuan,Xia, Zhiyu,&Zhang, Jialin.(2020).The one-round multi-player discrete Voronoi game on grids and trees.THEORETICAL COMPUTER SCIENCE,838,143-159.
MLA	Sun, Xiaoming,et al."The one-round multi-player discrete Voronoi game on grids and trees".THEORETICAL COMPUTER SCIENCE 838(2020):143-159.