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

文献类型：期刊论文

作者Sun, Xiaoming1,2; Sun, Yuan1,2; Xia, Zhiyu1,2; Zhang, Jialin1,2
刊名THEORETICAL COMPUTER SCIENCE
出版日期2020-10-24
卷号838页码:143-159
关键词Game theory Nash equilibrium Location game Graph theory
ISSN号0304-3975
DOI10.1016/j.tcs.2020.06.028
英文摘要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.
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
语种英语
WOS记录号WOS:000566368800011
出版者ELSEVIER
源URL[http://119.78.100.204/handle/2XEOYT63/15768]  
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Comp Technol, CAS Key Lab Network Data Sci & Technol, Beijing 100190, 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.

入库方式： OAI收割

来源：计算技术研究所

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