Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations

doi:10.1016/j.chaos.2024.114593

CSpace

	Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations
	Pi, Jinxiu 1; Wang, Chun 2; Zhou, Die 3; Tang, Wei 2,3; Yang, Guanghui 3
	2024-03
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	180
摘要	In this paper, to state the necessary and the critical number of cooperators for completing the snow shoveling, we investigate the evolutionary dynamics of an N -person snowdrift game with two thresholds in well -mixed populations and structured populations. Firstly, we discuss the effects of these thresholds on equilibria in infinite well -mixed populations by applying the replicator equation, and observe that there exist three types of equilibria with the variations of parameters. Secondly, we study the game in finite well -mixed populations by means of the Markov process, and find that the evolutionary results converge to those in infinite population as the finite population size increases. Finally, we explore such a game in structured populations by using the pair approximation approach, and derive the dynamical equation under weak selection, which is ignored in the previous work. Results present that structured populations can create more complicated behaviors of the cooperative dynamics, and to some extent facilitate cooperation compared with well -mixed populations. Our work helpfully provides a theoretical approximation for the N -person snowdrift game in more complicated scenarios.
关键词	Evolutionary dynamics N-person snowdrift game Cooperation Structured populations
其他关键词	PROMOTES COOPERATION ; PRISONERS-DILEMMA ; SOCIAL NETWORKS ; GRAPHS
DOI	10.1016/j.chaos.2024.114593
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:001186247100001
出版者	PERGAMON-ELSEVIER SCIENCE LTD
原始文献类型	Article
EISSN	1873-2887
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://ir.library.ouchn.edu.cn/handle/39V7QQFX/169766
专题	国家开放大学
通讯作者	Yang, Guanghui
作者单位	1.Hunan Univ Arts & Sci, Sch Math & Phys, Changde 415000, Hunan, Peoples R China; 2.Guizhou Open Univ, Coll Informat Engn, Guiyang 550023, Guizhou, Peoples R China; 3.Guizhou Univ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
推荐引用方式 GB/T 7714	Pi, Jinxiu,Wang, Chun,Zhou, Die,et al. Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations[J]. CHAOS SOLITONS & FRACTALS,2024,180.
APA	Pi, Jinxiu,Wang, Chun,Zhou, Die,Tang, Wei,&Yang, Guanghui.(2024).Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations.CHAOS SOLITONS & FRACTALS,180.
MLA	Pi, Jinxiu,et al."Evolutionary dynamics of N-person snowdrift game with two thresholds in well-mixed and structured populations".CHAOS SOLITONS & FRACTALS 180(2024).