Unperturbed Schelling Segregation in Two or Three Dimensions

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	Unperturbed Schelling Segregation in Two or Three Dimensions
	Barmpalias, G; Elwes, R; Lewis-Pye, A
	2016
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	164 期号:6 页码:1460-1487
摘要	Schelling's models of segregation, first described in 1969 (Am Econ Rev 59:488-493, 1969) are among the best known models of self-organising behaviour. Their original purpose was to identify mechanisms of urban racial segregation. But his models form part of a family which arises in statistical mechanics, neural networks, social science, and beyond, where populations of agents interact on networks. Despite extensive study, unperturbed Schelling models have largely resisted rigorous analysis, prior results generally focusing on variants in which noise is introduced into the dynamics, the resulting system being amenable to standard techniques from statistical mechanics or stochastic evolutionary game theory (Young in Individual strategy and social structure: an evolutionary theory of institutions, Princeton University Press, Princeton, 1998). A series of recent papers (Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012); Barmpalias et al. in: 55th annual IEEE symposium on foundations of computer science, Philadelphia, 2014, J Stat Phys 158:806-852, 2015), has seen the first rigorous analyses of 1-dimensional unperturbed Schelling models, in an asymptotic framework largely unknown in statistical mechanics. Here we provide the first such analysis of 2- and 3-dimensional unperturbed models, establishing most of the phase diagram, and answering a challenge from Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012).; Schelling's models of segregation, first described in 1969 (Am Econ Rev 59:488-493, 1969) are among the best known models of self-organising behaviour. Their original purpose was to identify mechanisms of urban racial segregation. But his models form part of a family which arises in statistical mechanics, neural networks, social science, and beyond, where populations of agents interact on networks. Despite extensive study, unperturbed Schelling models have largely resisted rigorous analysis, prior results generally focusing on variants in which noise is introduced into the dynamics, the resulting system being amenable to standard techniques from statistical mechanics or stochastic evolutionary game theory (Young in Individual strategy and social structure: an evolutionary theory of institutions, Princeton University Press, Princeton, 1998). A series of recent papers (Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012); Barmpalias et al. in: 55th annual IEEE symposium on foundations of computer science, Philadelphia, 2014, J Stat Phys 158:806-852, 2015), has seen the first rigorous analyses of 1-dimensional unperturbed Schelling models, in an asymptotic framework largely unknown in statistical mechanics. Here we provide the first such analysis of 2- and 3-dimensional unperturbed models, establishing most of the phase diagram, and answering a challenge from Brandt et al. in: Proceedings of the 44th annual ACM symposium on theory of computing (STOC 2012), 2012).
收录类别	SCI ; SSCI
关键词	Schelling Segregation Algorithmic Game Theory Complex Systems Non-linear Dynamics Ising Model Spin Glass
部门归属	Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100190, Peoples R China. Victoria Univ, Sch Math Stat & Operat Res, Wellington, New Zealand. Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England. London Sch Econ, Dept Math, Columbia House, London WC2A 2AE, England.
语种	英语
WOS记录号	WOS:000382405500009
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/17304
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Barmpalias, G,Elwes, R,Lewis-Pye, A. Unperturbed Schelling Segregation in Two or Three Dimensions[J]. JOURNAL OF STATISTICAL PHYSICS,2016,164(6):1460-1487.
APA	Barmpalias, G,Elwes, R,&Lewis-Pye, A.(2016).Unperturbed Schelling Segregation in Two or Three Dimensions.JOURNAL OF STATISTICAL PHYSICS,164(6),1460-1487.
MLA	Barmpalias, G,et al."Unperturbed Schelling Segregation in Two or Three Dimensions".JOURNAL OF STATISTICAL PHYSICS 164.6(2016):1460-1487.

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