Institutional Repository
| Unperturbed Schelling Segregation in Two or Three Dimensions | |
| Barmpalias, G; Elwes, R; Lewis-Pye, A | |
| 2016 | |
| Source | JOURNAL OF STATISTICAL PHYSICS
 |
| ISSN | 0022-4715 |
| Volume | 164Issue:6Pages:1460-1487 |
| English Abstract | 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). |
| Indexed Type | SCI ; SSCI |
| Keyword | Schelling Segregation Algorithmic Game Theory Complex Systems Non-linear Dynamics Ising Model Spin Glass |
| Department | 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. |
| Language | 英语 |
| WOS ID | WOS:000382405500009 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/17304 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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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