Statistical mechanics of the fashion game on random networks
Sun, YF
刊名JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
2016
页码23203
关键词phase diagrams (theory) MAJORITY-VOTE cavity and replica method GRAPHS random graphs LATTICE networks CYCLES MODEL
DOIhttp://dx.doi.org/10.1088/1742-5468/2016/02/023203
英文摘要A model of fashion on networks is studied. This model consists of two groups of agents that are located on a network and have opposite viewpoints towards being fashionable: behaving consistently with either the majority or the minority of adjacent agents. Checking whether the fashion game has a pure Nash equilibrium (pure NE) is a non-deterministic polynomial complete problem. Using replica-symmetric mean field theory, the largest proportion of satisfied agents and the region where at least one pure NE should exist are determined for several types of random networks. Furthermore, a quantitive analysis of the asynchronous best response dynamics yields the phase diagram of existence and detectability of pure NE in the fashion game on some random networks.
学科主题Mechanics ; Physics
语种英语
资助机构Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China [14XNLF13] ; Open Project Program of State Key Laboratory of Theoretical Physics, the Institute of Theoretical Physics, the Chinese Academy of Sciences, China [Y5KF201CJ1]
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/23329]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Renmin Univ China, Sch Stat, Ctr Appl Stat, Beijing 100872, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Sun, YF. Statistical mechanics of the fashion game on random networks[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2016:23203.
APA Sun, YF.(2016).Statistical mechanics of the fashion game on random networks.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,23203.
MLA Sun, YF."Statistical mechanics of the fashion game on random networks".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016):23203.
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