Types of stable network structures based on exhaustive search

被引:2
作者
Liu, Dehai [1 ]
Huang, Jing [1 ]
Li, Hongyi [2 ]
Wang, Weiguo [1 ]
机构
[1] Dongbei Univ Finance & Econ, Ctr Econometr Anal & Forecasting, Dalian 116025, Peoples R China
[2] Chinese Univ Hong Kong, Dept Decis Sci & Managerial Econ, Sch Business, Shatin, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
Stable social network; Network evolution; Efficiency; Connections model; Exhaustive search; SOCIAL NETWORKS; COST RANGE; UTILITIES; EVOLUTION;
D O I
10.1016/j.socnet.2013.01.006
中图分类号
Q98 [人类学];
学科分类号
030303 ;
摘要
Based on the works of Doreian [Doreian, P., 2006. Actor network utilities and network evolution. Social Networks 28, 137-164] and Xie and Cui [Xie, F., Cui, W., 2008b. A note on the paper 'cost range and the stable network structures'. Social Networks 30, 102-103], the paper applies exhaustive search and inductive approaches to analyze possible transitions among isomeric social networks with five vertices. A total of seven types of stable network structures are identified, which include the complete, star, chain, cycle, near-chain, near-cycle and null graphs. Then, a modified theorem for the equilibrium forms which corrects the previous work is presented. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:124 / 129
页数:6
相关论文
共 11 条
[1]  
[Anonymous], 1992, Structural Holes
[2]   Social networks, social interactions, and activity-travel behavior: a framework for microsimulation [J].
Arentze, Theo ;
Timmermans, Harry .
ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, 2008, 35 (06) :1012-1027
[3]  
Coleman James.S., 1994, Foundations of Social Theory
[4]   Actor network utilities and network evolution [J].
Doreian, P .
SOCIAL NETWORKS, 2006, 28 (02) :137-164
[5]  
Doreian P., 1997, EVOLUTION SOCIAL NET, P1
[6]   A note on actor network utilities and network evolution [J].
Doreian, Patrick .
SOCIAL NETWORKS, 2008, 30 (01) :104-106
[7]   Utility and dynamic social networks [J].
Hummon, NP .
SOCIAL NETWORKS, 2000, 22 (03) :221-249
[8]   A strategic model of social and economic networks [J].
Jackson, MO ;
Wolinsky, A .
JOURNAL OF ECONOMIC THEORY, 1996, 71 (01) :44-74
[9]   Tutorial on agent-based modelling and simulation [J].
Macal, C. M. ;
North, M. J. .
JOURNAL OF SIMULATION, 2010, 4 (03) :151-162
[10]   Cost range and the stable network structures [J].
Xie, Fengjie ;
Cui, Wentian .
SOCIAL NETWORKS, 2008, 30 (01) :100-101