Co-evolution of the brand effect and competitiveness in evolving networks

doi:10.1088/1674-1056/23/7/070206

Abstract The principle that ‘the brand effect is attractive’ underlies the preferential attachment. Here we show that the brand effect is just one dimension of attractiveness. Another dimension is competitiveness. We firstly introduce a general framework that allows us to investigate the competitive aspect of real networks, instead of simply preferring popular nodes. Our model accurately describes the evolution of social and technological networks. The phenomenon that more competitive nodes become richer can help us to understand the evolution of many competitive systems in nature and society. In general, the paper provides an explicit analytical expression of degree distributions of the network. In particular, the model yields a nontrivial time evolution of nodes' properties and the scale-free behavior with exponents depending on the microscopic parameters characterizing the competition rules. Secondly, through theoretical analyses and numerical simulations, we reveal that our model has not only the universality for the homogeneous weighted network, but also the character for the heterogeneous weighted network. Thirdly, we also develop a model based on the profit-driven mechanism. It can better describe the observed phenomenon in enterprise cooperation networks. We show that the standard preferential attachment, the growing random graph, the initial attractiveness model, the fitness model, and weighted networks can all be seen as degenerate cases of our model.

Keywords: complex network weighted network scale-free network competitive network

Received: 05 December 2013
Revised: 01 January 2014
Accepted manuscript online:

PACS:	02.50.-r	(Probability theory, stochastic processes, and statistics)
	89.75.-k	(Complex systems)
	89.75.Hc	(Networks and genealogical trees)
	89.65.-s	(Social and economic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 70871082 and 71301104) and the Shanghai First-class Academic Discipline Project, China (Grant No. S1201YLXK).

Corresponding Authors: Guo Jin-Li
E-mail: phd5816@163.com

About author: 02.50.-r; 89.75.-k; 89.75.Hc; 89.65.-s

Cite this article:

Guo Jin-Li (郭进利) Co-evolution of the brand effect and competitiveness in evolving networks 2014 Chin. Phys. B 23 070206

[1]	Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47
[2]	Beiró M G, Buscha J R and Grynberg S P 2013 Physica A 392 2278
[3]	Guo J L, Fan C and Ji Y 2015 J. Syst. Sci. Complex (to be published)
[4]	Lu Y D, Jerath K and Singh P V 2013 Management Science 59 1783
[5]	Yuan W G, Liu Y, Cheng J J and Xiong F 2013 Acta Phys. Sin. 62 038901 (in Chinese)
[6]	Bianconi G and Barabasi A L 2001 Europhys. Lett. 54 436
[7]	Dorogovtsev S N, Mendes J F F and Samukhin A N 2000 Phys. Rev. Lett. 85 4633
[8]	Hu H B, Guo J L and Chen J 2012 Chin. Phys. B 21 118902
[9]	Wang J Y, Zhang H G, Wang Z S and Liang H J 2013 Chin. Phys. B 22 090504
[10]	Gao Z K, Hu L D and Jin N D 2013 Chin. Phys. B 22 050507
[11]	Ling X, Hu M B, Long J C, Ding J X and Shi Q 2013 Chin. Phys. B 22 018904
[12]	Papadopoulos F, Kitsak M, Serrano M Á, Boguñá M and Krioukov D 2012 Nature 489 537
[13]	Yook S H Jeong H and Barabasi A L 2001 Phys. Rev. Lett. 86 5835
[14]	Eom Y H, Jeon C, Jeong H and Kahng B 2008 Phys. Rev. E. 77 056105
[15]	Barrat A, Barthelemy M and Vespignani A 2004 Phys. Rev. Lett. 92 228701
[16]	Barrat A, Barthelemy M and Vespignani A 2004 Phys. Rev. E. 70 066149
[17]	Hanaki N, Peterhansl A, Dodds P S and Watts D J 2007 Management Science. 53 1036
[18]	Ergün G and Rodgers G J 2002 Physica A 303 261
[19]	Zheng D F, Trimper S, Zheng B and Hui P M 2003 Phys. Rev. E 67 040102
[20]	Dorogovtsev S N and Mendes J F F 2004 arXiv: cond-mat/0408343v2.

[1]	Analysis of cut vertex in the control of complex networks Jie Zhou(周洁), Cheng Yuan(袁诚), Zu-Yu Qian(钱祖燏), Bing-Hong Wang(汪秉宏), and Sen Nie(聂森). Chin. Phys. B, 2023, 32(2): 028902.
[2]	Vertex centrality of complex networks based on joint nonnegative matrix factorization and graph embedding Pengli Lu(卢鹏丽) and Wei Chen(陈玮). Chin. Phys. B, 2023, 32(1): 018903.
[3]	Evolution of donations on scale-free networks during a COVID-19 breakout Xian-Jia Wang(王先甲) and Lin-Lin Wang(王琳琳). Chin. Phys. B, 2022, 31(8): 080204.
[4]	Effect of observation time on source identification of diffusion in complex networks Chaoyi Shi(史朝义), Qi Zhang(张琦), and Tianguang Chu(楚天广). Chin. Phys. B, 2022, 31(7): 070203.
[5]	An extended improved global structure model for influential node identification in complex networks Jing-Cheng Zhu(朱敬成) and Lun-Wen Wang(王伦文). Chin. Phys. B, 2022, 31(6): 068904.
[6]	Characteristics of vapor based on complex networks in China Ai-Xia Feng(冯爱霞), Qi-Guang Wang(王启光), Shi-Xuan Zhang(张世轩), Takeshi Enomoto(榎本刚), Zhi-Qiang Gong(龚志强), Ying-Ying Hu(胡莹莹), and Guo-Lin Feng(封国林). Chin. Phys. B, 2022, 31(4): 049201.
[7]	Robust H_∞ state estimation for a class of complex networks with dynamic event-triggered scheme against hybrid attacks Yahan Deng(邓雅瀚), Zhongkai Mo(莫中凯), and Hongqian Lu(陆宏谦). Chin. Phys. B, 2022, 31(2): 020503.
[8]	Explosive synchronization: From synthetic to real-world networks Atiyeh Bayani, Sajad Jafari, and Hamed Azarnoush. Chin. Phys. B, 2022, 31(2): 020504.
[9]	Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为). Chin. Phys. B, 2022, 31(10): 100504.
[10]	Explosive synchronization in a mobile network in the presence of a positive feedback mechanism Dong-Jie Qian(钱冬杰). Chin. Phys. B, 2022, 31(1): 010503.
[11]	LCH: A local clustering H-index centrality measure for identifying and ranking influential nodes in complex networks Gui-Qiong Xu(徐桂琼), Lei Meng(孟蕾), Deng-Qin Tu(涂登琴), and Ping-Le Yang(杨平乐). Chin. Phys. B, 2021, 30(8): 088901.
[12]	Complex network perspective on modelling chaotic systems via machine learning Tong-Feng Weng(翁同峰), Xin-Xin Cao(曹欣欣), and Hui-Jie Yang(杨会杰). Chin. Phys. B, 2021, 30(6): 060506.
[13]	Dynamical robustness of networks based on betweenness against multi-node attack Zi-Wei Yuan(袁紫薇), Chang-Chun Lv(吕长春), Shu-Bin Si(司书宾), and Dong-Li Duan(段东立). Chin. Phys. B, 2021, 30(5): 050501.
[14]	Exploring individuals' effective preventive measures against epidemics through reinforcement learning Ya-Peng Cui(崔亚鹏), Shun-Jiang Ni (倪顺江), and Shi-Fei Shen(申世飞). Chin. Phys. B, 2021, 30(4): 048901.
[15]	Improving robustness of complex networks by a new capacity allocation strategy Jun Liu(刘军). Chin. Phys. B, 2021, 30(1): 016401.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Co-evolution of the brand effect and competitiveness in evolving networks

Cite this article:

Online attention