Chin. Phys. Lett.  2018, Vol. 35 Issue (9): 098901    DOI: 10.1088/0256-307X/35/9/098901
CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Way of Breaking Links in the Evolution of Cooperation
Ai-Zhi Liu1†, Yan-Ling Zhang1†, Chang-Yin Sun2**
1Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083
2School of Automation, Southeast University, Nanjing 210096
Cite this article:   
Ai-Zhi Liu, Yan-Ling Zhang, Chang-Yin Sun 2018 Chin. Phys. Lett. 35 098901
Download: PDF(984KB)   PDF(mobile)(966KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We investigate how the way of breaking links and establishing links impacts cooperation by comparing four coevolutionary rules. In the rules, a player chooses to break an existing link according to his environment, and the establishment of a new link depends on the environment of the potential neighbor. It is found that the way of breaking links plays a key role in promoting cooperation. The way of establishing links has a negligible effect on cooperation, but determines the population structure. Our results may provide some insights into understanding the evolution of cooperation.
Received: 11 April 2018      Published: 29 August 2018
PACS:  89.75.Fb (Structures and organization in complex systems)  
  02.50.Le (Decision theory and game theory)  
  87.23.Kg (Dynamics of evolution)  
Fund: Supported by the National Natural Science Foundation of China under Grant Nos 61603036, 61520106009 and U1713209.
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/35/9/098901       OR      https://cpl.iphy.ac.cn/Y2018/V35/I9/098901
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
Ai-Zhi Liu
Yan-Ling Zhang
Chang-Yin Sun
[1]Nowak M A 2006 Science 314 1560
[2]Rand D G and Nowak M A 2013 Trends Cognitive Sci. 17 413
[3]Perc M, Jordan D G and Jillian J R 2017 Phys. Rep. 687 1
[4]Su Q, Li A M and Wang L 2017 New J. Phys. 19 103023
[5]Zhang Y L, Chen X J, Liu A Z and Sun C Y 2018 Appl. Math. Comput. 321 1339
[6]Yang H X and Chen X J 2018 Appl. Math. Comput. 316 460
[7]Wang Q, He N R and Chen X J 2018 Appl. Math. Comput. 328 162
[8]Feng X, Wu B and Wang L 2018 J. Theor. Biol. 439 65
[9]Du J M and Tang L X 2018 J. Stat. Mech. 2018 013403
[10]Cong R, Zhao Q C, Li K and Wang L 2017 Sci. Rep. 7 14015
[11]Xu W H, Zhang Y L, Xie G M and Feng X 2015 Chin. Phys. Lett. 32 028701
[12]Du P, Xu C and Zhang W 2015 Chin. Phys. Lett. 32 058901
[13]Wang Z, Wang L, Szolnoki A and Perc M 2015 Eur. Phys. J. B 88 124
[14]Ohtsuki H, Hauert C, Lieberman E and Nowak M A 2006 Nature 441 502
[15]Rand D G, Nowak M A, Fowler J H and Christakis N A 2014 Proc. Natl. Acad. Sci. USA 111 17093
[16]Chen X J, Fu F and Wang L 2008 Phys. Lett. A 372 1161
[17]Zhang Y L and Fu F 2018 PLoS ONE 13 e0196524
[18]Zhang Y L, Liu A Z and Sun C Y 2016 Sci. Rep. 6 35114
[19]Zimmermann M G, Eguiluz V M and Miguel S M 2004 Phys. Rev. E 69 065102
[20]Pacheco J M, Traulsen A and Nowak M A 2006 Phys. Rev. Lett. 97 258103
[21]Fehl K, D J van der Post and Semmann D 2011 Ecology Lett. 14 546
[22]Rand D G, Arbesman S and Christakis N A 2011 Proc. Natl. Acad. Sci. USA 108 19193
[23]Shirado H, Fu F, Fowler J H and Christakis N A 2013 Nat. Commun. 4 2814
[24]Wang J, Suri S and Watts D J 2012 Proc. Natl. Acad. Sci. USA 109 14363
[25]Poncela J, Gomez-Gardenes J, Floria L M, Sanchez A and Moreno Y 2008 PLoS ONE 3 e2449
[26]Poncela J, Gomez-Gardenes J, Traulsen A and Moreno Y 2009 New J. Phys. 11 083031
[27]S Van Segbroeck, Santos F C, Lenaerts T and Pacheco J M 2009 Phys. Rev. Lett. 102 058105
[28]Fu F, Wu T and Wang L 2009 Phys. Rev. E 79 036101
[29]Wu B, Zhou D, Fu F, Luo Q J, Wang L and Traulsen A 2010 PLoS ONE 5 e11187
[30]Vainstein M H and Arenzon J J 2001 Phys. Rev. E 64 051905
[31]Helbing D and Yu W J 2009 Proc. Natl. Acad. Sci. USA 106 3680
[32]Wu T, Fu F and Wang L 2011 PLoS ONE 6 e27669
[33]Cong R, Wu B, Qiu Y Y and Wang L 2012 PLoS ONE 7 e35776
[34]Yang H X, Wang W X, Lai Y C and Wang B H 2012 Phys. Lett. A 376 282
[35]Huang K K, Zheng X P, Li Z J and Yang Y Q 2015 Sci. Rep. 5 14783
[36]Chu C, Liu J Z, Shen C, Jin J H, Tang Y X and Shi L 2017 Chaos, Solitons Fractals 104 28
[37]Shen C, Chu C, Shi L, Perc M and Wang Z 2018 R. Soc. Open Sci. 5 180199
[38]Takesue H, Ozawa A and Morikawa S 2017 Europhys. Lett. 118 48002
[39]Yang Z H, Li Z, Wu T and Wang L 2015 Europhys. Lett. 109 40013
[40]Deng L L, Tang W S and Zhang J X 2011 Chin. Phys. Lett. 28 070204
[41]Santos F C, Pacheco J M and Lenaerts T 2006 PLoS Comput. Biol. 2 e140
[42]Fu F, Hauert C, Nowak M A and Wang L 2008 Phys. Rev. E 78 026117
[43]Szolnoki A, Perc M and Danku Z 2008 Europhys. Lett. 84 50007
[44]Szolnoki A and Perc M 2009 Europhys. Lett. 86 30007
[45]Tanimoto J 2009 Physica A 388 953
[46]Perc M and Szolnoki A 2010 Biosystems 99 109
[47]Cong R, Wu T, Qiu Y Y and Wang L 2014 Phys. Lett. A 378 950
[48]Chen W, Wu T, Li Z W and Wang L 2016 Physica A 443 192
[49]Jin Q, Wang L, Xia C Y and Wang Z 2015 Sci. Rep. 4 4095
[50]Wu T, Fu F and Wang L 2009 Phys. Rev. E 80 026121
[51]Wu T, Fu F and Wang L 2009 Europhys. Lett. 88 30011
[52]Li Z, Yang Z H, Wu T and Wang L 2014 PLoS ONE 9 e97866
[53]Du F Q and Fu F 2011 Dynamic Games Appl. 1 354
[54]Khoo T, Fu F and Pauls S 2016 Sci. Rep. 6 36293
[55]Wang Z, Wang L, Yin Z Y and Xia C Y 2012 PLoS ONE 7 e40218
[56]Zimmermann M G and Eguiluz V M 2005 Phys. Rev. E 72 056118
[57]Chen X J, Fu F and Wang L 2009 Phys. Rev. E 80 051104
Related articles from Frontiers Journals
[1] Xiu-Lian Xu, Jin-Xuan Shi . Characterization of the Topological Features of Catalytic Sites in Protein Coevolution Networks *[J]. Chin. Phys. Lett., 0, (): 098901
[2] Xiu-Lian Xu, Jin-Xuan Shi . Characterization of the Topological Features of Catalytic Sites in Protein Coevolution Networks[J]. Chin. Phys. Lett., 2020, 37(6): 098901
[3] Jin-Fa Wang, Xiao Liu, Hai Zhao, Xing-Chi Chen. Anomaly Detection of Complex Networks Based on Intuitionistic Fuzzy Set Ensemble[J]. Chin. Phys. Lett., 2018, 35(5): 098901
[4] Lin-Lin Wei, Shuai-Shuai Sun, Kai Sun, Yu Liu, Ding-Fu Shao, Wen-Jian Lu, Yu-Ping Sun, Huan-Fang Tian, Huai-Xin Yang. Charge Density Wave States and Structural Transition in Layered Chalcogenide TaSe$_{2-x}$Te$_{x}$[J]. Chin. Phys. Lett., 2017, 34(8): 098901
[5] Wen Xiao, Chao Yang, Ya-Ping Yang, Yu-Guang Chen. Phase Transition in Recovery Process of Complex Networks[J]. Chin. Phys. Lett., 2017, 34(5): 098901
[6] Chang-Quan Chen, Qiong-Lin Dai, Wen-Chen Han, Jun-Zhong Yang. Evolutionary Games in Two-Layer Networks with the Introduction of Dominant Strategy[J]. Chin. Phys. Lett., 2017, 34(2): 098901
[7] Jian Jiang, Rui Zhang, Long Guo, Wei Li, Xu Cai. Network Aggregation Process in Multilayer Air Transportation Networks[J]. Chin. Phys. Lett., 2016, 33(10): 098901
[8] Rui-Wu Niu, Gui-Jun Pan. Self-Organized Optimization of Transport on Complex Networks[J]. Chin. Phys. Lett., 2016, 33(06): 098901
[9] Xiu-Lian Xu, Chun-Ping Liu, Da-Ren He. A Collaboration Network Model with Multiple Evolving Factors[J]. Chin. Phys. Lett., 2016, 33(04): 098901
[10] Yi-Run Ruan, Song-Yang Lao, Yan-Dong Xiao, Jun-De Wang, Liang Bai. Identifying Influence of Nodes in Complex Networks with Coreness Centrality: Decreasing the Impact of Densely Local Connection[J]. Chin. Phys. Lett., 2016, 33(02): 098901
[11] ZHANG Wen, LI Yao-Sheng, XU Chen. Co-operation and Phase Behavior under the Mixed Updating Rules[J]. Chin. Phys. Lett., 2015, 32(11): 098901
[12] FANG Pin-Jie, ZHANG Duan-Ming, HE Min-Hua, JIANG Xiao-Qin. Exact Solution for Clustering Coefficient of Random Apollonian Networks[J]. Chin. Phys. Lett., 2015, 32(08): 098901
[13] BAI Liang, XIAO Yan-Dong, HOU Lv-Lin, LAO Song-Yang. Smart Rewiring: Improving Network Robustness Faster[J]. Chin. Phys. Lett., 2015, 32(07): 098901
[14] DU Peng, XU Chen, ZHANG Wen. Cooperation and Phase Separation Driven by a Coevolving Snowdrift Game[J]. Chin. Phys. Lett., 2015, 32(5): 098901
[15] JU Ping, YANG Jun-Zhong. Synchronization Dynamics in a System of Multiple Interacting Populations of Phase Oscillators[J]. Chin. Phys. Lett., 2015, 32(03): 098901
Viewed
Full text


Abstract