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Optimal convergence in fame game with familiarity

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  • Yi-Ling, Wang
  • Gui-Qing, Zhang

Abstract

A modified fame game is proposed by introducing familiarity between agents in the evolution process. We assume that since an agent is recommended, the forgotten probability by the taker decreases with the times that it has been recommended. At the same time, a tunable parameter is introduced to character the correlation between interaction strength and the familiarity. We find that there exists an optimal parameter value leading to the fastest convergence. We attribute this optimal phenomenon to the balance between the recommendation efficiency and the success rate of recommendation. Moreover, some other relevant characters, such as the time interval of forgetting each agent and the success rate of recommendation, are also investigated to understand the dynamics of the modified fame game.

Suggested Citation

  • Yi-Ling, Wang & Gui-Qing, Zhang, 2013. "Optimal convergence in fame game with familiarity," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 222-226.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:222-226
    DOI: 10.1016/j.chaos.2013.08.011
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    1. Zhen Wang & Lin Wang & Zi-Yu Yin & Cheng-Yi Xia, 2012. "Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    2. Katarzyna Sznajd-Weron & Józef Sznajd, 2000. "Opinion Evolution In Closed Community," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1157-1165.
    3. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    4. Lin Wang & Xiang Li & Yi-Qing Zhang & Yan Zhang & Kan Zhang, 2011. "Evolution of Scaling Emergence in Large-Scale Spatial Epidemic Spreading," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-11, July.
    5. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    6. Zhang, Gui-Qing & Sun, Qi-Bo & Wang, Lin, 2013. "Noise-induced enhancement of network reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 31-35.
    7. Matjaž Perc & Zhen Wang, 2010. "Heterogeneous Aspirations Promote Cooperation in the Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-8, December.
    8. Lei, Chuang & Jia, Jianyuan & Wu, Te & Wang, Long, 2010. "Coevolution with weights of names in structured language games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5628-5634.
    9. Xia, Cheng-yi & Wang, Zhen & Sanz, Joaquin & Meloni, Sandro & Moreno, Yamir, 2013. "Effects of delayed recovery and nonuniform transmission on the spreading of diseases in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1577-1585.
    10. Wen-Bo Du & Xian-Bin Cao & Hao-Ran Zheng & Hong Zhou & Mao-Bin Hu, 2009. "Evolutionary Games In Multi-Agent Systems Of Weighted Social Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 701-710.
    11. Klemm, Konstantin & Eguı́luz, Vı́ctor M & Toral, Raúl & Miguel, Maxi San, 2003. "Role of dimensionality in Axelrod's model for the dissemination of culture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 1-5.
    12. Wang, Zhen & Du, Wen-Bo & Cao, Xian-Bin & Zhang, Lian-Zhong, 2011. "Integrating neighborhoods in the evaluation of fitness promotes cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1234-1239.
    13. Ke Hu & Yi Tang, 2009. "Consensus Formation In Weighted Scale-Free Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 677-686.
    14. Jin, Qing & Wang, Zhen & Wang, Zhen & Wang, Yi-Ling, 2012. "Strategy changing penalty promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 395-401.
    15. de Oliveira, Viviane M. & Gomes, M.A.F. & Tsang, I.R., 2006. "Theoretical model for the evolution of the linguistic diversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 361-370.
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