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The emergence of a core–periphery structure in evolving multilayer network

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  • Beranek, L.
  • Remes, R.

Abstract

The application of the evolutionary game method to studying dynamics on multilayer networks is a current hot issue. However, most current evolutionary game models do not consider some constraints affecting the development of the relationship structure in a multilayer network. Therefore, this paper proposes a new model to explain the emergence and evolution of core and periphery structures in a multilayer network. Our model includes the direct costs of maintaining interactions between players in the game model. We also introduce the ability to end disadvantageous interactions (a defective neighbor that does not bring benefits is disconnected). Third, when establishing new relationships, a player establishes a relationship with another based on the estimate (trust) that this player will cooperate. The simulation results show that a core of densely connected cooperative players gradually emerges, isolating defectors on the periphery and gaining additional advantages. The proposed model contributes to understanding the emergence and development of the core–periphery structure in a multilayered network with a core formed either between players in the same layers or between players from other layers (across layers).

Suggested Citation

  • Beranek, L. & Remes, R., 2023. "The emergence of a core–periphery structure in evolving multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    • Handle: RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000390
    DOI: 10.1016/j.physa.2023.128484
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    References listed on IDEAS

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    1. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    2. Francisco C Santos & Jorge M Pacheco & Tom Lenaerts, 2006. "Cooperation Prevails When Individuals Adjust Their Social Ties," PLOS Computational Biology, Public Library of Science, vol. 2(10), pages 1-8, October.
    3. Theodore C. Bergstrom, 2002. "Evolution of Social Behavior: Individual and Group Selection," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 67-88, Spring.
    4. Nobuyuki Hanaki & Alexander Peterhansl & Peter S. Dodds & Duncan J. Watts, 2007. "Cooperation in Evolving Social Networks," Management Science, INFORMS, vol. 53(7), pages 1036-1050, July.
    5. Li, Gang & Sun, Xiaochen, 2021. "Evolutionary game on a growing multilayer network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    6. Vinícius da Fonseca Vieira & Carolina Ribeiro Xavier & Nelson Francisco Favilla Ebecken & Alexandre Gonçalves Evsukoff, 2014. "Performance Evaluation of Modularity Based Community Detection Algorithms in Large Scale Networks," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-15, December.
    7. Wu, Jiadong & Zhao, Chengye, 2020. "Better immigration: Prisoner’s dilemma game with population change on dynamic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    8. Qi Su & Alex McAvoy & Yoichiro Mori & Joshua B. Plotkin, 2022. "Evolution of prosocial behaviours in multilayer populations," Nature Human Behaviour, Nature, vol. 6(3), pages 338-348, March.
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    Cited by:

    1. Liming Zhang & Ming Cai & Yingxin Zhang & Shuai Wang & Yao Xiao, 2024. "Two-layer network evolutionary game model applied to complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-17, November.

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