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Mapping the q-voter model: From a single chain to complex networks

Author

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  • Jȩdrzejewski, Arkadiusz
  • Sznajd-Weron, Katarzyna
  • Szwabiński, Janusz

Abstract

We propose and compare six different ways of mapping the modified q-voter model to complex networks. Considering square lattices, Barabási–Albert, Watts–Strogatz and real Twitter networks, we ask the question if always a particular choice of the group of influence of a fixed size q leads to different behavior at the macroscopic level. Using Monte Carlo simulations we show that the answer depends on the relative average path length of the network and for real-life topologies the differences between the considered mappings may be negligible.

Suggested Citation

  • Jȩdrzejewski, Arkadiusz & Sznajd-Weron, Katarzyna & Szwabiński, Janusz, 2016. "Mapping the q-voter model: From a single chain to complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 110-119.
  • Handle: RePEc:eee:phsmap:v:446:y:2016:i:c:p:110-119
    DOI: 10.1016/j.physa.2015.11.005
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    Citations

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    Cited by:

    1. Byrka, Katarzyna & Jȩdrzejewski, Arkadiusz & Sznajd-Weron, Katarzyna & Weron, Rafał, 2016. "Difficulty is critical: The importance of social factors in modeling diffusion of green products and practices," Renewable and Sustainable Energy Reviews, Elsevier, vol. 62(C), pages 723-735.
    2. Bashari, Masoud & Akbarzadeh-T, Mohammad-R., 2020. "Controlling opinions in Deffuant model by reconfiguring the network topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    3. Paul R. Nail & Katarzyna Sznajd-Weron, 2016. "The diamond model of social response within an agent-based approach," HSC Research Reports HSC/16/02, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
    4. Weron, Tomasz & Kowalska-Pyzalska, Anna & Weron, Rafał, 2018. "The role of educational trainings in the diffusion of smart metering platforms: An agent-based modeling approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 591-600.

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