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Interaction patterns and coordination in two population groups: A dynamic perspective

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  • Xu, Bo
  • Wang, Ying
  • Han, Yu
  • He, Yuchang
  • Wang, Ziwei

Abstract

We examine the influence of interaction patterns between different groups on the replicator dynamics of evolutionary coordination game. We show that: (1) Global coordination is always a possible solution in two-group coordination games; (2) There is no stable rest point within or on the axes of the phase plane F, i.e. within each population group, internal coordination is the only stable outcome at equilibrium; (3) If the interaction frequency exceeds a threshold value (p>1/2 in our model), a moderate wealth distribution ratio will always drive the system to converge at global coordination.

Suggested Citation

  • Xu, Bo & Wang, Ying & Han, Yu & He, Yuchang & Wang, Ziwei, 2021. "Interaction patterns and coordination in two population groups: A dynamic perspective," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307748
    DOI: 10.1016/j.chaos.2020.110380
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