Dynamics of competing ideas in complex social systems
Yubo Wang, Gaoxi Xiao, Jian Liu

TL;DR
This paper explores how competing ideas spread and interact in complex social networks, revealing diverse outcomes like coexistence, dominance, or exclusion based on influence types.
Contribution
It introduces a novel classification of neighborhood influences as exclusive or non-exclusive and analyzes their impact on the dynamics of competing ideas in scale-free networks.
Findings
Final states vary from coexistence to exclusion depending on influence type.
Exclusive influences tend to lead to idea exclusion or dominance.
Non-exclusive influences promote coexistence of ideas.
Abstract
Individuals accepting an idea may intentionally or unintentionally impose influences in a certain neighborhood area, making other individuals within the area less likely or even impossible to accept other competing ideas. Depending on whether such influences strictly prohibit neighborhood individuals from accepting other ideas or not, we classify them into exclusive and non-exclusive influences, respectively. Our study reveals for the first time the rich and complex dynamics of two competing ideas with neighborhood influences in scale-free social networks: depending on whether they have exclusive or non-exclusive influences, the final state varies from multiple coexistence to founder control to exclusion, with different sizes of population accepting each of the ideas respectively. Such results provide insights helpful for better understanding the spread (and the control of spread) of…
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