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Published on: September 28, 2018
Breaking coexistence: Zealotry vs nonlinear social impact
Christopher R Kitching1, Lucía S Ramirez2,3, Maxi San Miguel3
1Department of Physics and Astronomy, School of Natural Sciences, The University of Manchester, Manchester M13 9PL, United Kingdom.
Zealotry can drive consensus in social models, but nonlinear social impact shapes outcomes. Sublinear impact hinders consensus by favoring minorities, while superlinear impact promotes it by favoring majorities.
Area of Science:
- Social dynamics
- Statistical physics
- Computational social science
Background:
- Consensus formation is a key aspect of social dynamics.
- Agent-based models are used to study opinion dynamics.
- Zealotry and social impact are critical factors influencing group behavior.
Purpose of the Study:
- To investigate the effects of zealotry and nonlinear social impact on consensus formation.
- To analyze these effects across three distinct models: the nonlinear voter model, evolutionary games, and the partisan voter model.
- To determine the conditions under which consensus is achieved or prevented.
Main Methods:
- Analysis of the nonlinear voter model, evolutionary games, and the partisan voter model.
- Mathematical derivation of conditions for consensus stability.
- Exploration of dynamics in both infinite and finite populations.
- Investigation of time-to-consensus and quasi-stationary distributions.
Main Results:
- Sufficiently strong zealotry can drive infinite populations to consensus in all three models.
- The nonlinear voter model shows unique behavior compared to evolutionary games and the partisan voter model.
- The shape of the social impact function is crucial: sublinear impact favors minorities and can prevent consensus, while superlinear impact favors majorities and facilitates consensus.
- General conditions linking the social impact function's slope to consensus stability were derived.
Conclusions:
- Zealotry is a powerful driver of consensus, but its effectiveness is modulated by nonlinear social impact.
- The nature of social influence (majority vs. minority effects) dictates whether zealotry leads to consensus.
- Findings provide insights into the complex interplay of individual stubbornness and group influence in shaping collective opinion.
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