Heterophilious Dynamics Enhances Consensus

@article{Motsch2014HeterophiliousDE,
  title={Heterophilious Dynamics Enhances Consensus},
  author={S{\'e}bastien Motsch and Eitan Tadmor},
  journal={SIAM Rev.},
  year={2014},
  volume={56},
  pages={577-621}
}
We review a general class of models for self-organized dynamics based on alignment. The dynamics of such systems is governed solely by interactions among individuals or “agents,” with the tendency to adjust to their “environmental averages.” This, in turn, leads to the formation of clusters, e.g., colonies of ants, flocks of birds, parties of people, rendezvous in mobile networks, etc. A natural question which arises in this context is to ask when and how clusters emerge through the self… 
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References

SHOWING 1-10 OF 150 REFERENCES
A New Model for Self-organized Dynamics and Its Flocking Behavior
We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the
Swarming in homogeneous environments: a social interaction based framework.
Pattern formation, social forces, and diffusion instability in games with success-driven motion
A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in
Mathematical models of swarming and social aggregation
TLDR
Some of the problems (both mathematical and biological) connected with aggregation of social organisms and some mathematical and modelling challenges are surveyed and recent work with collegues on swarming behaviour is described.
Cucker--Smale Flocking under Hierarchical Leadership
TLDR
The emergent behavior of Cucker–Smale flocking under hierarchical leadership is studied and the rates of convergence towards asymptotically coherent group patterns in different scenarios are established.
Birds of a Feather: Homophily in Social Networks
Similarity breeds connection. This principle—the homophily principle—structures network ties of every type, including marriage, friendship, work, advice, support, information transfer, exchange,
Self-Organized Shape and Frontal Density of Fish Schools
Models of swarming (based on avoidance, alignment and attraction) produce patterns of behaviour also seen in schools of fish. However, the significance of such similarities has been questioned,
On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by
Bacterial self–organization: co–enhancement of complexification and adaptability in a dynamic environment
  • E. Ben-Jacob
  • Engineering
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
TLDR
It is proposed that the informative communication between individuals makes possible the enhancement of the individuals' regulated freedom, while increasing their cooperation, via cooperative complexification of the colony through self–organization of hierarchical spatio–temporal patterning.
Contagion Shocks in One Dimension
We consider an agent-based model of emotional contagion coupled with motion in one dimension that has recently been studied in the computer science community. The model involves movement with a speed
...
...