Spatial Self-organization Through Success-Driven Mobility

  • Dirk Helbing
Part of the Understanding Complex Systems book series (UCS)


We present a simple discrete model for the non-linear spatial interaction of different kinds of “subpopulations” composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of self-organized agglomeration and segregation phenomena. By relating it to game-theoretical ideas, it can be applied not only to attractive and repulsive interactions in physical and chemical systems, but also to the much richer combinations of positive and negative interactions found in biological and socio-economic systems. Apart from investigating symmetric interactions related to a continuous increase of the “overall success” within the system (“self-optimization”), we will focus on cases, where fluctuations further or induce self-organization, even though the initial conditions and the interactions are assumed homogeneous in space (translation invariant).


Noise Amplitude Payoff Matrix Payoff Matrice Asymmetric Interaction Critical Noise 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



D.H. thanks Eörs Szathmáry and Tamás Vicsek for inspiring discussions and the German Research Foundation (DFG) for financial support by a Heisenberg scholarship. T.P. is grateful to the Alexander-von-Humboldt Foundation for financial support during his stay in Stuttgart.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Dirk Helbing
    • 1
  1. 1.CLU E1ETH ZurichZurichSwitzerland

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