The cooperative action of individuals building a social system is possible because of connections spanning the system. The network connecting individuals is not static but its structure changes over time, reflecting an on-going adaptation to constant changes in the neighborhood and environment. The evolution of social connections is influenced by the relative position (hierarchy) of individuals building the system as well as by the availability of resources.

We suggest and analyze a simple model of hierarchy development and maintenance. The model explores an interplay between social networking and an uneven distribution of external resources, which are responsible for the overall system properties.

The proposed model naturally generate social hierarchies. The generated social structures exhibit a rise and fall behavior. A well pronounced quasi-periodic dynamics, which is closely associated to the dissipation of resources that are needed to sustain the social links, is revealed. Consequently, it is demonstrated that social position is very fragile and vitally depends on constant supply of new resources.

References:

B. Dybiec, N. Mitarai and K. Sneppen, Phys. Scr. 89, 085002 (2014).

B. Dybiec, N. Mitarai and K. Sneppen, Phys. Rev. E 85, 056116 (2012).

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