Self-organization and time-stability of social hierarchies

  title={Self-organization and time-stability of social hierarchies},
  author={Joseph Hickey and J{\"o}rn Davidsen},
  journal={PLoS ONE},
The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate its stability. In each interaction or fight, the probability of “winning” depends solely on the relative societal status of the participants, and the winner has a gain of status whereas there is an equal loss to the loser. The interactions are characterized by… 
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