Agent based models and opinion dynamics as Markov chains

@article{Banisch2012AgentBM,
  title={Agent based models and opinion dynamics as Markov chains},
  author={Sven Banisch and R. Lima and T. Ara{\'u}jo},
  journal={Soc. Networks},
  year={2012},
  volume={34},
  pages={549-561}
}
  • Sven Banisch, R. Lima, T. Araújo
  • Published 2012
  • Mathematics, Physics, Computer Science
  • Soc. Networks
  • This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM dynamics as a micro description of the process, we show how the corresponding macro description is obtained by a projection construction. Then, well known conditions for lumpability make it possible to establish the cases where the macro model is stillMarkov. In this case we obtain a complete picture of the dynamics… CONTINUE READING

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