@article{Förster:151381,
      recid = {151381},
      author = {Förster, Manuel and Grabisch, Michel and Rusinowska,  Agnieszka},
      title = {Anonymous Social Influence},
      address = {2013-05},
      number = {824-2016-54692},
      series = {CCSD},
      pages = {40},
      year = {2013},
      abstract = {We study a stochastic model of influence where agents have  “yes” or “no” inclinations on some issue, and opinions may  change due to mutual influence among the agents. Each agent  independently aggregates the opinions of the other agents  and possibly herself. We study influence processes modelled  by ordered weighted averaging operators, which are  anonymous: they only depend on how many agents share an  opinion. For instance, this allows to study situations  where the influence process is based on majorities, which  are not covered by the classical approach of weighted  averaging aggregation. We find a necessary and sufficient  condition for convergence to consensus and characterize  outcomes where the society ends up polarized. Our results  can also be used to understand more general situations,  where ordered weighted averaging operators are only used to  some extent. We provide an analysis of the speed of  convergence and the possible outcomes of the process.  Furthermore, we apply our results to fuzzy linguistic  quantifiers, i.e., expressions like “most” or “at least a  few”.},
      url = {http://ageconsearch.umn.edu/record/151381},
      doi = {https://doi.org/10.22004/ag.econ.151381},
}