A Model of Symmetry Breaking in Collective Decision-Making

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2010
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Meyer, Bernd
Schmickl, Thomas
Crailsheim, Karl
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DONCIEUX, Stephane, ed., Benoit GIRARD, ed., Agnes GUILLOT, ed., John HALLAM, ed., Jean-Arcady MEYER, ed., Jean-Baptiste MOURET, ed.. From Animals to Animats 11 : 11th International Conference on Simulation of Adaptive Behavior, SAB 2010, Paris - Clos Lucé, France, August 25-28, 2010, Proceedings. Berlin: Springer, 2010, pp. 639-648. Lecture Notes in Artificial Intelligence. 6226. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-642-15192-7. Available under: doi: 10.1007/978-3-642-15193-4_60
Zusammenfassung

Symmetry breaking is commonly found in self-organized collective decision making. It serves an important functional role, specifically in biological and bio-inspired systems. The analysis of symmetry breaking is thus an important key to understanding self-organized decision making. However, in many systems of practical importance available analytic methods cannot be applied due to the complexity of the scenario and consequentially the model. This applies specifically to self-organization in bio-inspired engineering. We propose a new modeling approach which allows us to formally analyze important properties of such processes. The core idea of our approach is to infer a compact model based on stochastic processes for a one-dimensional symmetry parameter. This enables us to analyze the fundamental properties of even complex collective decision making processes via Fokker–Planck theory. We are able to quantitatively address the effectiveness of symmetry breaking, the stability, the time taken to reach a consensus, and other parameters. This is demonstrated with two examples from swarm robotics.

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SAB 2010 : 11th International Conference on Simulation of Adaptive Behavior, 25. Aug. 2010 - 28. Aug. 2010, Paris - Clos Lucé, France
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ISO 690HAMANN, Heiko, Bernd MEYER, Thomas SCHMICKL, Karl CRAILSHEIM, 2010. A Model of Symmetry Breaking in Collective Decision-Making. SAB 2010 : 11th International Conference on Simulation of Adaptive Behavior. Paris - Clos Lucé, France, 25. Aug. 2010 - 28. Aug. 2010. In: DONCIEUX, Stephane, ed., Benoit GIRARD, ed., Agnes GUILLOT, ed., John HALLAM, ed., Jean-Arcady MEYER, ed., Jean-Baptiste MOURET, ed.. From Animals to Animats 11 : 11th International Conference on Simulation of Adaptive Behavior, SAB 2010, Paris - Clos Lucé, France, August 25-28, 2010, Proceedings. Berlin: Springer, 2010, pp. 639-648. Lecture Notes in Artificial Intelligence. 6226. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-642-15192-7. Available under: doi: 10.1007/978-3-642-15193-4_60
BibTex
@inproceedings{Hamann2010Model-66269,
  year={2010},
  doi={10.1007/978-3-642-15193-4_60},
  title={A Model of Symmetry Breaking in Collective Decision-Making},
  number={6226},
  isbn={978-3-642-15192-7},
  issn={0302-9743},
  publisher={Springer},
  address={Berlin},
  series={Lecture Notes in Artificial Intelligence},
  booktitle={From Animals to Animats 11 : 11th International Conference on Simulation of Adaptive Behavior, SAB 2010, Paris - Clos Lucé, France, August 25-28, 2010, Proceedings},
  pages={639--648},
  editor={Doncieux, Stephane and Girard, Benoit and Guillot, Agnes and Hallam, John and Meyer, Jean-Arcady and Mouret, Jean-Baptiste},
  author={Hamann, Heiko and Meyer, Bernd and Schmickl, Thomas and Crailsheim, Karl}
}
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