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      • Department of Electrical and Electronics Engineering
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      Swarming behavior as Nash equilibrium

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      Author
      Özgüler, A. Bülent
      Yıldız, Aykut
      Date
      2012-09
      Source Title
      Proceedings of the 3rd IFAC Workshop on Distributed Estimation and Control in Networked Systems
      Print ISSN
      1474-6670
      Publisher
      Elsevier
      Volume
      45
      Issue
      26
      Pages
      151 - 155
      Language
      English
      Type
      Conference Paper
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      Abstract
      The question of whether swarms can form as a result of a non-cooperative game played by individuals is shown here to have an affirmative answer. A dynamic game played by N agents in one-dimensional motion is introduced and models, for instance, a foraging ant colony. Each agent controls its velocity to minimize its total work done in a finite time interval. The game is shown to have a Nash equilibrium that has all the features of a swarm behavior. © 2012 IFAC.
      Keywords
      Dynamic game
      Foraging
      Game theory
      Nash equilibrium
      Swarm
      Swarming behavior
      Permalink
      http://hdl.handle.net/11693/28111
      Published Version (Please cite this version)
      https://doi.org/10.3182/20120914-2-US-4030.00046
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      • Department of Electrical and Electronics Engineering 3524
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