Swarming behavior as Nash equilibrium

Creative Commons License

Ozgüler A. B., Yıldız A.

3rd IFAC Workshop on Distributed Estimation and Control in Networked Systems, NECSYS 2012, Santa Barbara, CA, Amerika Birleşik Devletleri, 14 - 15 Eylül 2012, cilt.45, ss.151-155 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 45
  • Doi Numarası: 10.3182/20120914-2-us-4030.00046
  • Basıldığı Şehir: Santa Barbara, CA
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Sayfa Sayıları: ss.151-155
  • Anahtar Kelimeler: Dynamic game, Foraging, Game theory, Nash equilibrium, Swarm, Swarming behavior
  • TED Üniversitesi Adresli: Hayır

Özet

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.