Partially Informed Agents Can Form a Swarm in a Nash Equilibrium

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Yıldız A., Ozguler A. B.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.60, no.11, pp.3089-3094, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 11
  • Publication Date: 2015
  • Doi Number: 10.1109/tac.2015.2411912
  • Journal Name: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3089-3094
  • Keywords: Artificial potentials, dynamic game theory, dynamic multi-agent systems, finite horizon, Nash equilibrium, social foraging, swarming behavior, SYSTEMS, COMPLEXITY, STABILITY
  • TED University Affiliated: No

Abstract

Foraging swarms in one-dimensional motion with incomplete position information are studied in the context of a noncooperative differential game. In this game, the swarming individuals act with partial information as it is assumed that each agent knows the positions of only the adjacent ones. It is shown that a Nash equilibrium solution that exhibits many features of a foraging swarm such as movement coordination, self-organization, stability, and formation control exists.