Planar swarming motion under single leader as nash equilibrium

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dc.citation.epage143en_US
dc.citation.spage139en_US
dc.citation.volumeNumber11en_US
dc.contributor.authorYıldız, A.en_US
dc.contributor.authorÖzgüler, A. B.en_US
dc.date.accessioned2019-02-12T07:18:56Z
dc.date.available2019-02-12T07:18:56Z
dc.date.issued2017en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractTwo dimensional foraging swarms are modeled as a dynamic noncooperative game played by swarm members, each one of which minimizes its total effort during the journey by controlling its velocity. It is assumed that each member monitors its distance only to the member that starts the journey up front, called the leader. The leader is only concerned with minimizing its total control effort. The foraging location is assumed to be known by all members. It is shown that a unique Nash equilibrium exists under certain assumptions on the nature of relative weighing between the motions along the two coordinates in the plane. The Nash equilibrium displays a number of observed characteristics of biological swarms; for instance, a V-shape formation is preserved during the whole journey.en_US
dc.description.provenanceSubmitted by Şelale Korkut (selale@bilkent.edu.tr) on 2019-02-12T07:18:56Z No. of bitstreams: 1 Planar_swarming_motionunder_single_leader_as_Nash_Equilibrium.pdf: 185568 bytes, checksum: 430d18d1ba5dbafb7367852f5df094bc (MD5)en
dc.description.provenanceMade available in DSpace on 2019-02-12T07:18:56Z (GMT). No. of bitstreams: 1 Planar_swarming_motionunder_single_leader_as_Nash_Equilibrium.pdf: 185568 bytes, checksum: 430d18d1ba5dbafb7367852f5df094bc (MD5) Previous issue date: 2017en
dc.identifier.issn1998-0140
dc.identifier.urihttp://hdl.handle.net/11693/49291
dc.language.isoEnglishen_US
dc.publisherNorth Atlantic University Unionen_US
dc.source.titleInternational Journal of Mathematical models and Methods in Applied Sciencesen_US
dc.subjectDifferential gameen_US
dc.subjectDynamic multi-agent systemen_US
dc.subjectNash equilibriumen_US
dc.subjectRendezvous problemen_US
dc.titlePlanar swarming motion under single leader as nash equilibriumen_US
dc.typeArticleen_US

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