Consensus as a Nash equilibrium of a dynamic game

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dc.citation.epage372en_US
dc.citation.spage365en_US
dc.contributor.authorNiazi, Muhammad Umar B.en_US
dc.contributor.authorÖzgüler, Arif Bülenten_US
dc.contributor.authorYıldız, Aykuten_US
dc.coverage.spatialNaples, Italyen_US
dc.date.accessioned2018-04-12T11:45:20Z
dc.date.available2018-04-12T11:45:20Z
dc.date.issued2016en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 28 November-1 December 2016en_US
dc.descriptionConference Name: 12th International Conference on Signal-Image Technology & Internet-Based Systems, SITIS 2016en_US
dc.description.abstractConsensus formation in a social network is modeled by a dynamic game of a prescribed duration played by members of the network. Each member independently minimizes a cost function that represents his/her motive. An integral cost function penalizes a member's differences of opinion from the others as well as from his/her own initial opinion, weighted by influence and stubbornness parameters. Each member uses its rate of change of opinion as a control input. This defines a dynamic non-cooperative game that turns out to have a unique Nash equilibrium. Analytic explicit expressions are derived for the opinion trajectory of each member for two representative cases obtained by suitable assumptions on the graph topology of the network. These trajectories are then examined under different assumptions on the relative sizes of the influence and stubbornness parameters that appear in the cost functions.en_US
dc.description.provenanceMade available in DSpace on 2018-04-12T11:45:20Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2017en
dc.identifier.doi10.1109/SITIS.2016.65en_US
dc.identifier.urihttp://hdl.handle.net/11693/37606
dc.language.isoEnglishen_US
dc.publisherIEEEen_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/SITIS.2016.65en_US
dc.source.titleProceedings of the 12th International Conference on Signal-Image Technology & Internet-Based Systems, SITIS 2016en_US
dc.subjectConsensusen_US
dc.subjectDynamic gamesen_US
dc.subjectGame theoryen_US
dc.subjectNash equilibriumen_US
dc.subjectOpinion dynamicsen_US
dc.subjectSocial networken_US
dc.subjectComputation theoryen_US
dc.subjectCost functionsen_US
dc.subjectCostsen_US
dc.subjectTopologyen_US
dc.subjectGraph topologyen_US
dc.subjectNoncooperative gameen_US
dc.subjectRepresentative caseen_US
dc.titleConsensus as a Nash equilibrium of a dynamic gameen_US
dc.typeConference Paperen_US

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