Browsing by Subject "Differential game"

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    Opinion dynamics of stubborn agents under the presence of a troll as differential game
    (Scientific and Technical Research Council of Turkey - TUBITAK,Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2021-11-30) Yıldız, A.; Özgüler, Arif Bülent
    The question of whether opinions of stubborn agents result in Nash equilibrium under the presence of troll is investigated in this study. The opinion dynamics is modelled as a differential game played by n agents during a finite time horizon. Two types of agents, ordinary agents and troll, are considered in this game. Troll is treated as a malicious stubborn content maker who disagrees with every other agent. On the other hand, ordinary agents maintain cooperative communication with other ordinary agents and they disagree with the troll. Under this scenario, explicit expressions of opinion trajectories are obtained by applying Pontryagin’s principle on the cost function. This approach provides insight into the social networks that comprise a troll in addition to ordinary agents
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    Planar swarming motion under single leader as nash equilibrium
    (North Atlantic University Union, 2017) Yıldız, A.; Özgüler, A. B.
    Two 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.