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SUMMARY:Ana Djurdjevac (University of Oxford)
DTSTART:20260202T121500Z
DTEND:20260202T130000Z
DTSTAMP:20260417T003625Z
UID:cam/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/90/">Mea
 n-field optimal control with stochastic leaders</a>\nby Ana Djurdjevac (Un
 iversity of Oxford) as part of CAM seminar\n\nLecture held in MV:L14.\n\nA
 bstract\nWe study optimal control problems for interacting agent systems a
 rysing in opinion dynamics\, where a large number of agents is influenced 
 by a fixed number of stochastic leaders. We consider a partial mean-field 
 limit\, leading to a McKean–Vlasov equation for the followers coupled to
  controlled stochastic dynamics for the leaders.  We show that optimal con
 trols for the finite-agent system converge to the optimal control of the l
 imiting mean-field system\, providing a low-dimensional and computationall
 y efficient approximation of high-dimensional control problems. In additio
 n\, we propose efficient numerical methods for computing leader-based cont
 rols. We illustrate the theoretical results with numerical experiments for
  the Hegselmann–Krause opinion dynamics model. This is joint work with N
 . Conrad\, C. Hartmann\, C. Schütte and S. Zimper.\n
LOCATION:https://researchseminars.org/talk/cam/90/
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