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SUMMARY:Marco Morandotti (Politecnico di Torino)
DTSTART:20240219T144000Z
DTEND:20240219T161000Z
DTSTAMP:20260405T174633Z
UID:NSCM/129
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/129/">F
 rom game theory to the control of multi-agent systems</a>\nby Marco Morand
 otti (Politecnico di Torino) as part of Nečas Seminar on Continuum Mechan
 ics\n\nLecture held in Room K3\,  Faculty of Mathematics and Physics\, Cha
 rles University\, Sokolovská 83  Prague 8..\n\nAbstract\nMotivated by the
  analysis of evolutive systems of agents with strategies\, we enrich the s
 tructure of the celebrated replicator equation to include more realistic s
 cenarios suitable for game-theoretic applications. In this context\, non-l
 inear continuity equations arise to describe the evolution of the mean-fie
 ld limit of such systems. Starting from simple cases\, we discuss more sop
 histicated models\, which include the interplay between the evolution of t
 he position of the players and the evolution of their strategies\; the add
 ition of a control factor that models the presence of a policy maker in mu
 lti-population dynamics\, together with the rise and fall of leadership\; 
 the effects of an entropic regularisation in the system\, as well as that 
 of fluctuations.\n\nWe present the derivation of these equations\, togethe
 r with some well-posedness results.\n
LOCATION:https://researchseminars.org/talk/NSCM/129/
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