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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The alpha-Potential Game Paradigm: Theory\, Algori
 thms\, and Applications - Xinyu Li (University of 
 Oxford)
DTSTART;TZID=Europe/London:20251110T144000
DTEND;TZID=Europe/London:20251110T152000
UID:TALK238432AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/238432
DESCRIPTION:Designing and analyzing non-cooperative multi-agen
 t systems that interact within shared dynamic envi
 ronments is a central challenge across many establ
 ished and emerging applications\, including autono
 mous driving\, smart grid management\, and e-comme
 rce. A key objective in these systems is to identi
 fy Nash equilibria\, where no agent can benefit by
  unilaterally deviating from its strategy. However
 \, computing such equilibria is generally intracta
 ble unless specific structural properties of thein
 teractions can be leveraged.Recently\, we have dev
 eloped a new paradigm known as the alpha-potential
  game framework for studying dynamic games. This t
 alk illustrates the framework through a class of d
 ynamic games motivated by game-theoretic models of
  crowd motion. We show that analyzing alpha-Nash e
 quilibria reduces to solving a finite-dimensional 
 control problem. Beyond providing viscosity and ve
 rification characterizations for general games\, w
 e examine in detail how spatial population distrib
 utions and interaction rules shape the structure o
 f alpha-Nash equilibria\, in particular for crowd 
 motion games.\nTheoretical insights are complement
 ed by numerical experiments based on policy gradie
 nt algorithms\, which highlight the computational 
 advantages of the alpha-potential game framework f
 or efficiently computing Nash equilibria in dynami
 c multi-agent environments.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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