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DTSTAMP:20250726T014213Z
DESCRIPTION:Virtual Informal Systems Seminar (VISS) Centre for Intelligent 
 Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decision
 s (GERAD)\n\nUtsav Sadana\n\nAbstract:\n	\n	We introduce a class of determin
 istic finite-horizon two-player nonzero-sum differential games where Playe
 r 1 uses continuous controls while Player 2 uses impulse controls. We form
 ulate the necessary and sufficient conditions for the existence of an open
 -loop Nash equilibrium in this class of differential games.  We specialize
  these results to linear-quadratic games\, and show that the open-loop Nas
 h equilibrium strategies can be computed by solving a constrained non-line
 ar optimization problem. For a specialized canonical linear-state differen
 tial game\, we obtain analytical solutions for equilibrium number\, timing
  and level of impulses. In particular\, we show that there can be at most 
 one interior impulse in the open-loop Nash equilibrium and the level of im
 pulse depends only on the problem parameters. When the timing of impulse i
 s exogenously given\, we recover the classical result that the open-loop N
 ash equilibrium and feedback Nash equilibrium coincide for deterministic l
 inear-state differential games. When Player 2 decides the number and timin
 g of impulses besides the size of impulses\, we find the classical result 
 does not hold\, that is\, open-loop and feedback Nash equilibrium are diff
 erent.\n	\n	This is a joint work with Puduru Viswanadha Reddy and Georges Za
 ccour.\n	\n	Bio: ‪\n\nUtsav Sadana‬ is a final year PhD student in the Depar
 tment of Decision Sciences at HEC Montreal\, working under the supervision
  of Professor Georges Zaccour. He graduated from the Indian Institute of T
 echnology (IIT) Kanpur\, India\, with a Bachelor of Technology in Material
 s Science and Engineering and a Masters in Economics. From September 2019 
 - February 2020\, he was a visiting research scholar at the Coordinated Sc
 ience Laboratory of the University of Illinois at Urbana-Champaign where h
 e worked with Professor Tamer Basar.\n
DTSTART:20201023T150000Z
DTEND:20201023T160000Z
LOCATION:CA\, ZOOM
SUMMARY:Open-loop Nash Equilibria in Nonzero-sum Differential Games with Im
 pulse Controls
URL:/cim/channels/event/open-loop-nash-equilibria-nonz
 ero-sum-differential-games-impulse-controls-325753
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