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UID:20260621T032822EDT-6903NvGIFw@132.216.98.100
DTSTAMP:20260621T072822Z
DESCRIPTION:'Meet a GERAD researcher!' seminar\n\nSpeaker: Utsav Sadana – D
 esautels Faculty of Management\, ɬÀï·¬\, Canada\n\n\n\nAbstrac
 t: We study a class of deterministic finite-horizon two-player nonzero-sum
  differential games where players are endowed with different controls. We 
 assume that Player 1 uses piecewise-continuous controls\, while Player 2 u
 ses impulse controls. For this class of games\, we seek to derive conditio
 ns for the existence of feedback Nash equilibrium strategies for the playe
 rs. More specifically\, we provide a verification theorem for identifying 
 such equilibrium strategies\, using the Hamilton-Jacobi-Bellman (HJB) equa
 tions for Player 1 and the quasi-variational inequalities (QVIs) for Playe
 r 2. Further\, we show that the equilibrium number of interventions by Pla
 yer 2 is upper bounded. Furthermore\, we specialize the obtained results t
 o a scalar two-player linear-quadratic differential game. In this game\, P
 layer 1's objective is to drive the state variable towards a specific targ
 et value\, and Player 2 has a similar objective with a different target va
 lue. We provide\, for the first time\, an analytical characterization of t
 he feedback Nash equilibrium in a linear-quadratic differential game with 
 impulse control. We illustrate our results using numerical experiments.\n
 \n(joint work with Puduru Viswanadha Reddy and Georges Zaccour)\n
DTSTART:20230125T160000Z
DTEND:20230125T170000Z
LOCATION:CA\, ZOOM
SUMMARY:Nash Equilibria in Two-Player Differential Games with Impulse Contr
 ol 
URL:/cim/channels/event/nash-equilibria-two-player-dif
 ferential-games-impulse-control-351778
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