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Séminaire sur les jeux dynamiques et les applications

Open-Loop Nash Equilibrium in Games With Time-Varying Delays


23 mars 2023   11h00 — 12h00

Dominika Machowska Institute of Applied Mathematics and Mechanics, Université de Varsovie, Pologne

Dominika Machowska

Présentation sur YouTube.

We consider a game with non-linear time-varying delays in states and in strategies for which we formulate a new sufficient optimality conditions of dual programming type for the existence of the open-loop Nash equilibria. Moreover, we propose an algorithm to construct open-loop Nash equilibria which are verified by the proven theorem. The proposed result we apply to model of active vehicle suspensions in which time-varying delay is well documented. Illustrative simulations show how the differential game tool can be useful in construction of safer and more comfortable cars and how Nash equilibria should be adjusted to include time-varying delays in information transmission. (with Andrzej Nowakowski)

Georges Zaccour responsable
Ke Jiang responsable
Fatemeh Zand responsable


Montréal Québec

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