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1
Introduction
2
Differential game
3
TimeVarying Delays
4
Differential Equations
5
Delays
6
System Dynamics
7
Verification Theorem
8
Relationship Between Primary and Dual
9
OpenLoop Profile
10
Game Theory
11
Why Game Theory
12
Application
13
Results
14
Discussion
15
Nash Equilibrium
16
Optimal Tire Deflection
17
In admissible strategies
18
Mesh equilibrium
Description:
Explore a 41-minute Dynamic Games and Applications Seminar on open-loop Nash equilibrium in games with time-varying delays. Delve into the formulation of new sufficient optimality conditions for the existence of open-loop Nash equilibria in games with non-linear time-varying delays in states and strategies. Learn about an algorithm for constructing open-loop Nash equilibria verified by a proven theorem. Discover the application of this approach to active vehicle suspension models, where time-varying delays are well-documented. Gain insights into how differential game tools can contribute to the development of safer and more comfortable cars, and understand the necessary adjustments to Nash equilibria when accounting for time-varying delays in information transmission. The seminar covers topics such as differential games, time-varying delays, differential equations, system dynamics, verification theorems, game theory applications, and optimal tire deflection.

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

GERAD Research Center
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