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

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.

Introduction
Differential game
TimeVarying Delays
Differential Equations
Delays
System Dynamics
Verification Theorem
Relationship Between Primary and Dual
OpenLoop Profile
Game Theory
Why Game Theory
Application
Results
Discussion
Nash Equilibrium
Optimal Tire Deflection
In admissible strategies
Mesh equilibrium