Beyond equilibrium: A dynamical systems approach to learning in games

Related lectures (30)

Explores challenges in control, safety, and coordination for autonomous systems like autonomous cars, focusing on safe learning and Nash equilibria.

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

Explores robustness in GAN training, Gaussian algorithms, saddle points, and mixed Nash equilibrium.

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

Covers linear-quadratic stochastic differential games on directed chain networks and open-loop Nash equilibria.

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Covers game theory fundamentals, Nash equilibrium, and strategic interactions in multi-agent systems.

Discusses Stackelberg games and backward induction, illustrating game theory concepts through examples and applications in real-world scenarios.

Covers Markov games, their dynamics, equilibria, and applications in reinforcement learning.

Explores multistage games, focusing on extensive form and feedback strategies, including Nash equilibria and backward induction methods.

Covers zero-sum games, focusing on Nash equilibria, security strategies, and their applications in various scenarios.

Covers potential games, their properties, and the convergence of best-response dynamics to Nash equilibria.

Covers the basics of static games and introduces key game theory concepts, including the Prisoner's Dilemma and Nash Equilibrium.

Covers learning dynamics in finite action games and explores various types of equilibria, including correlated and coarse correlated equilibria.

Delves into real-world games, negotiation strategies, and optimal agreements beyond Nash equilibrium.

Provides guidance on project proposals in game theory, showcasing past examples and emphasizing problem formulation and mathematical modeling.

Covers dynamic games, focusing on their structure, applications, and the transition from tree to loop models.

Covers dynamic games, focusing on backward induction and finding Nash equilibria in two-player scenarios.

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