4 papers
Strategically Robust Linear Quadratic Dynamic Games
Boris Velasevic, Nicolas Lanzetti, Eric Mazumdar
We study linear quadratic dynamic games where players are uncertain about each other's control policies or goals and consequently seek to be strategically robust. Building on recen…
Monotone Multispecies Flows
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We present a novel notion of -monotonicity for an -species system of partial differential equations governed by mass-preserving flow dynamics, extending monotonicity in Bana…
Computing Optimal Transport Plans via Min-Max Gradient Flows
Lauren Conger, Franca Hoffmann, Ricardo Baptista +1
We pose the Kantorovich optimal transport problem as a min-max problem with a Nash equilibrium that can be obtained dynamically via a two-player game, providing a framework for app…
Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
Lauren Conger, Franca Hoffmann, Eric Mazumdar +1
We propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in w…