78 citations · 133 across the 18 of their papers we have counts for
22 papers
Consistent Conjectural Variations Equilibrium: Characterization & Stability for a Class of Continuous Games
Daniel J. Calderone, Benjamin J. Chasnov, Samuel A. Burden +1
Leveraging tools from the study of linear fractional transformations and algebraic Riccati equations, a local characterization of consistent conjectural variations equilibrium is g…
Human adaptation to adaptive machines converges to game-theoretic equilibria
Benjamin J. Chasnov, Lillian J. Ratliff, Samuel A. Burden
Adaptive machines have the potential to assist or interfere with human behavior in a range of contexts, from cognitive decision-making to physical device assistance. Therefore it i…
A pasting lemma for Lipschitz functions
Matthew D. Kvalheim, Paul Gustafson, Samuel A. Burden
We give a necessary and sufficient condition ensuring that any function which is separately Lipschitz on two fixed compact sets is Lipschitz on their union.
Representing and computing the B-derivative of an vector field's flow
George Council, Shai Revzen, Samuel A. Burden
This paper concerns the first-order approximation of the piecewise-differentiable flow generated by a class of nonsmooth vector fields. Specifically, we represent and compute the B…
Stability of Gradient Learning Dynamics in Continuous Games: Scalar Action Spaces
Benjamin J. Chasnov, Daniel Calderone, Behçet Açıkmeşe +2
Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player…
Stability of Gradient Learning Dynamics in Continuous Games: Vector Action Spaces
Benjamin J. Chasnov, Daniel Calderone, Behçet Açıkmeşe +2
Towards characterizing the optimization landscape of games, this paper analyzes the stability of gradient-based dynamics near fixed points of two-player continuous games. We introd…