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cs.GT2023
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…
cs.GT2020
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…
cs.GT2020
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…