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math.OC2024
Iteratively Regularized Gradient Tracking Methods for Optimal Equilibrium Seeking
Yuyang Qiu, Farzad Yousefian, Brian Zhang
In noncooperative Nash games, equilibria are often inefficient. This is exemplified by the Prisoner's Dilemma and was first provably shown in the 1980s. Since then, understanding t…
math.OC2024
Zeroth-order Gradient and Quasi-Newton Methods for Nonsmooth Nonconvex Stochastic Optimization
Luke Marrinan, Uday V. Shanbhag, Farzad Yousefian
We consider the minimization of a Lipschitz continuous and expectation-valued function, denoted by and defined as $f(\mathbf{x}) \triangleq \mathbb{E}[\tilde{f}(\mathbf{x}, \ma…