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20112026
most citedA Shared-Constraint Approach to Multi-leader Multi-follower Games

72 citations · 296 across the 47 of their papers we have counts for

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math.OC2025

A Stochastic LineseArch Method (SLAM) for Minimizing Expectation Residuals

Qi Wang, Uday V. Shanbhag, Yue Xie

Most existing rate and complexity guarantees for stochastic gradient methods in -smooth settings mandates that such sequences be non-adaptive, non-increasing, and upper bounded…

math.OC2025

On the Sampling-based Computation of Nash Equilibria under Uncertainty via the Nikaido-Isoda Function

Luke Marrinan, Farzad Yousefian, Uday V. Shanbhag

We consider the computation of an equilibrium of a stochastic Nash equilibrium problem, where the player objectives are assumed to be -Lipschitz continuous and convex given ri…

math.OC2025

Complexity guarantees for risk-neutral generalized Nash equilibrium problems

Haochen Tao, Andrea Iannelli, Meggie Marschner +3

In this paper, we address \ac{SGNEP} seeking with risk-neutral agents. Our main contribution lies the development of a stochastic variance-reduced gradient (SVRG) technique, modifi…

math.OC2025

On the Resolution of Stochastic MPECs over Networks: Distributed Implicit Zeroth-Order Gradient Tracking Methods

Mohammadjavad Ebrahimi, Uday V. Shanbhag, Farzad Yousefian

The mathematical program with equilibrium constraints (MPEC) is a powerful yet challenging class of constrained optimization problems, where the constraints are characterized by a…

math.OC2025

Computing Equilibria in Stochastic Nonconvex and Non-monotone Games via Gradient-Response Schemes

Zhuoyu Xiao, Uday V. Shanbhag

We consider a class of smooth -player noncooperative games, where players' objectives are expectation-valued and potentially nonconvex. In such a setting, we consider the largel…