Generalized Nash Equilibrium Problems of Polynomial


    Department of Systems Engineering and Engineering Management

                       The Chinese University of Hong Kong


Date: Friday, October 6, 2023, 4:30pm to 5:30pm HKT

Venue: ERB 513, The Chinese University of Hong Kong

Title: Generalized Nash Equilibrium Problems of Polynomial

Speaker: Dr. Xindong Tang, Department of Mathematics, Hong Kong Baptist University



We consider generalized Nash equilibrium problems (GNEPs) given by polynomial functions. Based on the Karush-Kuhn-Tucker optimality conditions, we formulate polynomial optimization problems for finding candidate solutions to GNEPs, using Lagrange multiplier expressions. Then, for nonconvex GNEPs, we introduce the feasible extensions to preclude KKT points that are not solutions to the GNEP. Following this sequel, we are able to find a GNE if there exists any, or detect the nonexistence of GNEs. We showed that our approach guarantees to solve the GNEP within finitely many steps under generic assumptions.



Xindong Tang is an Assistant Professor in the Department of Mathematics at Hong Kong Baptist University. Before joining HKBU, he worked at the Department of Applied Mathematics, PolyU, from September 2021 to August 2023. In July 2021, he earned a Ph.D. in Mathematics from University of California San Diego and a B.S. from Sichuan University in 2016. His research interests mainly focus on polynomial optimization, generalized Nash equilibrium problems, tensor computation, and their applications. 


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Friday, October 6, 2023 - 16:30