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math.OC2024
Generalized Nash equilibrium problems with quasi-linear constraints
Jiyoung Choi, Jiawang Nie, Xindong Tang +1
We study generalized Nash equilibrium problems (GNEPs) such that objectives are polynomial functions, and each player's constraints are linear in their own strategy. For such GNEPs…
math.OC2024
Positivstellensätze and Moment problems with Universal Quantifiers
Xiaomeng Hu, Igor Klep, Jiawang Nie
This paper studies Positivstellensätze and moment problems for sets that are given by universal quantifiers. Let be a closed set and let be a tuple of p…