Optimality and Stability in Non-convex Smooth Games

27 Feb 2020 Guojun Zhang Pascal Poupart Yao-Liang Yu

Motivated by the recent wide applications of non-convex smooth games, we provide a unified approach to "local optimal" points in such games, which includes local Nash equilibria, local minimax points (Jin et al. 2019) and the more general local robust points. To understand these definitions further, we study their corresponding first- and second-order necessary and sufficient conditions and find that they all satisfy stationarity... (read more)

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