Reviews: The Limit Points of (Optimistic) Gradient Descent in Min-Max Optimization

The main contribution of the paper can be summarized in two results (stated in the inclusion following line 83): - local saddles are stable for GDA (under Assumption 8.1) - stable equilibria of GDA are also stable for OGDA. Quality: The results are interesting, and the paper is well written. There are some typos in the proofs, but I believe these are omissions that can be corrected, rather than major flaws. Significance: I would love to see further discussion of the consequences of this result, and its relevance to the NIPS community, both theoreticians and practitioners. For example, do these results suggest that GDA should be preferred to OGDA (since the latter has a larger equilibrium set)?