In bilinear saddle-point games, adding a small penalty to only one player's payoff makes that player's equilibrium exact and gives gradient ascent-descent a linear last-iterate rate.
Multiplicative weights update in zero-sum games
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Asymmetric Perturbation in Solving Bilinear Saddle-Point Optimization
In bilinear saddle-point games, adding a small penalty to only one player's payoff makes that player's equilibrium exact and gives gradient ascent-descent a linear last-iterate rate.