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Last-iterate Convergence in Extensive-Form Games

NeurIPS 2021 · Bandits and online learning › Online convex optimization and games · approach: Fast no-regret dynamics in games · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use optimistic mirror descent with a strongly convex, continuously differentiable regularizerZero-sum EFGs with perfect recall · Zero-sum EFGs with perfect recalllast-iterate convergenceHelped
Use the vanilla squared Euclidean regularizer in optimistic mirror descentVOGDA · Zero-sum EFGs with perfect recalllast-iterate convergence rate: dist^2(z_t, Z*) ≤ 64 dist^2(z'_1, Z*)(1+C_1)^(-t)Helped
Use the vanilla entropy regularizer in optimistic mirror descentVOMWU · Zero-sum EFGs with perfect recall and a unique Nash equilibriumlast-iterate convergence rate: C_2/tHelped
Use the dilated entropy regularizer in optimistic mirror descentDOMWU · Zero-sum EFGs with perfect recall and a unique Nash equilibriumlast-iterate convergence rate: C_3(1+C_4)^(-t)Helped
Use optimistic global regret minimization instead of CFR+Kuhn poker · Kuhn pokerduality gapHelped
Use optimistic global regret minimization instead of CFR+Pursuit-evasion · Pursuit-evasionduality gapHelped
Change CFR+ from simultaneous updates to alternating updatesCFR+ with regret matching+ · Leduc pokerduality gapHelped
Use CFR with the initialization described in the theoremCFR · Rock-paper-scissorslast-iterate convergenceHurt
Use simultaneous updates for CFR, CFR+, or their optimistic versionsCFR-based algorithms · Rock-paper-scissorslast-iterate convergenceHurt

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