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Research map / Learning theory and algorithms / Submodular and game algorithms

Safe Search for Stackelberg Equilibria in Extensive-Form Games

AAAI 2021 · Learning theory and algorithms › Submodular and game algorithms · approach: Correlated equilibria in sequential games · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply safe subgame search instead of the blueprintStackelberg solving for two-stage games · Two-stage games with large subgames (M=m=100)leader payoff: 1.1730 -> 1.6696Helped
Use full-game solving rather than safe searchStackelberg solving for two-stage games · Two-stage games with large subgames (M=m=100)leader payoff: 1.6696 -> 1.3125Hurt
Apply safe search rather than the blueprintStackelberg solving for Goofspiel · Goofspiel (n=5, m=4)leader utility: 5.03 -> 5.29Helped
Apply safe search rather than the blueprintStackelberg solving for Leduc Hold'em · Leduc Hold'em (n=8 cards)leader payoff: -0.1670 -> -0.1609Helped
Use full-game solving rather than safe searchStackelberg solving for Leduc Hold'em · Leduc Hold'em (n=4 cards)leader payoff: -0.1862 -> -0.1882Hurt
Set bound-splitting α to different tested values (ablation)Safe search · Goofspiel (n=5, m=4)leader payoff: 5.32, 5.34, 5.29, 5.31, 5.30No clear effect
Lower bound-splitting α (ablation)Safe search · Leduc Hold'em (n=4 cards)leader payoff: -0.184 -> -0.189Helped
Increase slack multiplier β from 1 to 4 (ablation)Safe search · Goofspiel (n=5, m=4)leader payoff: 5.29 -> 5.55Helped
Increase slack multiplier β from 4 to 16 (ablation)Safe search · Goofspiel (n=5, m=4)leader payoff: 5.55 -> 5.50Hurt
Increase slack multiplier β from 4 to 8 (ablation)Safe search · Leduc Hold'em (n=4 cards)leader payoff: -0.178 -> -0.212Hurt

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