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Solving Imperfect-Information Games via Discounted Regret Minimization

AAAI 2019 · Bandits and online learning › Online convex optimization and games · approach: Counterfactual regret minimization

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DCFR(3/2, 0, 2) instead of CFR+CFR · HUNL subgames 1–4exploitabilityHelped
Use DCFR(3/2, 0, 2) instead of CFR+CFR · 5-card GoofspielexploitabilityNo clear effect
Discount earlier iterations’ regrets linearlyCFR · HUNL subgames 1 and 3exploitabilityHelped
Discount earlier iterations’ regrets linearlyCFR · 5-card GoofspielexploitabilityHurt
Set β = 1/2 rather than β = 0, allowing negative regrets to keep decreasing (ablation)DCFR(3/2, 0, 2) · HUNL subgamesexploitabilityNo clear effect
Set β = 1/2 rather than β = 0, allowing negative regrets to keep decreasing (ablation)DCFR(3/2, 0, 2) · 5-card GoofspielexploitabilityHurt
Set negative regrets to zero rather than discounting them by 1/2 (ablation)DCFR(3/2, 0, 2) · HUNL subgamesexploitabilityMixed
Combine linear regret weighting with CFR+’s floor at zero (ablation)LCFR · Games testedexploitabilityHurt
Replace regret matching with NormalHedge (ablation)DCFR(3/2, 0, 2) · HUNL subgamesexploitabilityMixed
Replace regret matching with NormalHedge (ablation)LCFR · HUNL subgamesexploitabilityHurt
Use NormalHedge instead of regret matching (ablation)CFR variants · HUNL subgamesiteration time: five times longerHurt
Count the latest iteration twice when computing the next strategy (ablation)DCFR(3/2, 0, 2) · HUNL subgamesexploitabilityHurt

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