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Equilibrium Finding in Normal-Form Games via Greedy Regret Minimization

AAAI 2022 · Bandits and online learning › Online convex optimization and games · approach: Fast no-regret dynamics in games · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · Sampled two-player zero-sum random gamesexploitability: almost an order of magnitudeHelped
Choose each iteration's weight at runtime to minimize the regret potentialInternal regret minimization · Sampled seven-player general-sum random gamesinternal regret: several orders of magnitude fasterHelped
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · Random general-sum gamescorrelated-equilibrium convergence: dramatically improves convergenceHelped
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · Diplomacy first-turn subgamescoarse-correlated-equilibrium convergence: several orders of magnitudeHelped
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · Diplomacy first-turn subgamescorrelated-equilibrium convergenceHelped
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · France vs. AustriaNash-equilibrium convergence: 2-3x fewer iterationsHelped
Choose each iteration's weight at runtime to minimize the regret potentialRegret minimization · France vs. AustriaNash-equilibrium convergence: 2-3x fasterHelped
Use greedy weights instead of vanilla weightingRegret matching · Random 7-player, 10-action general-sum gamesaverage social welfare: 3.50 -> 4.16Helped
Use a relatively low weight floor rather than a high floor (ablation)Greedy weights in general-sum games · Random general-sum gamesregret convergenceHelped
Add a weight floor of 50% to 100% of the average iteration weight (ablation)Greedy weights with external regret minimization · Two-player zero-sum gamesminimax-equilibrium convergence: 50% to 100%Helped
Use a low weight floor rather than a high floor (ablation)Greedy weights with internal regret minimization · Two-player zero-sum gamesregret convergenceHelped
Consider a small set of candidate weights instead of computing the exact optimal weight (ablation)Greedy weights · Random seven-player general-sum gamesregret convergence: several orders of magnitudeHelped

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