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Computing Ex Ante Coordinated Team-Maxmin Equilibria in Zero-Sum Multiplayer Extensive-Form Games

AAAI 2021 · Learning theory and algorithms › Submodular and game algorithms · approach: Zero-sum game learning dynamics · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use the CMB algorithm with hybrid-form strategies and ARTTMECor computation · Kuhn poker and Leduc Hold'em EFGsruntime: CMB runs several orders of magnitude faster than prior state-of-the-art algorithmsHelped
use CMB rather than CMBZ20TMECor computation · 5K11runtime: 2802s -> 35sHelped
use CMB rather than CMBZ20TMECor computation · 6K7runtime: 2009s -> 17sHelped
remove associated constraints (ablation)CMB · 3K4runtime: 0.7s -> 2.1sHurt
remove associated constraints (ablation)CMB · 3K6runtime: 2s -> 20sHurt
use continuous terminal-reaching variables without ART and BRO (ablation)CMB · 3K6runtime: 2s -> 191sHurt
replace hybrid-form strategies with joint pure normal-form strategies (ablation)CMB · 3K6runtime: 2s -> 2sNo clear effect
combine continuous terminal-reaching variables without ART and joint pure normal-form strategies (ablation)CMB · 3K6runtime: 2s -> 479sHurt
compute an approximate TMECor with CMB rather than FTPTMECor computation · 3K5, epsilon=0.01runtime: 87s vs 4882sHelped
use coordinated TMECor strategies instead of independent TME strategiesteam play · 3K8team utility: -0.066 -> -0.019Helped

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