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Paper · arXiv

IR-PRM+ with Previous-Utility Prediction: Constant Regret and Best-Iterate Convergence

Regret matching (and its variants) and counterfactual regret minimization are central algorithms in practice for normal-form and extensive-form game solving. Yet these have historically lacked the stronger theoretical convergence guarantees available to optimistic and extra-gradient methods. Recent work introduced IREG-PRM+, a regret matching variant which does have strong theoretical convergence guarantees. However, it relies on a simultaneous, extra-gradient update. IREG-PRM+ is an instance of the more general IR-PRM framework, where empirically optimistic and alternating updates often have better performance. However, the prior extra-gradient analysis does not extend to these cases. We...

AuthorsMichael Sullins, Ian A. Kash
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LGcs.GT
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