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Repeated Policy Regret (RP-Regret)
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repeated-policy-regret-rp-regret--84d8c350·1 events·first seen 12d agoAliases: Repeated Policy Regret (RP-Regret)
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Regret Minimization with Adaptive Opponents in Repeated GamesKL-regularized RLGeneral Preference Reinforcement LearningDivergence Regularized Policy Optimizationon-policy self-distillationR-Drop consistency regularizationEntropy-Regularized Reinforcement LearningGRPO (Group Relative Policy Optimization)Hindsight Experience ReplayOn-Policy Distillation (OPD)Proximal Policy OptimizationEvolved Policy Gradients
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Repeated Policy Regret (RP-Regret): Regret minimization against adaptive opponents in repeated games
This arXiv paper introduces Repeated Policy Regret (RP-Regret), a new game-theoretic metric for regret minimization in repeated games where opponents can adapt based on play history — a setting where standard external regret fails. The authors prove necessary conditions for sublinear RP-Regret and propose three algorithms to minimize it, including oracle-based, linearized surrogate, and slow-opponent variants. When all players minimize RP-Regret, certain subgame perfect equilibria can be learned, and experiments show more cooperative outcomes in games like Stag-Hunt.