arXiv Machine Learning By Tung Mai

Constant Swap Regret in General-Sum Games via Optimistic Transition Matrices

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arXiv:2609. 16751v1 Announce Type: cross Abstract: We give deterministic and uncoupled learning dynamics for finite multiplayer general-sum games under full-information feedback that achieve constant individual swap regret, independent of the horizon $T$.

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arXiv Machine Learning
Sep 4

Constant regret in general games via higher-order optimism

The paper presents an uncoupled learning algorithm, higher-order optimism with discounting (HOOD), for arbitrary N-player normal form games with up to K actions per player. HOOD achieves an individual regret bound of O(N³ log² K) uniformly over the play horizon by combining a discounted (N+1)-th order predictor with entropic regularization over a lifted strategy space. This design mitigates large oscillations in play, addressing a key challenge in prior attempts to attain constant regret in general games.

By Omar Abbadi, Rida Laraki, Panayotis Mertikopoulos