math.DS · 2026-07-27 · No. 66

Dynamical Systems, 2026-07-27.

1 new papers in math.DS. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Natural Invariant Measures for Chaotic Game Dynamics: Finding Order in Chaos

    Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski, Michał Misiurewicz, Georgios Piliouras

    math.DS · cs.LG · econ.TH

    We study the long-term behavior of the Multiplicative Weights Update (MWU) algorithm in game settings where learning dynamics frequently fail to converge to Nash equilibria and instead exhibit Li-Yorke chaos. While such chaos precludes the prediction of specific long-term strategy profiles, it does not imply a lack of statistical structure. We demonstrate that natural invariant measures - a fundamental concept from ergodic theory - provide...

    arxiv.org/abs/2607.21805 · PDF

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