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Optimistic Hedge algorithm shows exponential regret in 3+ player games

A new paper introduces the Optimistic Hedge algorithm for general-sum games, analyzing its regret bounds. Researchers found that in two-player games, Optimistic Hedge can achieve $O(n\log n)$ regret independent of the horizon. However, for three or more players, no such constant regret bound is possible, with regret potentially growing exponentially with the number of actions and linearly with the horizon. AI

IMPACT Theoretical findings on regret bounds in multi-player games could inform future AI agent design and multi-agent reinforcement learning strategies.

RANK_REASON Academic paper detailing theoretical limits of a game theory algorithm. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

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Optimistic Hedge algorithm shows exponential regret in 3+ player games

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Academic paper detailing theoretical limits of a game theory algorithm. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yuval Dagan, Nadav Eisen, Liad Erez, Tomer Koren ·

    Optimistic Hedge in General-Sum Games: Fundamental Limits and Regret Bounds via Temporal Approximation

    arXiv:2611.07078v1 Announce Type: new Abstract: Optimistic Hedge, a multiplicative weight update with one step of extrapolation, is one of the most natural regret-minimizing dynamics for games, and characterizing its regret has been a longstanding open question. Daskalakis, Fishe…