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Learning in Games: Robustness of Fast Convergence

NeurIPS 2016 · Bandits and online learning › Online convex optimization and games · approach: Fast no-regret dynamics in games · 44 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use learners satisfying Low Approximate Regret with A(d,T)=O(log d)learning dynamics in smooth games · smooth games with realized feedbackconvergence rate to approximate price of anarchy: O(n/T)Helped
use realized feedback instead of expectation feedbackLow Approximate Regret learners · smooth gamesfeedback information requiredHelped
use bandit Low Approximate Regret learningsmooth games · bandit feedbackconvergence rate to approximate optimality: O(d log T/eps)Helped
use the proposed log-barrier bandit algorithm rather than adaptations of SCRiBLebandit learning in smooth games · bandit feedbackdependence on number of actions: O(d log T/eps); O(d^3 log T)Helped
use the proposed log-barrier bandit algorithm instead of GREENbandit learning in smooth games · utility maximization settingsapplicability: A(d,T)=d log(T/d); A(d,T)=d log(T)Helped
use Noisy Hedge with Low Approximate Regret for shifting expertsdynamic population games · dynamic population gamesmaximum tolerated turnover probability: p ≤ ε²γ/(κ log(dT)); p ≤ ε²γ²/(κ log(dT))Helped
use a stable sequence of near-optimal solutions and shifting-expert Low Approximate Regretlearning dynamics in dynamic population games · dynamic population gamesaverage social cost bound: λρ/(1−μ−ε)Helped

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