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New analysis details decentralized learning for zero-sum games

Researchers have developed a finite-sample analysis for decentralized learning algorithms in two-player zero-sum stochastic games. The proposed methods, including a payoff-based algorithm for matrix games and a value iteration with smoothed best response (VI-SBR) for stochastic games, aim to find epsilon-Nash distributions and equilibria. The analysis establishes sample complexity guarantees, with the VI-SBR algorithm achieving a sample complexity of \tilde{\mathcal{O}}(\epsilon^{-8}) for finding an \epsilon-Nash equilibrium in stochastic games. The technical approach utilizes a coupled Lyapunov-drift framework to handle complex iterative algorithms and nonstationary sampling processes. AI

IMPACT Provides theoretical advancements in decentralized learning algorithms applicable to multi-agent systems and game theory.

RANK_REASON The cluster contains an academic paper detailing a new theoretical analysis of learning algorithms in game theory. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New analysis details decentralized learning for zero-sum games

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Zaiwei Chen, Kaiqing Zhang, Eric Mazumdar, Asuman Ozdaglar, Adam Wierman ·

    Decentralized Best-Response-Based Learning in Two-Player Zero-Sum Stochastic Games: A Finite-Sample Analysis

    arXiv:2409.01447v3 Announce Type: replace Abstract: We present a finite-sample analysis of decentralized learning in two-player zero-sum matrix games and stochastic games, with a focus on best-response-based learning algorithms. In matrix games, the learning algorithm is payoff-b…