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New research shows Howard's policy iteration is not strongly polynomial for MDPs

A new paper published on arXiv demonstrates that Howard's policy iteration algorithm can exhibit exponential iteration lower bounds for deterministic Markov decision processes, even with a limited number of actions. This finding establishes that the algorithm is not strongly polynomial when the discount factor is part of the input. The research highlights a significant gap between decentralized, selfish improvements and coordinated action selection, illustrating a "price" of algorithmic anarchy. AI

IMPACT Highlights theoretical limitations in decision-making algorithms, potentially impacting future research in reinforcement learning.

RANK_REASON Academic paper published on arXiv detailing theoretical limitations of an algorithm. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research shows Howard's policy iteration is not strongly polynomial for MDPs

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Academic paper published on arXiv detailing theoretical limitations of an algorithm. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Han Zhong, Yinyu Ye ·

    Policy Iteration Is Not Strongly Polynomial for Deterministic Markov Decision Processes: The Price of Algorithmic Anarchy

    arXiv:2609.40147v1 Announce Type: new Abstract: We establish an exponential iteration lower bound in the number of states for Howard's policy iteration on deterministic discounted Markov decision processes, with at most two actions per state. This rules out strong polynomiality o…