Learning to Reason Efficiently with Discounted Reinforcement Learning

Alex Ayoub, Kavosh Asadi, Dale Schuurmans, Csaba Szepesvári, Karim Bouyarmane
10/27/2025
cs.LG

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Abstract

Large reasoning models (LRMs) often consume excessive tokens, inflating computational cost and latency. We challenge the assumption that longer responses improve accuracy. By penalizing reasoning tokens using a discounted reinforcement learning setup (interpretable as a small token cost) and analyzing Blackwell optimality in restricted policy classes, we encourage concise yet accurate reasoning. Experiments confirm our theoretical results that this approach shortens chains of thought while preserving accuracy.

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Cite this paper

@article{ayoub2025learning,
  title  = {Learning to Reason Efficiently with Discounted Reinforcement Learning},
  author = {Alex Ayoub and Kavosh Asadi and Dale Schuurmans and Csaba Szepesvári and Karim Bouyarmane},
  year   = {2025},
  eprint = {2510.23486},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2510.23486v1}
}

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