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About this paper

Xiangcheng Zhang, Yige Hong, Weina Wang

The authors develop an ID policy for heterogeneous weakly coupled MDPs with shared per-step budgets. It derives individualized actions from a linear program relaxation, then executes them in reassigned priority order until a budget would be exceeded. The long-run average reward gap per arm is O(1/√N), assuming known models, fixed budget structure, and uniformly bounded mixing under aperiodic-unichain ideal policies.

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