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Four-Person Envy-Free Chore Division

Four-Person Envy-Free Chore Division 2025

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The document discusses the problem of envy-free chore division among four players, presenting a bounded procedure that ensures each player receives what they perceive as the smallest piece of chores. It builds on previous work in cake-cutting algorithms and introduces concepts such as moving knives and irrevocable advantage. The authors propose a systematic approach for dividing chores into equal parts while maintaining fairness, highlighting the challenges and advancements in developing algorithms for both chore and cake division.

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