arXiv AI By Song-Ju Kim

Contextual Probability and Operational Minimality in Tug-of-War Decision Making

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The paper investigates how minimal decision-making relates to contextual probability using the Tug-of-War (TOW) principle for multi‑armed bandit problems. By fixing reward‑learning and information requirements, the authors show that minimizing relaxation of common event semantics can produce nonclassical probability, deriving the exact minimum semantic repair and conditions for selecting contextual statistics. They further develop a quantum Tug‑of‑War (QTOW) instrument that improves stationary decision performance, surpasses the KCBS noncontextuality bound, and provides a diagnostic for a corrected contextuality witness.

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