AI·Jul 7, 2026, 4:00 AM

Probably Correct Optimal Stable Matching under Two-Sided Uncertainty

Source: arXiv cs.LG

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Probably Correct Optimal Stable Matching under Two-Sided Uncertainty

arXiv:2607.04824v1 Announce Type: new Abstract: We study a sequential learning problem for stable matchings in two-sided markets where preferences on both sides are initially unknown. We focus on a centralized setting where an algorithm matches agents at each time step and receives noisy rewards that reflect the preferences of the matched agents, following a semi-bandit feedback structure. We adopt a pure exploration perspective, aiming to efficiently identify the optimal stable matching with high probability. Our work extends prior results by handling \emph{two-sided uncertainty} and by explo

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