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math.PR2026
The Test and Find Model
Michael Grabchak, Xingjie Li, Isaac M. Sonin
We introduce the Test and Find (TF) problem, where a decision maker (DM) faces the following situation: identical objects are randomly allocated to distinct boxes (sites) a…
cs.GT2026
The Game of Marginal Utilities
Isaac M. Sonin, Georgy Gaitsgori, Yaakov Malinovsky
We study a noncooperative resource-allocation game in which players distribute fixed resources among projects and the payoff of player is given by \[ F^j(x) = \sum_{i=1…