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- W2069756543 abstract "Consider a situation where a known number, n , of objects appear sequentially in a random order. At each stage, the present object is presented to d ≥ 2 different selectors, who must jointly decide whether to select or reject it, irrevocably. Exactly one object must be chosen. The observation at stage j is a d -dimensional vector R ( j ) = ( R 1 ( j ),…, R d ( j )), where R i ( j ) is the relative rank of the j th object, by the criterion of the i th selector. The decision whether to stop or not at time j is based on the d -dimensional random vectors R (1),…, R ( j ). The criteria according to which each selector ranks the objects can either be dependent or independent. Although the goal of each selector is to maximize the probability of choosing the best object from his/her point of view, all d selectors must cooperate and chose the same object. The objective studied here is the maximization of the minimum over the d individual probabilities of choosing the best object . We exhibit the structure of the optimal rule. For independent criteria we give a full description of the rule and show that the optimal value tends to d - d /( d -1) , as n → ∞. Furthermore, we show that as n → ∞, the liminf of the values under negatively associated criteria is bounded below by d - d /( d -1) ." @default.
- W2069756543 created "2016-06-24" @default.
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- W2069756543 date "2000-09-01" @default.
- W2069756543 modified "2023-09-25" @default.
- W2069756543 title "A best-choice problem with multiple selectors" @default.
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- W2069756543 doi "https://doi.org/10.1239/jap/1014842831" @default.
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