Short Answer

Relationship Between Consecutive Sets in Sequential Ranking

In a sequential ranking process over a set of N items, consider the set of available items at step k, denoted as Y˚k\mathring{Y}_{\ge k}, and the set of available items at the next step, k+1, denoted as Y˚k+1\mathring{Y}_{\ge k+1}. Describe the precise mathematical relationship between these two sets. Use yjk\mathbf{y}_{j_k} to represent the item chosen at step k.

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Updated 2025-10-03

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