Abstract
For optimal stopping problems in which the player is allowed to choose the order of the random variables as well as the stopping rule, a notion of order equivalence is introduced. It is shown that different (non-degenerate) distributions cannot be order-equivalent. This result unifies and generalizes two theorems of a similar nature recently obtained by Hill and Hordijk (1985).
| Original language | English |
|---|---|
| Pages (from-to) | 773-778 |
| Number of pages | 6 |
| Journal | Journal of Applied Probability |
| Volume | 24 |
| Issue number | 3 |
| State | Published - 1987 |