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).
|Number of pages||6|
|Journal||Journal of Applied Probability|
|State||Published - 1987|