Suppose there is an auction for a unique good, say an original piece of artwork. There are many potential buyers, including buyer X. Each buyer has a unique reserve price, or willingness to pay. If X's reserve price is the highest, then X wins the auction. If X's reserve is not the highest, then X loses the auction.
Whether X wins or loses the auction depends on the maximum willingness to pay of all other buyers. Is there a standard name for this quantity in economics?