Question: Suppose the Boss says to you and your n-1 coworkers, "Could one of you stay late tonight and help me file these TT'S reports? It's common knowledge that everyone's utility for getting out of this is drawn uniformly from the unit interval. You all decide to pick the unlucky volunteer with a Decision Auction -- the default mechanism on yootopia.org -- each entering "ybid staylate -X" where X is your claimed utility for getting home on time.
Knowing your own utility and assuming that all your coworkers actually bid their true utilities, how should you bid?