Secretary Problem with quality-based payoff
  We consider a variant of the classical Secretary Problem. In this setting, the candidates are ranked according to some exchangeable random variable and the quest is to maximize the expected quality of the chosen aspirant. We find an upper bound for the optimal hiring rule, present examples showing it is sharp, and recover the classical case, among other results. 
Pablo Blanc, Juan Pablo Borthagaray, Daniel Kohen, Mart\'in Mereb
math.PR math.CO