Infinite sequences of random (nearly independent) binary digits can be generated having (almost certainly) a remarkable property. Observation of any nonzero fraction such as sequence makes it possible to calculate the values of all the unobserved digits.

Firms often delegate important decisions to committees which are set up specifically for that purpose; for example selection committees. We analyze the equilibrium behavior of a game in which committee members (the players) interview candidates sequentially, either hiring or going on to the next...