The Cable Guy Paradox

The cable guy is coming tomorrow between 8 a.m. and 4 p.m. Let’s bet on whether he turns up in the morning or the afternoon.

Both windows are four hours long, so as we sit here today, it seems rational to treat them as equally likely. But suppose you choose the morning. As the clock begins to tick, the morning window will gradually close, making the afternoon seem increasingly preferable. Though your present self regards the two eventualities as equally likely, it seems that your future self won’t. Should that affect your decision today?

(In my experience the guy never turns up at all, so perhaps that solves it.)

Hajek, Alan (2005), “The Cable Guy Paradox,” Analysis 65: 112-19.