If viewers prefer to watch the news as soon as they get home from work, how should competing television stations schedule their broadcasts to maximize their own numbers of viewers. This is a Hotelling location problem with a directional constraint. Viewers can watch after they get home, but not before. We show that for this model, there exists no pure strategy Nash equilibrium.

If viewers prefer to watch television as soon as they get home from work, how should competing television stations schedule their news programs so as to maximize the number of viewers? This is a Hotelling locational problem with a directional constraint. Viewers can watch the news after, but not before, they get home from work. We show that in this situation there does not exist a pure strategy Nash equilibrium.