Monday, March 28, 2005

Foul Strategy? 

Law Professor, Steven Lubett, of Northwestern University has posed the following question (via Alex Kozinsky) about optimal strategies for committing fouls near the end of basketball game:

With about 12 seconds to play in the first overtime of the regional final, Michigan State made two free throws to take a 3 point lead. Kentucky in-bounded the ball under its own basket.

Why didn't Michigan State commit a foul in the backcourt? That would give Kentucky two free throws and no opportunity to attempt a 3 point shot. Even if they make both, the ball returns to State with a one point lead and a chance to run out the clock, which by then would be down to about 8 seconds. Instead, Kentucky made a last-gasp 3-pointer and sent the game into another overtime. Then the same thing happened in the second overtime. About 14 seconds to play and State with a 4 point lead. They let Kentucky make an uncontested layup -- and the announcers kept saying "State won't foul." Of course they wouldn't foul on the shot, but again, why not foul in the backcourt?

Stated more generally: teams that are behind usually foul to get the ball back. Why don't teams that are ahead (by 3 or more points) do the same? The strategy of fouling while ahead seems to have obvious advantages in the waning seconds of a close game, but I don't think I've ever seen it done. Does this tell us something generally about strategic innovation? or am I just missing something?

I must admit, I wondered the same thing when I saw the highlights.