The shortest divorce agreement that Gae Polisner and Christopher S. Jay mediated took just two weeks, start to finish.

The couple “had spent $63,000 in four months or so of litigation,” recalled Ms. Polisner, 41, the female half of Divorce Mediation Services in Huntington, N.Y. “Literally, they had a court date two weeks off. They said you’ve got two weeks to resolve this. To this day they seem pretty happy with their resolution.”