Another variation from http://www.joelonsoftware.com/articles/fog0000000043.html, item 3, break the build, it is now your job to shepherd the daily build until someone else breaks it.
(Aside: how many articles was Joel planning on writing when he came up with that URL scheme? Crikey.)
Some teams want everyone to be familiar with how they do it. If that is your goal, you have to pick the unlucky person in some way.