I have never considered it to be a bad practice to throw an exception in the constructor. When the class is designed, you have a certain idea in mind of what the structure for that class should be. If someone else has a different idea and tries to execute that idea, then you should error accordingly, giving the user feedback on what the error is. In your case, you might consider something like
if (age < 0) throw new NegativeAgeException("The person you attempted " +
"to construct must be given a positive age.");
where NegativeAgeException
is an exception class that you constructed yourself, possibly extending another exception like IndexOutOfBoundsException
or something similar.
Assertions don't exactly seem to be the way to go, either, since you're not trying to discover bugs in your code. I would say terminating with an exception is absolutely the right thing to do here.