I am looking for a reference (book or article) that poses a problem that seems to be a classic, in that I’ve heard it posed many times, but that I’ve never seen written anywhere: that of the possibility of a man in a circular pen with a lion, each with some maximum speed, avoiding capture by that lion.
References to these sprts of pursuit problems in general would also be appreciated, and the original source of this problem.
Since you’re asking for a reference, perhaps this will do?
Wolfram Mathworld says the problem was listed by Rado in 1925. The reference is on the problem description page, here.
Here is a book on this type of problem
it is also briefly mentioned in his other book “Euler’s Fabulous Formula”.
The book is Coffee in Memphis by Bollobas. It’s the first problem, and there are loads more :