The Big Time

This is one of the older SciFi Hugos I have managed to find and was awarded in 1958. It is one of those first person narrative styles like Harrison Ford in BladeRunner.  The author was raised as an actor and this book is really a play but written as a book. It all happens in one room where time travelers come and go as needed.  They are all participating in a Change War much like the humans and robots in Terminator. As usual there were other volumes written later but I am already chasing a number of series so I may not get back to this one.