The first printing of the first edition is always the most valuable. Each publisher notates that differently.
I was working in a bookstore when ARRTI came out, and if I remember it was published by the University of Chicago. Unusual; University presses rarely have best sellers. So, all the more valuable for that. Also, all the more valuable because, being a U. press, the first run was probably a small one.
This means that, theoretically, the first printing will be even MORE valuable, which of course raises the price of all subsequent printings. So while a second printing of a Stephen King book is worth approximately spit, the second printing of ARRTI might be worth a great deal. It depends upon what the market will bear.
The history of the book is also extremely relevant. I paid almost $100 for a 14th edition of Ulysses 20 years ago, but the publishing history of Ulysses is so unique–many early printings were almost entirely destroyed by customs, stuff like that–that conventional rules don’t apply.
Since ARRTI is somewhat unique as well, be prepared to pay more than for many modern first eds.
Just be sure to take your time: watch some eBay auctions, see what the edition you want tends to go for, then look around, IRL as well as online. Search for rare book/1st Ed. sellers in your city.
Good luck.