Published in Worlds of If, May 1962.
The 64-Square Madhouse is a fairly straightforward story about the first chess-playing computer at a chess tournament. Written in 1962, chess-playing computers had been around since the 1950s, however at the time they were only good enough to beat amateurs. The first computer to be entered into a tournament occurred in 1967.1) It wasn't until the late eighties that computers could compete with grandmasters though.
Is The 64-Square Madhouse science-fiction? It is fiction based off of a very real scientific premise, even if it was soon to become reality. More importantly, it is a story about chess and the people that play it–and it is here that it shines with its very rich cast of characters and behind the scenes look at the chess-world.
There seems to be a little bit of Leiber in the character, Dr. Krakatower, a has-been chess master who also writes fiction and describes himself as an antique womanizer. At this point in his life though, Leiber would have only been 51 years of age.