I personally think that's a pretty inaccurate comparison, because in chess when you moved king's knight to f3, you're absolutely guaranteed that when you're done, that knight will sit on that space. In one-pocket, every move includes a probability of successful execution, and a range of likely unsuccessful outcomes, all of which may need to be taken into account.

But in terms of selecting a shot, particularly early in the rack, I do admit that one might utilize a chess-like application of game theory, and particularly the minimax theorem seems of value. Paraphrased based on my rudimentary understanding, to implement minimax, you'd consider each of your possible shot options, and assess your opponent's best possible reply to each. Whichever of your shots results in your opponent having the worst reply, is the shot you should take. Your goal is to minimize the maximum utility available to your opponent.

Anybody aware of a scholarly application of game theory to one-pocket? Anybody have an opinion on whether minimax is a good approach to bring to one-pocket shot selection? Anybody have an alternate algorithm for one-pocket shot selection?

-Andrew