I noted elsewhere that A/B can be though of as an epsilon-first learning approach, Play random 100% till P-value<alpha, then play greedy(play the 'winner'). As an aside, it is unclear to me how using p-values is a clearer, easier, or more efficient, decision rule for these types of problems. It is almost always misinterpreted as the Prob(B>A|Data), choice of alpha determines threshold but is arbitrary, and often a straw-man default - implicitly biasing your confusion matrix. Not saying that you won't get good results, just that it is not clear that is a dominate approach.
This simple post I wrote on agents and online learning might be informative http://mgershoff.wordpress.com/2011/10/30/intelligent-agents...
But don't take my word for it (disclaimer: I work for www.conductrics.com, which provides decision optimization as a service) take a look at a great intro text on the topic by Sutton & Barto http://webdocs.cs.ualberta.ca/~sutton/book/ebook/the-book.ht...