Arguably there are already sufficiently many articles on the Kelly criterion. Here are a few that I liked:

• Edward Thorp provides a great review of the Kelly criterion (with theorems, possible objections and many applications),
• This paper proves that a market with Kelly bettors
• has prices that are a wealth-weighted average of traders’ beliefs (no surprise so far),
• learns at the optimal rate and the market price reacts exactly as if updating according to Bayes’ Law (a bit of a surprise?),
• and the market prediction has low worst-case log regret to the best individual participant (quite a surprise, although potentially an artifact of the unrealistic(?) assumption of overly aggressive Kelly traders).
• Asymptotically outperforms any other strategy (ie $$\mathbb E[X/X_\text{Kelly}] \leq 1$$)