Who's to say I'm not the AI player from that experiment?

Are you? I'd be highly curious to converse with that player.

I think you're highly overestimating your psychological abilities relative to the rest of Earth's population. The only reason more people haven't played as the AI and won is that almost all people capable of winning as the AI are either unaware of the experiment, or are aware of it but just don't have a strong enough incentive to play as the AI (note that you've asked for a greater incentive now that you've won just once as AI, and Eliezer similarly has stopped playing). I am ~96% confident that at least .01% of Earth's population is capable of winning as the AI, and I increase that to >99% confident if all of Earth's population was forced to stop and actually think about the problem for 5 minutes.

I have neither stated nor believed that I'm the only person capable of winning, nor do I think this is some exceptionally rare trait. I agree that a significant number of people would be capable of winning once in a while, given sufficient experience in games, effort, and forethought. If I gave any impression of arrogance, or somehow claiming to be unique or special in some way, I apologize for that impression. Sorry. It was never my goal to.

However, top .01% isn't too shabby. Congratulations on your victory. I do hope to see you win again as the AI, so I commit to donating $50 to MIRI if you do win again as the AI and post about it on Less Wrong similarly to how you made this post.

Thank you. I'll see if I can win again.