The biggest problem right now is that this is better modeled as a 3-player game, not 2.

Individual success until now has been a function of personal qualities (skill, attitudes, intangibles), luck, and anti-qualities (cheating, corruption, duping). In many areas (e.g. investing) human qualities are losing their edge thanks to AI and other automation. Luck averages itself out. That might leave anti-qualities as the putative determinant of success going forward.

So at a minimum you have a 3-player game of good humans, bad humans, and AI. Maybe AI turns into Daleks. Maybe good humans end up leveraging AI to castigate bad ones. Or maybe bad humans use AI to put the good ones out of their misery. Then there are the more complex multi-stage games based on the dynamics you mention.