Nature already solved that and implemented it. It's all around us with relationships. Not just among humans. They typically last over a single interaction. Especially if you don't ignore the rules of the game.

But the game theory of nature also leaves room for other sort of players to somehow win over fair play. I thought this was a bug but over time realised it is a feature, critical to making players as a whole stronger. Without it there would be no point for anyone to be creative.

If you can solve the issue and make a playbook so that everyone do tic for tac, it won't take long for a bad actor to exploit it, then more, then you are back to where we are now.