There's no mathematical solution for single-player, non-zero sum games of any sort. All these constructs lead to is arguments about "what is rational". If you a full math model of a "rational entity", then you could get a mathematically defined solution.

This is why I prefer evolutionary game theory to classical game theory. Evolutionary game theory generally has models of its actors and thus guarantees a solution to the problems it posits. One can argue with the models and I would say that's where such arguments most fruitfully should be.