[dragonwriter]

> Morality is extensively covered in game theory and is all about getting the best possible outcome for every member of the group

You can derive some rules similar to those that some moral systems hold as first principals through game theory starting with simpler first principals, like some particular operationalization of utilitarianism, but that doesn't make morality logical, it makes it possible to use logic to derive a more complex moral framework from a small set of moral axioms. (And it may provide a tool for simplifying some pre-existing moral systems, to the extent that they have a large number of moral axioms but those can be derived from a smaller set of axioms through logic.)