Didn’t we mathematically show that price competition, when done well enough, is identical to price fixing (given sufficient computing power)?
The simplified-to-the-point-of-stupidity game-theory idea that defection is always better relies on a non-iterative system with no feedback or interaction. The cat’s out of the bag on monopolies. Pretty sure if you broken Google up into 20 different cells that weren’t allowed to communicate except in public they’d be able to find a way to function as a monopoly anyway. (Our only hope would be that egos of idiot managers would prevent them from doing so)