Game b recognizes that much of the world is subject to coordination problems (more evocatively called 'Moloch traps' or 'Prisoner's dilemmas')[1]. Game b thinking also recognizes both that the best outcome for a competitor within the current system is less optimal than the default outcome for a participant in a better system, and that any attempt to reform the current system requires viability within it.
Game a is therefore the game of being successful in the current imperfect system. Game b is the game of reforming it to make good outcomes easier for everyone to achieve. In some sense, Game b includes Game a, since staying viable in Game a is required to participate in Game b. But prioritizing Game b often leads to a different strategy for Game a than seeking maximum success in Game a.
Like I said, that's my take and likely my take on a Tuesday morning alone - but I'd be happy to discuss it further with you if you're interested.
[1]https://slatestarcodex.com/2014/07/30/meditations-on-moloch/