I think society doesn't purposefully handle it at all currently, issues are solved by accident through simply waiting for new technologies to make all the old problems disappear. Sometimes a problem is so gigantic that no amount of spin and delusion can deny it and then things do tend to get fixed but usually with a few new problems in there as well. Regarding your game theory question: One group being immovable in thought inevitably leads to either that group gaining more members or new immovable groups forming to fight that contender at the same level.