There's that famous phrase (Churchill): 'It has been said that democracy is the worst form of government except all the others that have been tried'. But this is more subtle: it's about lying, and ultimately, corruption. Is this a solved problem in hard political science?
I know of various solutions explored in science fiction, notably by Robert Heinlein, Arthur Clarke, Eric Frank Russell, Christopher Anvil, et al. There's game theory, where cooperation 'breeds' more cooperation, in a world of defectors.
But, it seems to me, corruption is now the biggest problem facing humanity. If we can fix that, it'll cascade down through everything else: climate change, energy sources, ecological destruction, sexism, etc...