Is it possible the Condorcet jury theorem provides not just a mathematical basis for democracy and the justice system, but a model predictor of one’s political persuasion as well?
If you’re an optimist, you have no trouble believing that p > 1/2. You give people the benefit of the doubt that they will try their best and most often, succeed in tipping over the average even if just by a hair. That’s all it takes for the theorem to prove true: that the larger the number of voters, the closer the group gets to making the “correct” decision 100% of the time.
On the other hand, if you’re a pessimist, you might quibble with that — saying that people are low-information voters who you don’t think very highly of, and don’t find very capable. You might say that people will mostly get it wrong, in which case p < 1/2 and the theory feedback loops all the way in the other direction, to where the optimal number of voters is 1: the autocrat.
A political sorting hat of sorts
Optimists will tend to believe in the power of people to self-govern and to act out of compassion a fair amount of the time, thus leaning to the left: to the Democrats, social democrats, socialists, and the alt-Left. Pessimists will tend to favor a smaller, tighter cadre of wealthy elite rulers — often, such as themselves. They might be found in the GOP, Tea Party, Freedom Caucus, Libertarian, paleoconservative, John Birch Society, Kochtopus, anarcho-capitalist, alt-Right, and other right-wing groups including the Ku Klux Klan (KKK) and other white militia groups around the country.
Granted the model is crude, but so was the original theorem — what is the “correct” choice in a political contest? Or does the Condorcet jury theorem imply that, like becoming Neo, whatever the majority chooses will by definition be The Right One for the job? π€
…if so, we definitively have the wrong President.