Reasoning correlation enables selfish cooperation

If many agents use the same decision procedure, an individual's choice becomes evidence about others' choices; under realistic small error rates, that correlation can make a globally cooperative action (here, 'blue') individually rational even for selfish agents. The threshold depends on the error rate and how much you value others you care about versus yourself. — This reframes debates about voting and coordination: institutions and norms that make reasoning public or shared (or align decision procedures) can turn individually risky collective choices into stable, rational equilibria.