What? You've never been in the situation where you're all standing around trying to decide which restaurant to go to? Sure you each choose off the menu, but that's fine grain. The bigger question is which restaurant to go to. And that's a group decision.
As to the rest, your math analogy is bad. It's not that I have zero power to make decisions like this. I have 1/US Population power. Not much by itself, but a million folks here and million there - pretty soon it adds up.
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"Against stupidity the gods themselves contend in vain."
-- Friedrich Schiller
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