"The result of some concept work by a Microsoft Research economist named Glen Weyl, quadratic voting is designed to force people to express their honest opinions about their choices by attaching a cost. One vote costs one unit of value—in its purest form, you would literally buy that vote with your own hard-earned American dollars. But not so fast, because the cost of a vote increases—by the number of votes times itself, to be precise. (That's the "quadratic" part.)1 So two votes cost four dollars; three votes cost nine. Ten votes? One hundred dollars. The point is, you can yell as loudly as you want, but louder yelling costs more—so you have to be really incentivized to do it.
“Fundamentally, quadratic voting addresses the problem of the tyranny of the majority, a standard criticism of democracy,” Weyl says. “Standard rules are based on the notion that everybody is exactly the same and cares the same amount. If you doubt that’s a problem, think about the plight of African Americans in the United States, or the drug war, which dramatically affects certain groups of people.” But with quadratic voting, you can vote harder on what’s closer to home. And when the vote is over, all the money in the pot gets distributed to each voter equally, which is supposed to sort of re-grade the playing field for next time."
https://www.wired.com/story/colorado-quadratic-voting-experiment/
“Fundamentally, quadratic voting addresses the problem of the tyranny of the majority, a standard criticism of democracy,” Weyl says. “Standard rules are based on the notion that everybody is exactly the same and cares the same amount. If you doubt that’s a problem, think about the plight of African Americans in the United States, or the drug war, which dramatically affects certain groups of people.” But with quadratic voting, you can vote harder on what’s closer to home. And when the vote is over, all the money in the pot gets distributed to each voter equally, which is supposed to sort of re-grade the playing field for next time."
https://www.wired.com/story/colorado-quadratic-voting-experiment/