I'm curious: is there any otherwise "fair" voting system that is less representative than "first past the post voting"? It's obvious it was chose for the US be

I'm curious: is there any otherwise "fair" voting system that is less representative than "first past the post voting"? It's obvious it was chose for the US because they had ZERO knowledge of game theory and it was the best they could come up with at the time. But given that we now know how to do representative democracy that's actually, you know, representative, it does make me wonder if the US is actually provably using the worst "fair" voting system we actually know how to build. And if it is, you'd think it'd be possible to get the states to pass a constitutional amendment changing it (which would then go to congress – yes, it's in reverse, but the two-party system will NEVER vote themselves out without an overwhelming public display of opinion on the matter, IMO).