It's really lack of creativity on the part of poltiicians and also the public. While the article is talking about a mathematical shape of voting, it also has the shape of a sports tournament. We certainly don't have problems picking winners for the NBA or World Cup. Voting is just too low resolution and there's so much more on the line. Why aren't there elections every year that have multiple levels of "primaries", showing brackets for candidates as they each go head to head with each other?

This is where I put on my metaphorical tin foil hat and think there is a lot of corruption that takes place to prevent fair elections that could let anybody win. The truth is those in power have every incentive to pull every lever they have to remain in power, and to gatekeep aggressively to make sure only those who think the same way even have a chance.

Okay, so the next question is how do good voting systems choose to solve Arrows’ law?

Which condition is loosened or eliminated by which voting systems, and what are the consequences?