This Science News article explains how no election system can be perfect, and they all lead to paradoxes. Here is a Discover article (2000) that also discusses election paradoxes. This page explains Arrow's Impossibility Theorem.

The problem with the Science News article is that it goes on to say that other voting systems are superior to the US system. But it is not clear in what sense they are superior, except in the subjective opinion of certain advocates. The other systems also have paradoxes and defects. If there were an objectively superior system, then it would be worth considering. But the supposed experts cannot agree on what system is best. That is a clue that it is just a matter of opinion.