I have to question the meaning of their result.

it's a known and inituitive result that a random walk on a lattice eventually reaches every point. This has no practical meaning whatsoever. it's not an interesting result because, just like the random walk on a lattice, after one person becomes an oligarchy, eventually a different person will also become an oligarch.

why did you choose to stop when the first became an oligarch? to make a click baity title?

people need to understand probabilities to read through bullshit like this article.