I think one of the problems in the world, and maybe this is contributing to the high income inequality, is that people want to be billionaires.
This is a "problem in the world" in the same way that sex out of wedlock is a "problem." It's just one of the many facets of human nature. Historically, institutions and policies that take human nature into account fare better than those railing against it. The United States is one of the biggest examples.