Greed as we see it today is a symptom of our economics system. The system encourages greedy behavior, you win if you act greedy. I'm currently working on simulations attacking this problem, focusing on systems that discourage competitive actions and encourage cooperation and equality. A resulting society based on a more egalitarian economic system wouldn't be a utopia, but I hypothesize that we can create a much better world by attacking the root of all out systems and what types of behaviors it rewards.

I believe it's an educational/cultural problem and not a systematic one.

Bad actors will corrupt any system out of greed for wealth and power.

There are lots of "fundamentally intrinsic" harmful elements of human behavior and culture but civilization is slowly getting them under control.

But there is a vast difference between getting something under control and getting rid of it.