Here is the solution:

https://www.dieter-suhr.info/files/luxe/Downloads/Suhr_Struc...

https://www.dieter-suhr.info/files/luxe/Downloads/Suhr-Godsc...

The transaction cost approach means that the profit motive isn't a barrier either. If anything, you can make money off of solving the problem. That in itself is probably the ultimate proof that communism is wrong, because it turns communism into a self-hating ideology. Imagine being a communist controlling 1/3 of the world and deciding that you would rather see your "empire" crumble rather than convert the last 2/3 through irresistible persuasion/temptation. Not just that, but you literally start a campaign against the idea of doing so. You'd rather doom yourself than admit being a little bit wrong for even more power.