This is a funny topic because communism and socialism often get bad reputations. Both really sound like they could be fairly a decent way to run a country. The problem is every government seems to abuse the true style of what the government philosophies like :communism is supposed to be. Capitalism appears to be going through a similar problem that early communism and socialism went through. The government always seems to pander more to rich part of society than giving as equal attention as possible to every citizen.
In a correctly implemented communism no one man is wealthier the other. In the "Communist manifesto" Written by Karl Marx sets the idea of a classless system where no one is wealthier or better then the other an example of this is One of the planks of communism that Karl made in his book, which is equal obligation of all work. So I do not think that a Communism would be a benefit to the rich higher classes to society.