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NxtMyths 6: What is Nxt mining and why is Proof of Work bad?

After many weeks of collecting various materials about this topic:

https://drive.google.com/file/d/0BwAGADgnQcrtcDhZTHRtSWNPUkU/edit?usp=sharing

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7. Rich get richer - coming soon

I look forward to rich get richer because i think it may be a legit criticism. I would love for you to make a strong argument to the contrary. here is my line of thinking.

If you think through the forging process logically suppose you have 2 actors forging, one with 2million nxt and one with 1million nxt. The net balance of payments will tend to flow from the account with 2million nxt into the account with 1 million nxt only if the account with 2million nxt engages in greater than twice as many transactions as the account with 1 million nxt. This indicates that its not necessarily about how much nxt you have, how many transactions you make plays a big part. The problem is we see that studies on consumption taxes indicate that they tend to be highly regressive. The same logic applied here means that the rich would tend to get richer.

with that said sometimes life isnt about ideals. sometimes life is about picking the least bad option.

Easy. Everyone gets an equal rate of return on their investment. At least you don't have banks and all other forms of middlemen skimming off the top.

Sure thats true but it isn't really relevant. The question is whether nxt will cause the rich to get richer. Not whether everyone will get an equal rate of return on their investment.