I'll take a look into ur paper, just read ur comment, when u talk about puttin "the control in the hands of those who transact the most" it reminds me NEM with the proof of importance 
Proof-of-importance is an obfuscation of proof-of-stake, because it doesn't burn transaction fees, so a cartel majority of stake holders (who thus can control which chain wins) could do as many transactions as they want, paying any transaction fees to themselves:
the POI algorithm, albeit unique, is not a huge amount different than a regular POS algorithm, the only difference being that it takes into consideration how many transactions you make.
If you think it can easily be cheated, well i guess all you need to do is move your funds across different accounts constantly.
If you think it can easily be cheated, well i guess all you need to do is move your funds across different accounts constantly.
Thanks for confirming it is just proof-of-stake with some weighting by the transaction graph. That is my read also:
http://nem.io/NEM_techRef.pdf#section.7
As for whether it's security could be gamed (leading to The DAO like failure), well I would argue that the risk is nonzero (given that anyone can make a lot of transactions) until it has been properly peer reviewed. You can't trust one guy to do this sort of analysis.
Additionally NEM's consensus ordering system has numerous other deficiencies that I don't have time to detail now. After my white paper is published, we can go into it. As to discuss it now, would basically require revealing much of my white paper before I am ready to.