https://www.google.com/#sclient=psy-ab&q="Tatsuaki+Okamoto"+...
http://academic.research.microsoft.com/Author/1002804/tatsua...
http://www.informatik.uni-trier.de/%7Eley/pers/hd/o/Okamoto:...
The plus side of such a system is honest bank customers still get complete anonymity, even if the banks conspire against you. The downside is you can never know if your bank is conspiring against their customers as a whole i.e. by not operating in line with their inflation/reserve policy... which of course is one of Bitcoins best features.
> Without a trusted certification authority and a secure infrastructure, the above four security features cannot be achieved, and electronic commerce becomes impossible over an untrusted transmission medium.
2. What they are describing has a security definition and can be proved secure. Bitcoin has no security definition, no proof of security, and is vulnerable to polynomial time attacks.
Cite?
http://bitcoin.org/bitcoin.pdf
It is also described here:
https://en.bitcoin.it/wiki/Weaknesses#Attacker_has_a_lot_of_...
And in this criticism by Ben Laurie:
I am not sure what you mean. What do you think this is an attack against?
"you can't use a polynomial-time algorithm to spend coins which belong to me."
In some situations I can. If, for example, you received your money from me, I can take the money from you and transfer it to someone else. The attacker can also stop you from completing transactions and stop you from receiving rewards for mining.