1. A method for facilitating automated securities trading comprising: providing, by a computer of a first party, to an anonymous server that is anonymously accessible to an automated system of a second party, information on price and quantity of a security; receiving, by the computer of the first party, an immediate or cancel order (IOC) or indication of interest (IOI) to trade a security from the automated trading system of the second party via the anonymous server in response to the information on price and quantity provided by the anonymous server, wherein the anonymous server initially preserves the identity of the second party; receiving, by the computer of the first party, determinative predictions about whether to accept or reject the IOC or IOI from the first party; responding, by the computer of the first party, to the automated system of the second party via the anonymous server to the IOC or IOI based on the determinative predictions received from the first party by at least one of: 1) executing the IOC and indicating acceptance of the IOC; 2) rejecting the IOC or IOI; and 3) accepting the IOI; and receiving, by the computer of the first party, the identity of the second party upon the acceptance of the IOC or the IOI from the anonymous server.