1. A method for enabling a cedent associated computing system, comprising a cedent computing system or a cedent's broker computing system, to negotiate a reinsurance of a risk with a plurality of assumers through a host computing system, which is connected to the cedent associated computing system through the Internet or another computing network, wherein the negotiation for reinsurance of the risk is conducted through various stages of negotiation between the cedent associated computing system and the plurality of assumers, the method comprising: the cedent associated computing system creating a submission of risk for reinsurance with one or more interfaces provided by the host computing system, the submission of risk for reinsurance including a risk record describing an initial insurance of a risk for which reinsurance is being sought and information relating to a type of reinsurance being sought by a cedent; the cedent associated computing system identifying, through the one or more interfaces provided by the host computing system, a plurality of assumers that are each intended to receive the submission of risk for reinsurance; the cedent associated computing system providing input to the host computing system, through the one or more interfaces provided by the host computing system, which causes the submission of risk for reinsurance to be sent from the host computing system to each of the plurality of assumers, and such that each of the plurality of assumers receives the same submission of risk for reinsurance that was created by the cedent associated computing system with the one or more interfaces provided by the host computing system; the cedent associated computing system receiving, through the one or more interfaces provided by the host computing system one or more responses to the submission of risk for reinsurance from one or more of the plurality of assurners to whom the submission of risk for reinsurance was conveyed, the received responses indicative of one or more of the plurality of assumers that are interested in negotiating for reinsurance of the risk, wherein each response comprises one of an offer, a counteroffer, a quote, a plurality of alternative quotes, a refusal to quote, or an acceptance of a request to bind; the cedent associated computing system accessing at least one negotiation interface from the one or more interfaces provided by the host computing system and which includes interface response options for the cedent associated computing system to reply to a corresponding assumer of each received response, the interface response options comprising at least one of a counter offer option, a refuse offer option, or an accept offer option, wherein when the cedent associated computing system utilizes the counter offer option, the refuse offer option, or the accept option for replying to a received response from a corresponding assumer, the host system conveys a corresponding counter offer, refusal or acceptance to the corresponding assumer; the cedent associated computing system utilizing the at least one negotiation interface to reply to at least one received response from at least one corresponding assumer of the plurality of assumers; and the cedent associated computing system accessing the at least one negotiation interface to accesses any additional responses and for submitting additional replies necessary to continue or conclude the negotiation with any of the plurality of assumers.