1. A method of operating a computerized tournament game system comprising a computer operatively coupled to a registration interface, the method comprising: a) obtaining via the registration interface requests from a plurality of users for registration to a commenced tournament characterized by certain parameters thus giving rise to a plurality of registration requests to the commenced tournament; b) testing, with a help of the computer, if said plurality of registration requests matches a predefined criterion, c) upon matching the predefined criterion, substantially concurrently initiating two or more active tournaments characterized by the same parameters as the commenced tournament; and d) assigning, with a help of the computer, the requests comprised in said plurality of registration requests to said initiated active tournaments in a manner enabling distribution of assignments between all concurrently initiated active tournaments, said assigning provided in accordance with predefined assigning rules.