The present invention is a method and a gaming system for operating a progressive game that is accessible at a plurality of gaming machines. The progressive game has a plurality of progressive jackpots. The method and system involve collecting wager-input data at the plurality of gaming machines that corresponds to wager inputs made at the plurality of gaming machines, and crediting a portion of the wager inputs to a first group of the plurality of progressive jackpots in accordance with a first distribution set. In response to the wager-input data meeting a predetermined criteria, the method and system include crediting a portion of subsequent wager inputs to a second group of the plurality of progressive jackpots in accordance with a second distribution set. The first group directs funds to at least one progressive jackpot in an amount that is different from the second group.