A method for simulating bonus awards in a finite award pool system is disclosed. The finite award pool comprises a plurality of primary awards and at least one simulated bonus award, where at least one of the primary awards indicate further entitlement to one of the simulated bonus awards. The simulated bonus awards may not be selected as a primary award per se, but constitute a portion of the actual primary award when combined with the primary award associated therewith. Additionally, the present arrangement allows simulation of more complex bonus award in finite pool systems by providing multiple or nested bonus level selections from either primary prizes or bonus prizes.