A bonus game having multiple levels of play includes credit-based and jackpot awards at one or more of the levels. The jackpot awards remain at a constant value regardless of the wager made. The expected return at the jackpot award level is generally held constant despite varying wagers through the use of a feature that provides for early termination of the bonus game at one or more levels played prior to that of jackpot award level. A reduced probability of reaching the jackpot award compensates for increased wagers and maintains the expected return constant or increasing with wager.