A method of providing incentive to play gaming devices during certain
off-peak hours comprises three types of periods: an earning period over
which earned credits are accumulated responsive to the level of play on
the gaming device, a redeeming period where the earned credits can be
played, and a regular period where credits are neither earnable or
playable. In this way, the player is given an incentive to play during
certain times of the week which are otherwise off-peak playing times where
the casino might be relatively empty. The amount of credits earned and
redeemed can also be dependent upon the player level so that more valuable
customers are given preferential bonuses to encourage play.