Systems, apparatuses and methods for providing options in gaming activities to take an offered award or to surrender it to play for more favorable awards. In one embodiment, a number of available awards are presented and at least one is selected for or by the player. The player can choose to keep the current award, or to surrender it to obtain a chance to obtain a different award. If the player surrenders the current award, the player is provided with selectable award advancement alternatives from which to select, including an option to obtain a new award positioned relative to the surrendered one of the available awards and an option requiring that the surrendered one of the available awards be retained. In response to the player selecting the option to obtain a new award positioned relative to the surrendered one of the available awards, the new award is identified.