A novel game board comprises a base board (100) with rotating tiers (105, 405, 410, and 415) which rotate on a shaft (430) and bearings (402, 404, and 407) or a lazy susan (115), a pointer 120 or a rotating pointer knob (425) which points at numbers (305) and game fields (310) on a tier (300). Progress through the game is indicated by individual players' tokens (135). Game cards and play money (140, 320, 325, 330, and 335) are also provided. Multiple results can arise from the same players' moves. Hidden game fields (700) under the edges of square or rectangular tiers (405, 410, and 415) provide added excitement. Instructions in the game fields (300, 406, etc.) can apply to a single player or to all players simultaneously, resulting in advantages or disadvantages for one or all. No dice are used to play, only a rotating pointer knob (425) or a rotating tier 105 with a stationary pointer (120) are required to urge progress through the game. The same mechanical arrangement is applicable in a variety of games, resulting in an economy of scale for manufacturers.