A sports simulation game, such as a baseball game, includes a play mat or game board having a general appearance of the sports field. In a baseball field, demarcations are provided to subdivide the field into a plurality of zones. Collectable game piece characters have self-contained, record-keeping components that describe the characteristics of the player. In operation, players are positioned around the field and a simulated interaction between teams occurs with the operation of symbol-generating devices, such as dice. One die is rolled by each player to generate a combination of symbols that corresponds to symbol combinations on game pieces to determine an outcome. Some outcomes require additional steps, such as rolling additional dice and comparing game play values on selected ones of the game pieces. During the game play simulation, activities occur that enhance or detract from a player's performance. The self-contained record-keeping device is adjusted to reflect changes in the players' performance thus changing game play values for subsequent operations.