About Pennant Race, from BoardGameGeek:
Pennant Race is a baseball game that concentrates not on individual games and the pitcher/batter confrontation but on roster management and trading over an entire season. Real-life players are rated according to their batting average, power, speed and defense over the previous season and those ratings are used to simulate the outcome of a game on a single dice roll. Over the course of the season, the standings of each club in the league is tracked to see who wins the championship. Provisions are included in the game for injuries and star performances to occur, and mechanics are included for rookie players to be created. The game is designed for solitaire play as well as multiple players, and can be used to simulate the background games of a league in tandem with whatever detailed baseball simulation the user prefers.
