Abstract personality traits can be translated into concrete rules a machine follows during a game. Two AI players are programmed with different personality profiles, then the computer runs 300 games between them. The results show that personality matters most in three-player games, while two-player games rely almost entirely on probability.

Personality profiles shape how a Monopoly player behaves, but whether aggression or caution wins depends on who else is at the table. To find out, you program two AI players — Type A plays aggressively, Type B plays cautiously — alongside a Random player that serves as a control. The computer plays 300 games across three sets of 100, each set using a different mix of these players. In three-player games, Type B wins the most while Type A wins only about half as often, but in two-player games the gap nearly disappears.

In a two-player Monopoly game, dice rolls dominate the outcome so completely that a Type A aggressive player and a Type B cautious player win nearly the same number of games. Strategy differences barely matter when chance controls so much. Add a third player and the balance shifts — with more agents in the game, personality differences produce unequal win rates, showing that strategy can override pure probability under the right conditions.

The best move often depends on who else is playing. In a Monopoly simulation, you program two AI players with distinct personality profiles: Type A plays aggressively, Type B plays cautiously. When a Random player joins to make it three players, Type B wins the most and Type A wins only about half as often. In two-player games, though, both strategies win nearly the same number of games. The optimal approach shifts with the number of opponents — what works in a crowd doesn't necessarily work one-on-one.