The game of Monopoly resolves around a Dynamic Engine formed by the player's money and property. However the positive feedback this causes is quite slow. In the diagram below the AI (rather Artificial Players) have a chance of buying new property. However for the sake of modeling Blue's chance is twice as good, making that player win much more often.
An interesting observation can be made from this model. Sometimes the game goes on forever. This happens when the difference between the rent income is compensated by the steady income from passing 'go'.
The following patterns are present in Monopoly: