If given an actual game of Monopoly, after R rounds the amount of available land decreases to none. The only way to remain competitive is to own land. Luck is

If given an actual game of Monopoly, after R rounds the amount of available land decreases to none. The only way to remain competitive is to own land. Luck is a major factor in Monopoly, so to be fair, a new player would have to be able to have a 50% chance of surviving one lap of the board. I would take the value of all claimed land and give the player 50% of that value. The amount taken would be a progressive tax, but one that would not change the current rank of all player's monies and land value. If all land has been claimed when a new player enters, I don't feel a new player could succeed. It would take a much larger tax to all players, so the new player could selectively barter and purchase land from another player, but to win, other players can hold land and try to siphon the new influx of cash from the new player. An interesting experiment, I like it! I believe the game German Railways (a "cube rail" game) is similar where players get unequal turns.