An important aspect of the game is playing order. Players who take their turns before others are much less likely to land on properties that are already bought. Thus, the first rolls of the dice, both for playing order and the players’ early rolls in the game, can be highly determinative of the final outcome.
One strategy to overcome the element of chance in determining player order is to auction spots in the order. Additionally, players may choose to re-auction player order one or more times as the game progresses. Indeed, regular re-auctioning of player order should enhance the viability of a game involving a larger number of players, since players later in the order of an earlier round would have just as much access (and likely more money to fund a higher bid) in later rounds of auctions. (It should also be noted that the more players in a game, the more likely they will form alliances, which any particular playing group may want to encourage or discourage.)
Proceeds from an auction can be distributed back to the players, so as to lessen the advantage of moving earlier. One manner is to award the player going last in a round the difference between his or her bid and the winning bid, and giving the player going next to last the proceeds of the difference between his or her bid and the bid winning second, etc.
Another strategy to reduce the chance effect of determining player order by rolling dice is to “snake” the order: Players might follow an order of, say, 1, 2, 3, 4, ..., ..., 4, 3, 2, 1, 1, 2, 3. . . . Indeed, this strategy can be combined with an order of play auction to reduce even further the element of chance, as it affects playing order, in determining the game’s outcome.
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