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One such solution is by bidding: Players take turns bidding on how many moves it will take them to win the game.
The lowest bidder gets the king.
Thus, one player may open with a bid of 15 turns, the other player may counter with a bid of 14 turns, and the first player, more confident in his ability to escape in 13 rounds than in his ability to contain for 14, may bid 13 and take the king's side.
If that player does not escape within 13 turns, the other player wins.
Another workaround is to play a two-round match, in which players switch sides after the first round.
If the king escapes both rounds, the winner is the player whose king escaped in the fewest turns.

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