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This procedure can be readily extended to more than two people. The first person cuts a piece he believes to be an even share. Then, in some order, each of the other people is given the chance to take that piece of pie. The person who cut the piece gets that piece if and only if all the other people reject it. The procedure then continues for the remainder of the pie with the next person in order who does not already have a piece of pie making the next cut. Note that the success of this procedure excludes the possibility of Collusion ; however, the effects of collusion can be reduced if a Random rather than fixed order is used. A related idea in Social Philosophy is the Veil Of Ignorance . |
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