Two Players
Two siblings dividing the last piece of cake using divide and choose is a simple and practical example. The first sibling divides the cake into two pieces, and the second sibling chooses which piece to take. Since both siblings wish to maximize their share of the cake, the first sibling will divide the cake evenly in his estimation and the second sibling will take the one perceived as more desirable. Even if there is icing unevenly on the cake that the siblings want, the first sibling can divide the cake to compensate for the perceived benefit of the icing in his view making them even, and then the second sibling chooses the piece he prefers.
Note that for two players envy-free division is the same as proportional division.
Read more about this topic: Envy-free
Famous quotes containing the word players:
“I do not like football, which I think of as a game in which two tractors approach each other from opposite directions and collide. Besides, I have contempt for a game in which players have to wear so much equipment. Men play basketball in their underwear, which seems just right to me.”
—Anna Quindlen (b. 1952)
“Yeah, percentage players die broke too, don’t they, Bert?”
—Sydney Carroll, U.S. screenwriter, and Robert Rossen. Eddie Felson (Paul Newman)