Concept explainers
Be fair. The moving-knife and yelling “Stop” method leaves all three people with a fair piece of the cake in their eyes. Find a moving-knife method for giving a fair division for four people, five, six, and so on. That is, if there are four people, each person must receive a piece of the cake that is worth at least oneq uarter of the value of the whole cake in their eyes.
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The Heart of Mathematics: An Invitation to Effective Thinking
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