Solved: Five players are dividing a cake among themselves using the lone-divider method

Chapter 3, Problem 30

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Five players are dividing a cake among themselves using the lone-divider method. After the divider D cuts the cake into five slices (s1, s2, s3, s4, s5), the choosers C1, C2, C3, and C4 submit their bids for these shares. (a) Suppose that the choosers bids are C1: 5s2, s36; C2: 5s2, s46; C3: 5s1, s26; C4: 5s1, s3, s46. Describe three different fair divisions of the land. Explain why thats itwhy there are no others. (b) Suppose that the choosers bids are C1: 5s1, s46; C2: 5s2, s46; C3: 5s2, s4, s56; C4: 5s26. Find a fair division of the land. Explain why thats itwhy there are no others.

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