Asymmetric method of sealed bids. Suppose that an estate consisting of M indivisible

Chapter 3, Problem 70

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Asymmetric method of sealed bids. Suppose that an estate consisting of M indivisible items is to be divided among N heirs 1P1, P2,c, PN2 using the method of sealed bids. Suppose that Grandmas will stipulates that P1 is entitled to x1, of the estate, P2 is entitled to x2, of the estate,c, PN is entitled to xN, of the estate. The percentages add up to 100%, but they are not all equal (Grandma loved some grandchildren more than others). Describe a variation of the method of sealed bids that ensures that each player receives a fair share (i.e., P1 receives a share that she considers to be worth at least x1, of the estate, P2 receives a share that he considers to be worth at least x2, of the estate, etc.).

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