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Mathematical Devices for Getting a Fair Share



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Abstract:

For ages the problem of fairly dividing resources—whether they be estates, territories or the spoils of war—has generally been resolved unilaterally, as in the case of Solomon and the baby. Recently, however, mathematicians have discovered elegant, practical and surprisingly simple resolutions to many fair-division problems. The author describes a number of different approaches to solving both ancient and recent "cake-cutting" problems and notes that the field remains ripe for innovation.


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