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A Fair Apportionment of Dividing a Leftover Piece of Cake

question 36

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A fair apportionment of dividing a leftover piece of cake between two children is to let child #1 cut the cake into two pieces and then to let child #2 pick which piece he or she wants. Consider the following apportionment of dividing the leftover piece of cake among three children. Let the first child cut the cake into two pieces. Then the second child is permitted to cut one of those pieces into two parts. Child #3 can select any of the pieces, followed by child #1 selecting one of the remaining pieces, followed by child #2 who gets the remaining piece. Is this allocation process fair if each child's goal is to maximize the size of his or her own piece of cake? ​


Definitions:

Visual Memory

The ability to remember information encoded in visual form, which can be used to recall facts, details, or the physical location of objects.

Chunking

A process of reorganizing (or recoding) materials in working memory by combining a number of items into a single, larger unit.

Recognition

A type of retrieval that requires you to judge whether you have encountered a stimulus previously.

West Virginian Counties

Administrative subdivisions of the state of West Virginia, in the United States, each with its own local government.

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