Explanation Given: Suppose that N players divide a cake using the lone-chooser method. The chooser is C and the dividers are D 1 , D 2 , ... , D N − 1 . Method: Lone-chooser method: N players ( N ≥ 2 ) ; all but one player (the dividers) divide the assets fairly among themselves, and each then subdivides his or her share into N sub-shares; the remaining player (chooser) picks one sub-share from each divider. The chooser is C and the dividers are D 1 , D 2 , ... , D N − 1 . Firstly, consider a set S which is separated into N − 1 shares among the dividers. Each player gets a share of at least 1 ( N − 1 ) t h part of S as this is a fair division

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ISBN: 9781323788721

Author: Tannenbaum

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The method guarantees a fair share to each player.

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The method guarantees a fair share to each player.

Solution Summary: The author explains how the lone-chooser method guarantees a fair share to each player, if played properly.

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The method guarantees a fair share to each player.