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The Geometry of Efficient Fair Division.

Barbanell, Julius

Verlag: Cambridge University Press, Cambridge University Press, 2005
ISBN 10: 0521842484 / ISBN 13: 9780521842488
Gebraucht / Hardcover / Anzahl: 1
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Titel: The Geometry of Efficient Fair Division.

Verlag: Cambridge University Press, Cambridge University Press

Erscheinungsdatum: 2005

Einband: Hardcover

Zustand: As New


ix 462p bright blue illustrated boards with yellow lettering to spine, an excellent copy, like new. Buchnummer des Verkäufers PAB 168904

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Inhaltsangabe: What is the best way to divide a 'cake' and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large as every other player's piece?). He focuses exclusively on abstract existence results rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates results concerning the existence of efficient and fair partitions.

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