The Geometry of Efficient Fair Division
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 exclusiv…
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Produktdetails
Weitere Autoren: Taylor, Alan D. (Solist)
- ISBN: 978-0-521-84248-8
- EAN: 9780521842488
- Produktnummer: 1352276
- Verlag: Cambridge
- Sprache: Englisch
- Erscheinungsjahr: 2005
- Seitenangabe: 472 S.
- Masse: H23.5 cm x B15.5 cm x D2.9 cm 735 g
- Auflage: New
- Gewicht: 735
Über den Autor
Julius B. Barbanel is Professor of Mathematics at Union College, where he has also served as Department Chair. He has published numerous articles in the areas of both Logic and Set Theory, and Fair Division in leading mathematical journals. He is a member of the Mathematical Association of American, the Association of Symbolic Logic, and the Game Theory Society.
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