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Julius B. Barbanel

Geometry of Efficient Fair Division

Ebook (PDF Format)

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 exclus… Mehr

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Produktdetails


  • ISBN: 978-0-511-10892-1
  • EAN: 9780511108921
  • Produktnummer: 13833697
  • Verlag: Cambridge University Press
  • Sprache: Englisch
  • Erscheinungsjahr: 2005
  • Seitenangabe: 0 S.
  • Plattform: PDF
  • Masse: 3'443 KB

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