Geometry of Efficient Fair Division

Kort om boken

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…

Oppdag mer

Velg tagger...
Spar {0}
Spar {0} som ARK-VENN
{0} til nettpris
med Klikk&Hent
Format/språk (2 forskjellige)
   Klikk og hent - få varen innen 2 timer*
   Alltid bytterett - Norges beste. Bytt uten kvittering.
* Gjelder varer på lager i butikk

    Om 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 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.

    Kundevurderinger

    Totalvurdering: 

    Gi din vurdering: 
    Totalvurdering: 

    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2005
    Forlag
    Cambridge University Press
    Språk
    Engelsk
    ISBN
    9781107140400
    Emne

    Anbefalt