How to divide things fairly

Steven J. Brams; D. Marc Kilgour; Christian Klamler

doi:10.4169/math.mag.88.5.338

How to divide things fairly

Steven J. Brams, D. Marc Kilgour, Christian Klamler

Research output: Contribution to journal › Article › peer-review

Abstract

We propose an intuitively simple sequential algorithm (SA) for the fair division of indivisible items that are strictly ranked by two or more players. We analyze several properties of the allocations that it yields and discuss SA’s application to real-life problems, such as dividing the marital property in a divorce or assigning people to committees or projects.

Original language	English (US)
Pages (from-to)	338-348
Number of pages	11
Journal	Mathematics Magazine
Volume	88
Issue number	5
DOIs	https://doi.org/10.4169/math.mag.88.5.338
State	Published - 2015

ASJC Scopus subject areas

General Mathematics

Access to Document

10.4169/math.mag.88.5.338

Cite this

@article{4a06360788584ea09c36de05e77e2fb5,

title = "How to divide things fairly",

abstract = "We propose an intuitively simple sequential algorithm (SA) for the fair division of indivisible items that are strictly ranked by two or more players. We analyze several properties of the allocations that it yields and discuss SA{\textquoteright}s application to real-life problems, such as dividing the marital property in a divorce or assigning people to committees or projects.",

author = "Brams, {Steven J.} and Kilgour, {D. Marc} and Christian Klamler",

note = "Publisher Copyright: {\textcopyright} Mathematical Association of America.",

year = "2015",

doi = "10.4169/math.mag.88.5.338",

language = "English (US)",

volume = "88",

pages = "338--348",

journal = "Mathematics Magazine",

issn = "0025-570X",

publisher = "Taylor and Francis Ltd.",

number = "5",

}

TY - JOUR

T1 - How to divide things fairly

AU - Brams, Steven J.

AU - Kilgour, D. Marc

AU - Klamler, Christian

N1 - Publisher Copyright: © Mathematical Association of America.

PY - 2015

Y1 - 2015

N2 - We propose an intuitively simple sequential algorithm (SA) for the fair division of indivisible items that are strictly ranked by two or more players. We analyze several properties of the allocations that it yields and discuss SA’s application to real-life problems, such as dividing the marital property in a divorce or assigning people to committees or projects.

AB - We propose an intuitively simple sequential algorithm (SA) for the fair division of indivisible items that are strictly ranked by two or more players. We analyze several properties of the allocations that it yields and discuss SA’s application to real-life problems, such as dividing the marital property in a divorce or assigning people to committees or projects.

UR - http://www.scopus.com/inward/record.url?scp=84975886693&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975886693&partnerID=8YFLogxK

U2 - 10.4169/math.mag.88.5.338

DO - 10.4169/math.mag.88.5.338

M3 - Article

AN - SCOPUS:84975886693

SN - 0025-570X

VL - 88

SP - 338

EP - 348

JO - Mathematics Magazine

JF - Mathematics Magazine

IS - 5

ER -

How to divide things fairly

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this