The multistep friendship paradox

Josh Brown Kramer; Jonathan Cutler; A. J. Radcliffe

doi:10.4169/amer.math.monthly.123.9.900

The multistep friendship paradox

Josh Brown Kramer
, Jonathan Cutler
, A. J. Radcliffe

Mathematics

Research output: Contribution to journal › Review article › peer-review

13 Scopus citations

Abstract

The friendship paradox, proved by Feld in 1991, states that "on average, your friends have more friends than you do." In fact, Feld proved two versions of the paradox. We discuss generalizations of each of them that talk about the average number of friends that, for instance, a friend of a friend of a friend of a friend has.

Original language	English
Pages (from-to)	900-908
Number of pages	9
Journal	American Mathematical Monthly
Volume	123
Issue number	9
DOIs	https://doi.org/10.4169/amer.math.monthly.123.9.900
State	Published - 2016

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10.4169/amer.math.monthly.123.9.900

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title = "The multistep friendship paradox",

abstract = "The friendship paradox, proved by Feld in 1991, states that {"}on average, your friends have more friends than you do.{"} In fact, Feld proved two versions of the paradox. We discuss generalizations of each of them that talk about the average number of friends that, for instance, a friend of a friend of a friend of a friend has.",

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T1 - The multistep friendship paradox

AU - Kramer, Josh Brown

AU - Cutler, Jonathan

AU - Radcliffe, A. J.

N1 - Publisher Copyright: © THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 123.

PY - 2016

Y1 - 2016

N2 - The friendship paradox, proved by Feld in 1991, states that "on average, your friends have more friends than you do." In fact, Feld proved two versions of the paradox. We discuss generalizations of each of them that talk about the average number of friends that, for instance, a friend of a friend of a friend of a friend has.

AB - The friendship paradox, proved by Feld in 1991, states that "on average, your friends have more friends than you do." In fact, Feld proved two versions of the paradox. We discuss generalizations of each of them that talk about the average number of friends that, for instance, a friend of a friend of a friend of a friend has.

UR - https://www.scopus.com/pages/publications/84994149351

U2 - 10.4169/amer.math.monthly.123.9.900

DO - 10.4169/amer.math.monthly.123.9.900

M3 - Review article

AN - SCOPUS:84994149351

SN - 0002-9890

VL - 123

SP - 900

EP - 908

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 9

ER -

The multistep friendship paradox

Abstract

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