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Finding a Fair Division of Rent: An Application of Sperner's Lemma
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Finding a Fair Division of Rent: An Application of Sperner's Lemma
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Description
Title
Finding
a
Fair
Division
of
Rent
: An
Application
of
Sperner's
Lemma
Author(s)
Tinker
,
Laura
Abstract
When
getting
a
new
apartment
with
friends
,
many
people
experience
the
problem
of
dividing
rooms
and
rent
so
that
everyone
is
happy
. In his
paper
entitled
Rental
Harmony
:
Sperner’s
Lemma
in
Fair
Division
,
Dr
.
Francis
Edward
Su
tackled
this
problem
using
a
simple
combinatorial
lemma
,
Sperner’s
Lemma
. The
application
of this
lemma
yields
a
method
for
choosing
rooms
and
determining
an
agreed
upon
and
fair
rent
share
for
each
participant
. This
presentation
is
a
general
review
of
fair
division
, a
discussion
of
Su’s
rental
harmony
application
and how this
research
can
be
used
in the
future
projects
.
Subject (LC)
Sperner theory
Research affiliation
Arthur Olsen Research Symposium
Collection
Augustana Student Research
Date
2015
Rights
This image may not be reproduced without the express written consent of Augustana University, Sioux Falls, South Dakota, USA.
Type
Presentation
Medium
PowerPoint
Format - Digital
pdf
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