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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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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