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Articles

A Simple Algorithm for Drawing Apportionment Diagrams

Pages 22-32 | Received 22 Jan 2021, Accepted 15 Nov 2022, Published online: 23 Jan 2023
 

Abstract

This article gives an algorithm that will build an apportionment diagram for any apportionment method when there are three states. We then provide several images that are produced by the algorithm and discuss what these images can reveal about the given apportionment method.

Acknowledgment

Thank you to Graham Chambers-Wall, who taught me how to create images using Python. Thank you also to an anonymous referee whose suggestions improved the article.

Additional information

Notes on contributors

David McCune

David McCune ([email protected]) received his Ph.D. in algebra from the University of Nebraska-Lincoln in 2011. He is an Associate Professor at William Jewell College in Liberty, MO, where he has taught since 2012. These days he enjoys thinking about problems in mathematical political science, focusing on social choice theory and apportionment.

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