Delegate apportionment in the US presidential primaries : a mathematical analysis / Michael A. Jones, David McCune, Jennifer M. Wilson.
2023
JK1341 .J66 2023
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Title
Delegate apportionment in the US presidential primaries : a mathematical analysis / Michael A. Jones, David McCune, Jennifer M. Wilson.
ISBN
9783031249549 electronic book
3031249542 electronic book
3031249534
9783031249532
3031249542 electronic book
3031249534
9783031249532
Published
Cham, Switzerland : Springer, [2023]
Language
English
Description
1 online resource (xvii, 215 pages) : illustrations (black and white).
Item Number
10.1007/978-3-031-24954-9 doi
Call Number
JK1341 .J66 2023
Dewey Decimal Classification
328.73073455
Summary
This book provides a comprehensive mathematical description and analysis of the delegate allocation processes in the US Democratic and Republican presidential primaries, focusing on the role of apportionment methods and the effect of thresholds the minimum levels of support required to receive delegates. The analysis involves a variety of techniques, including theoretical arguments, simplicial geometry, Monte Carlo simulation, and examination of presidential primary data from 2004 to 2020. The book is divided into two parts: Part I defines the classical apportionment problem and explains how the implementation and goals of delegate apportionment differ from those of apportionment for state representation in the US House of Representatives and for party representation in legislatures based on proportional representation. The authors then describe how delegates are assigned to states and congressional districts and formally define the delegate apportionment methods used in each state by the two major parties to allocate delegates to presidential candidates. Part II analyzes and compares the apportionment methods introduced in Part I based on their level of bias and adherence to various notions of proportionality. It explores how often the methods satisfy the quota condition and quantifies their biases in favor or against the strongest and weakest candidates. Because the methods are quota-based, they are susceptible to classical paradoxes like the Alabama and population paradoxes. They also suffer from other paradoxes that are more relevant in the context of delegate apportionment such as the elimination and aggregation paradoxes. The book evaluates the extent to which each method is susceptible to each paradox. Finally, it discusses the appointment of delegates based on divisor methods and notions of regressive proportionality. This book appeals to scholars and students interested in mathematical economics and political science, with an emphasis on apportionment and social choice theory.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on April 25, 2023).
Added Author
McCune, David, author.
Wilson, Jennifer M. author.
Wilson, Jennifer M. author.
Series
Studies in choice and welfare.
Available in Other Form
DELEGATE APPORTIONMENT IN THE US PRESIDENTIAL PRIMARIES.
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Table of Contents
Part I. Description of Delegate Allocation Rules
Chapter 1. Apportionment in the US Presidential Primaries
Chapter 2. The Democratic Party Primary
Chapter 3. The Iowa and Nevada Democratic Caucuses
Chapter 4. The Republican Party Primary
Part II. Analysis of Delegate Allocation Rules
Chapter 5. Properties of the Apportionment Methods used in the Primaries
Chapter 6. Paradoxes
Chapter 7. Exploring Alternative Ways to Allocate Delegates.
Chapter 1. Apportionment in the US Presidential Primaries
Chapter 2. The Democratic Party Primary
Chapter 3. The Iowa and Nevada Democratic Caucuses
Chapter 4. The Republican Party Primary
Part II. Analysis of Delegate Allocation Rules
Chapter 5. Properties of the Apportionment Methods used in the Primaries
Chapter 6. Paradoxes
Chapter 7. Exploring Alternative Ways to Allocate Delegates.