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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.
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Witch (Paperback)
Jennifer M Wilson
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R681
Discovery Miles 6 810
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Ships in 10 - 15 working days
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This is the life story of Bridget Bishop, the first woman executed
for witchcraft in Salem in 1692. At the time of her death, she was
one of the most prosperous tavern owners in the colonies. Here is
an account of the journey she traveled - through three marriages,
the birth of a daughter, extremes of both poverty and wealth, and
accusations of murder and witchcraft. It is the story of one woman,
living life on her own terms, and discovering for herself the
varied meanings of heaven and hell.
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