/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 32 In your own words, describe Hami... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 32

In your own words, describe Hamilton's method of apportionment.

Short Answer

Expert verified
Hamilton's method of apportionment is a system for allocating representatives based on population. It divides the total population by the total number of representatives to calculate a standard divisor and then applies this divisor to each state's or region's population to calculate a quota ensuring fair representation. The fractional parts are ignored during initial allocations and the remaining seats are distributed based on priority values.

Step by step solution

01

Understand Hamilton's Method

Hamilton's method of apportionment is a system of allocating delegates or seats based on populations. Named after Alexander Hamilton, it was the first method used by the U.S. government to distribute Congressional seats among the states. Hamilton's method divides the total population by the total number of representatives or seats to calculate a standard divisor. This divisor is then used as a common denominator to calculate quotas for each state or region, ensuring the apportionment is balanced out to reflect the population.
02

Execution of Hamilton's Method

Initially, each state's population is divided by the standard divisor and the whole number value is taken, giving the initial allocation of seats. Generally, these initial allocations do not distribute all available seats since fractions are removed when rounding down. The remaining seats are then awarded to states based on their priority numbers, which is computed by dividing the state鈥檚 population by the geometric mean of seats already won and the next seat, until all the available seats are distributed. This ensures that the distribution amongst the states is proportionate to their population sizes.
03

Hamilton's Method in Practice

Hamilton's method can sometimes cause the paradoxical situation, but it is one of the more widely used methods due to its simplicity and effectiveness in distributing representatives. It's practical in terms of managing representation allocation in line with population sizes.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adams's method with \(d=108\) to apportion the shares of stock. $$ \begin{array}{|l|c|c|c|c|} \hline \text { Person } & \text { A } & \text { B } & \text { C } & \text { D } \\ \hline \text { Contribution } & \$ 2013 & \$ 187 & \$ 290 & \$ 3862 \\ \hline \end{array} $$

A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table. Congress will have 400 seats, divided among the four states according to their respective populations. Use Jefferson's method with \(d=7.82\) to apportion the 400 congressional seats.$$ \begin{array}{|l|c|c|c|c|} \hline \text { State } & \text { A } & \text { B } & \text { C } & \text { D } \\\ \hline \begin{array}{l} \text { Population } \\ \text { (in thousands) } \end{array} & 424 & 664 & 892 & 1162 \\ \hline \end{array} $$

Throughout this Exercise Set, in computing standard divisors, standard quotas, and modified quotas, round to the nearest hundredth when necessary. A small country is comprised of four states, \(A, B, C\), and \(D\). The population of each state, in thousands, is given in the following table. Use this information to solve Exercises $1-4 . $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { State } & \text { A } & \text { B } & \text { C } & \text { D } & \text { Total } \\ \hline \begin{array}{l} \text { Population } \\ \text { (in thousands) } \end{array} & 138 & 266 & 534 & 662 & 1600 \\ \hline \end{array} $$ According to the country's constitution, the congress will have 80 seats, divided among the four states according to their respective populations. a. Find the standard divisor, in thousands. How many people are there for each seat in congress? b. Find each state's standard quota. c. Find each state's lower quota and upper quota.

Make Sense? In Exercises 49-52, determine whether each statement makes sense or does not make sense, and explain your reasoning. A candidate has a majority of the vote, yet lost the election using the plurality method.

Three candidates, A, B, and \(\mathrm{C}\), are running for mayor. Election rules stipulate that the pairwise comparison method will determine the winner. In the event that the pairwise comparison method leads to a tie, the Borda count method will decide the winner. The election results are summarized in the following preference table. Under these rules, which candidate becomes the new mayor? $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { Number of Votes } & \mathbf{6 0 , 0 0 0} & \mathbf{4 0 , 0 0 0} & \mathbf{4 0 , 0 0 0} & \mathbf{2 0 , 0 0 0} & \mathbf{2 0 , 0 0 0} \\ \hline \text { First Choice } & \text { A } & \text { C } & \text { B } & \text { A } & \text { C } \\ \hline \text { Second Choice } & \text { B } & \text { A } & \text { C } & \text { C } & \text { B } \\ \hline \text { Third Choice } & \text { C } & \text { B } & \text { A } & \text { B } & \text { A } \\ \hline \end{array} $$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.