HW3. Again the candidates in an election are Ann (A), Bob (B), Claire (C), and Dave (D), and
the resulting preference table is as follows:
# of voters:
1st choice
2nd choice
3rd choice
4th choice
7
B
1
Voting Theory
Throughout this chapter we study elections involving several candidates. From our ordinary
experience with elections, we are accustomed to think of voting as voting for a single candid
Math 103, Spring 2011, Solutions to Chapter 1 homework
25 total points constitute a perfect score
Problem 12: 6 points
The plurality method requires us to examine first place votes, and only first pla
Math 103, Fall 2016
Solutions to homework on Fair Division
Fair Division HW1. Four siblings, Wendy, Xavier, Yolanda, and Zachary, inherit a house.
Suppose that
Wendy considers the house to be worth $4
1.Read Section 3.7 The Method of Markers
Homework to be discussed in class.
2. Can you predict under what circumstances there will be no surplus
in the method of sealed bids? Please e-mail the answer
Math 103: Topics in Math for the Liberal Arts, Spring 2017 Hybrid Section 08
Prerequisite: Elementary Algebra at the level of Rutgers Math 025, or equivalent.
A real mastery of elementary algebra and
HW2. This problem looks again at the weighted voting system in HW1, which was
[12: 9, 4, 3, 2], and considers the effect of changing the quota but leaving all the weights
unchanged. We will call the 4
HW2. This problem looks again at the weighted voting system in HW1, which was
[12: 9, 4, 3, 2], and considers the effect of changing the quota but leaving all the weights
unchanged. We will call the 4
Math 103 Spring 2015, Voting Theory Assignment 1 - Solutions
Please remember to use complete English sentences when writing your solutions.
See the document How to submit assignments in Sakai in the R
Chapter 2 Homework 2, 3, 7, 8, and 9
HW2) This problem looks again at the weighted voting system in HW1, which was [12: 9, 4,
3, 2], and considers the effect of changing the quota but leaving all the
Assignment 4
(Covering material from 4.1 4.5 + ME1)
1. The Placerville General Hospital has a nursing staff of 225 nurses working in four shifts A
(7am to 1 pm), B (1pm to 7pm), C (7pm to 1am), and D
Math 103 Spring 2013, homework for chapter 1
Please remember to use complete English sentences when writing your solutions.
See the document How to submit assignments in Sakai in the Resources folder
Math 103, Spring 2015, Measuring Power Assignment 1 Solutions
HW1. Consider the weighted voting system [12: 9, 4, 3, 2].
a. Write out all winning coalitions for this weighted voting system, and underl
The Mathematics of Sharing
There are 5 problems that we will discuss in class on Tuesday, March 8.
Homework to be discussed in class on Tuesday, March 8.
Problem 1. Divider-chooser problem:
Supp 3.1.
Math 103, Spring 2013, Homework for chapter 4: Mathematics of Apportionment
1. (Based on chapter 4 problem #4 in the textbook) The Placerville General Hospital has a
nursing staff of 225 nurses workin
Math 103, Spring 2015
Solutions for Fair Distribution Assignment 2
HW4. Ann (A), Bob (B), Claire (C), and Dave (D) use the method of markers to divide a
collection of 15 albums, labeled by letters L t
Math 103, Spring 2013, homework SOLUTIONS for chapter 3 (Mathematics of Sharing)
1. Martha and Nick share the rights to use a certain store location, but they have separate
businesses, and only one ca
Math 103
Exam #2-Solutions
April 19, 2011
There are 11 problems and 2 extra credit problem.
Good luck and have fun! Show me all youve learned !
1. 10 points
Alex, Judy, and Lois are dividing the 18 in
Homework 1B
(covering material from 1.3-1.5)
The following question, and most of the questions for this chapter, pertains to an election which
is held to select the president of an organization. The c
Math 103
Exam #2
April 19, 2011
Name_
There are 11 problems and 2 extra credit problem.
Good luck and have fun! Show me all youve learned !
1. 10 points
Alex, Judy, and Lois are dividing the 18 inch l
1
Measuring Power
We turn our attention in this chapter from the candidates to the voters, some of whom may cast more
votes than others, and thereby possess more power than others. This inequality mig
Math 103:15/11, Spring 2015
Fair Division Assignment 1
HW1. Martha and Nick share the rights to use a certain store location, but they have separate
businesses, and only one can use the space at a tim
1
FAIR DIVISION
Suppose that you and I have a chocolate cake with vanilla icing to divide between the two of us. We have equal
claims to it, so what do we do? The usual answer is Just divide it i
Math 103, Spring 2011, Solutions to Chapter 3A homework
Problem 12:
The given table is completed by using the fact that each partner values the entire piece of land at
$400,000. This implies that each
Math 103 Section 11
Chapter 4 Quiz
Name_
February 25, 2011
10 points
1. A small city operates four bus routes which it calls W, X, Y, and Z, and owns 30 buses. The town decides to
apportion the buses
Math 103, Spring 2013, Homework on Weighted Voting Systems Solutions
1. [Suggested warm-ups from the textbook for this homework problem are #11, 13, 15, and 17]
Consider the weighted voting system [12
Assignment 3A
(Covering material from 3.1 3.4)
[Warmup problems in the book: #15, 17]
1. Martha and Nick share the rights to use a certain store location, but they have separate busi nesses, and only
Math 103: Section 11
12, 2011
April
Review for Exam #2 which includes Chapters 3, 10, and 5
You should review the following topics.
Chapter 3
Continuous fair division games: Fair shares
Methods are th
Math 103, Section 11
Exam #1
March 4, 2011
Name_
Please show me all youve learned in the course so far! I know youll do very well!
Please show your work. There are 9 problems and 2 extra credit proble
Math 103:03/04, Fall 2017
Measuring Power Assignment 1
HW1. Consider the weighted voting system [12: 9, 4, 3, 2].
a. (4 points) Write out all winning coalitions for this weighted voting system, and
un
Math 103:03/04, Fall 2017
Fair Division Assignment 1
Fair Division HW1. Four siblings, Wendy, Xavier, Yolanda, and Zachary, inherit a house.
Suppose that
Wendy considers the house to be worth $400,000
Math 103:03/04, Fall 2017
Apportionment Assignment 1
Apportionment HW1. The Gesundheit Hospital has a nursing staff of 400 nurses working in
four shifts:
Morning (6am 12pm)
Afternoon (12pm 6pm)
Evenin
Math 103:03/04, Fall 2017
Solutions to Quiz 2 Measuring Power
Name: _
Date: _
Consider a simplified version of the UN Security Council in which there are six players (council
members) P1, P2, P3, P4,