G180 Module 05 Assignment 1: A Group Of Students Were Asked

G180 Module 05 Assignment1 A Group Of Students Were Asked To Vote On

G180 Module 05 Assignment1 A Group Of Students Were Asked To Vote On

G180 Module 05 Assignment 1. A group of students were asked to vote on their favorite horror films. The candidate films are: Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The following table gives the preference schedule for the election. Use the pairwise-comparisons method to find the winner of the election.

2. Three players (April, Brandy, and Cindy) are sharing a cake. Suppose that the cake is divided into three slices (s1, s2, s3). The following table gives the value of each slice in the eyes of each of the players. (A fair share would be 1/3 = .333 = 33.3% or greater.)

Slices and values:

• April: s1 = $4.50, s2 = $5.50, s3 = $5.00
• Brandy: s1 = $5.50, s2 = $5.25, s3 = $5.00
• Cindy: s1 = $5.60, s2 = $5.00, s3 = $5.00

a) Which of the three slices are fair shares to April?

b) Which slices are fair shares to Brandy?

c) Which slices are fair shares to Cindy?

d) Find a fair division of cake using S1, S2, and S3 as fair shares. If this is not possible, explain why not.

3. Three players (Adam, Bob, and Chad) are sharing a cake. Suppose that the cake is divided into three slices (s1, s2, s3). The percentages represent the value of each slice as a percent of the total cake value. (A fair share would be 1/3 = .333 = 33.3% or greater.)

Slices and percentages:

• Adam: s1 = 30%, s2 = 50%, s3 = 20%
• Bob: s1 = 32%, s2 = 36%, s3 = 32%
• Chad: s1 = 30%, s2 = 35%, s3 = 35%

a) Which slices are fair shares to Adam?

b) Which slices are fair shares to Bob?

c) Which slices are fair shares to Chad?

d) Find the fair division of the cake, using s1, s2, and s3 as fair shares. If this is not possible, explain why not.

Labor Unions in the 21st Century! The AFL-CIO is an umbrella organization representing nearly 60 affiliated unions for much of the labor union movement in the United States.

These affiliated unions are independent labor organizations.

1. Go to the AFL-CIO webpage and summarize three major issues the AFL-CIO advocates for their members.

2. Under the About AFL-CIO tab, choose AFL-CIO Unions, scroll through the list, and find one affiliated AFL-CIO union. Summarize three major issues this affiliated union advocates for their specific union members.

3. Given your research of the AFL-CIO and an affiliated union, are the issues being advocated relevant in a global, digital economy?

Paper For Above instruction

The assignment encompasses multiple components, including voting procedures for selecting the most favored horror film using pairwise comparisons, fair division of cake among individuals based on their valuations, and an analysis of labor union issues in the context of the 21st-century economy. This comprehensive task demands application of social choice theory, fair division principles, and contemporary labor issues analysis, integrating both quantitative and qualitative methodologies.

Voting on Favorite Horror Films Using Pairwise Comparison

The initial part of the assignment involves determining the winner among four horror films—Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow—through pairwise comparison. This method involves comparing each candidate head-to-head against every other candidate based on the preference schedule. The schedule likely reflects voters' preferences, compiled into a matrix that indicates the number of voters favoring one film over another in each pairing.

Implementing the pairwise comparison involves constructing a comparison matrix and tallying votes for each pairing. For example, comparing Abraham Lincoln Vampire Hunter (A) to The Babadook (B), we count how many voters prefer A over B, and vice versa. The candidate that wins the most pairwise matches is typically deemed the winner, aligning with the concepts of the Condorcet method. It is crucial to analyze all pairings: A vs. B, A vs. C, A vs. D, B vs. C, B vs. D, and C vs. D, to identify if a Condorcet winner exists or if a cycle occurs.

These comparisons reveal the candidate with the majority preference in each pairing, ultimately determining the most preferred film according to voters' collective preferences.

Fair Division of Cake Based on Valuations

The second and third parts of the assignment focus on the fair division problem, where each individual assigns subjective monetary values to each of the three cake slices. The goal is to identify which slices constitute a fair share for each individual, defined as at least one-third (33.3%) of their total valuation of the entire cake. The valuations are expressed in dollar amounts for April, Brandy, and Cindy, and as percentages for Adam, Bob, and Chad.

In the first valuation scenario, the analysis involves calculating whether each slice meets the threshold of a fair share for the respective individual. For example, for April, the total value of all slices is $4.50 + $5.50 + $5.00 = $15.00. Since a fair share is at least one-third of this total (approximately $5.00), slices valued at $5.00 or more qualify as fair shares for April.

The same approach applies to Brandy and Cindy, comparing slice valuations to their respective share thresholds. Similarly, in the percentage-based valuations, the same logic applies—slices valued at at least 33.3% of the total are considered fair shares. After identifying fair shares, the next step involves seeking an allocation that assigns slices such that each individual receives at least their fair share, if possible. If conditions prevent an equitable division, an explanation regarding the impossibility is required.

Analysis of Labor Unions in the 21st Century

The final segment involves an exploration of contemporary labor union issues, focusing on the AFL-CIO and one affiliated union. This requires online research into the AFL-CIO’s major advocacy issues—such as workers' rights, wages and benefits, and workplace safety—and then a deeper look into a specific union’s priorities within these domains. The student must analyze the relevance of these issues in a modern, digital, and globalized economy. This portion emphasizes understanding how labor advocacy adapts to economic and technological changes, ensuring workers' rights are protected amid evolving industry landscapes.

Conclusion

This comprehensive assignment integrates voting theory, fair division principles, and labor economics, demanding analytical skills, mathematical calculations, critical research, and synthesis of information. Successfully addressing each component entails methodical application of theoretical models and contemporary context analysis, providing insights into decision-making processes, equitable resource distribution, and ongoing labor advocacy in a changing economic environment.

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