# Making Better Group Decisions: Voting, Judgement Aggregation and Fair Division

Course
en
English
7 h
This content is rated 0 out of 5
Source
• From www.coursera.org
Conditions
• Self-paced
• Free Access
• Free certificate
• 7 Sequences
• Introductive Level

## Course details

### Syllabus

Week 1:  Voting Methods
The Voting Problem
A Quick Introduction to Voting Methods (e.g., Plurality Rule, Borda Count,
Plurality with Runoff, The Hare System, Approval Voting)
Preferences
How Likely is the Condorcet Paradox?
Condorcet Consistent Voting Methods
Approval Voting
Combining Approval and Preference

Choosing How to Choose
Should the Condorcet Winner be Elected?
Failures of Monotonicity
Spoiler Candidates and Failures of Independence
Failures of Unanimity
Optimal Decisions or Finding Compromise?
Finding a Social Ranking vs. Finding a Winner

Week 3: Characterizing Voting Methods
Classifying Voting Methods
The Social Choice Model
Anonymity, Neutrality and Unanimity
Characterizing Majority Rule
Characterizing Voting Methods
Five Characterization Results
Distance-Based Characterizations of Voting Methods
Arrow's Theorem
Proof of Arrow's Theorem
Variants of Arrow's Theorem

Week 4: Topics in Social Choice Theory
Introductory Remarks
Domain Restrictions: Single-Peakedness
Sen’s Value Restriction
Strategic Voting
Manipulating Voting Methods
Lifting Preferences
The Gibbard-Satterthwaite Theorem

Week 5: Aggregating Judgements
Voting in Combinatorial Domains
The Condorcet Jury Theorem
The Judgement Aggregation Model
Properties of Aggregation Methods
Impossibility Results in Judgement Aggregation
Proof of the Impossibility Theorem(s)

Week 6: Fair Division
Introduction to Fair Division
Fairness Criteria
Efficient and Envy-Free Divisions
Finding an Efficient and Envy Free Division
Help the Worst Off or Avoid Envy?

Week 7:  Cake-Cutting Algorithms
The Cake Cutting Problem
Cut and Choose
Equitable and Envy-Free Proocedures
Proportional Procedures
The Stromquist Procedure
The Selfridge-Conway Procedure
Concluding Remarks

None.

• - Philosophy

### Editor

The University of Maryland is the state's flagship university and one of the nation's leading public research universities. A world leader in research, entrepreneurship and innovation, the university is home to more than 37,000 students, 9,000 faculty and staff, and 250 academic programs.

Its faculty includes three Nobel laureates, three Pulitzer Prize winners, 47 members of national academies and a large number of Fulbright scholars. The institution has an operating budget of \$1.8 billion, raises \$500 million a year in external research funding and recently completed a \$1 billion fundraising campaign.

### Platform

Coursera is a digital company offering massive open online course founded by computer teachers Andrew Ng and Daphne Koller Stanford University, located in Mountain View, California.

Coursera works with top universities and organizations to make some of their courses available online, and offers courses in many subjects, including: physics, engineering, humanities, medicine, biology, social sciences, mathematics, business, computer science, digital marketing, data science, and other subjects.

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