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assignment Nível: Introdutório
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Informações principais

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Sobre o conteúdo

Learn about different voting methods and fair division algorithms, and explore the problems that arise when a group of people need to make a decision.

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Programa de estudos

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

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Instrutores

• - Philosophy
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The University of Maryland is the state's flagship university and one of the nation's preeminent public research universities. A global 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 the national academies and scores of Fulbright scholars. The institution has a \$1.8 billion operating budget, secures \$500 million annually in external research funding and recently completed a \$1 billion fundraising campaign.

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Plataforma

A Coursera é uma empresa digital que oferece um curso on-line massivo e aberto, fundado pelos professores de computação Andrew Ng e Daphne Koller Stanford University, localizado em Mountain View, Califórnia.

O Coursera trabalha com as melhores universidades e organizações para disponibilizar alguns dos seus cursos on-line e oferece cursos em várias disciplinas, incluindo: física, engenharia, humanidades, medicina, biologia, ciências sociais, matemática, negócios, ciência da computação, marketing digital, ciência de dados. e outros assuntos.Cours

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