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The Mathematics of Democracy, Politics and Manipulation · LearnSpace
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The Mathematics of Democracy, Politics and Manipulation

Курс от Johns Hopkins University
Уровень не указан≈ 24.4 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Welcome to The Mathematics of Politics, Democracy, and Manipulation, an inspiring course that explores the intricate landscape of democracy and decision-making. In today's world, understanding the mechanisms that shape our electoral systems and influence democratic outcomes is more crucial than ever. This comprehensive course delves deep into five key pillars of electoral theory and practice, empowering participants with the knowledge and tools to navigate the complexities of voting and representation. Voting Theory: Discover the theoretical foundations of voting systems, from classic methods like plurality voting to innovative approaches such as ranked-choice and approval voting. Explore the principles of fairness, efficiency, and representation that underpin different voting methods, and gain insights into their real-world applications and implications. US Electoral College: Journey through the history, mechanics, and controversies of the United States Electoral College. Unravel the mysteries of presidential elections, from the allocation of electoral votes to the winner-takes-all system, and examine the impact of the Electoral College on American politics and governance. Weighted Voting: Unlock the secrets of weighted voting systems and their role in decision-making. From corporate boards to international organizations, explore how weighted voting structures allocate power and influence, and learn how to analyze and evaluate the distribution of voting power within diverse coalitions. Apportionment: Delve into the principles and practices of apportionment, the process of allocating political representation. Examine the challenges of balancing population equality, geographic representation, and minority rights, and explore the methodologies used to divide legislative seats in democratic societies. Gerrymandering: Confront the complexities and controversies of electoral boundary manipulation. Investigate the tactics and consequences of gerrymandering, from partisan bias to minority vote dilution, and explore strategies for promoting fairness, transparency, and integrity in electoral processes. Through engaging lectures, interactive discussions, and hands-on exercises, participants will develop a deep understanding of voting theory, electoral processes, and the challenges facing modern democracies. Whether you're a student, a policymaker, or a concerned citizen, join us on this transformative journey as we work towards a more inclusive, equitable, and vibrant democracy for all.

Навыки, которые вы освоите

Political SciencesMathematics and Mathematical ModelingGame TheoryDecision IntelligenceCombinatoricsPublic AffairsSocial SciencesDemographyPolicy AnalysisGeneral MathematicsSocial JusticePublic PoliciesApplied MathematicsGovernanceMathematical ModelingDiversity AwarenessSocial Studies

Программа курса

8 модулей · 78 учебных материалов

01Introduction to Voting Theory7 материалов

Introduction to Voting Systems

1.1 Introduction to ElectionsВидеоElection VocabularyЧтениеTwo-Candidate Voting SystemsЧтение

What Makes a Voting System Fair?

1.2: First Criterion and May's TheoremВидео

Учитесь у экспертов

Joseph W. Cutrone, PhD

Associate Teaching Professor and Director of Online Programs

The Mathematics of Democracy, Politics and Manipulation
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≈ 24.4 ч

8 модулей

Язык: Английский

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Fairness Criteria and May's TheoremЧтение

Assessments

Introduction to Voting TheoryЗаданиеFairness and Majority RuleОбсуждение
02Other Voting Methods and Criteria16 материалов

Plurality and Majority

1.3: Ballots, Majority, and Plurality MethodВидеоTypes of ElectionsЧтениеMajority and PluralityЧтениеThe Plurality MethodЗадание

The Borda Count

1.4: Borda Count MethodВидеоBorda Count MethodЧтениеThe Borda CountЗадание

Plurality with Elimination

1.5: Plurality with EliminationВидеоPlurality with EliminationЧтениеPlurality with EliminationЗадание

Pairwise Comparisons

1.6 Method of Pairwise ComparisonsВидеоMethod of Pairwise ComparisonsЧтениеMore Criteria for FairnessЧтениеPairwise ComparisonsЗадание

Assessments

Other Voting Methods and CriteriaЗаданиеThe Borda CountОбсуждение
03The Complexities of Voting6 материалов

Independence of Irrelevant Alternatives

1.7 - Independence of Irrelevant Alternatives CriterionВидеоIIA and More Social Choice CriteriaЧтение

Arrow's Impossibility Theorem

1.8 - Arrow's Impossibility TheoremВидеоArrow's Impossibility TheoremЧтение

Assessments

The Complexities of VotingЗаданиеArrow's TheoremОбсуждение
04Weighted Voting Systems7 материалов

Introduction to Weighted Voting Systems

Introduction to Weighted Voting SystemsВидеоIntroduction to Weighted Voting SystemsЧтение

Banzhaf Power Index

Banzhaf PowerВидеоBanzhaf PowerЧтениеAnalyzing Weighted Voting SystemsЗадание

Assessments

Weighted Voting and Banzhaf PowerЗаданиеWeighted Voting SystemsОбсуждение
05Shapley-Shubik Power Index7 материалов

Set Theory and Combinatorics

A Bit of Set Theory and CombinatoricsЧтениеBasic CombinatoricsЗадание

Shapley-Shubik Power Index

Shapley-Shubik Power IndexВидеоShapley-Shubik PowerЧтениеFinding Shapley-Shubik PowerЗадание

Assessments

Coalitions and Shapley-Shubik PowerЗаданиеOther Power IndicesОбсуждение
06The United States Electoral College8 материалов

Electoral College

Introduction to the US Electoral CollegeВидеоThe US Electoral CollegeЧтениеChanges in Electoral VotesЗадание

Analyzing the Electoral College

Analysis of the US Electoral CollegeВидеоPower in the Electoral CollegeЧтение2016 Presidential ElectionЗадание

Assessments

The Electoral CollegeЗаданиеCritiquing the Electoral CollegeОбсуждение
07Apportionment17 материалов

Introduction to Apportionment Problems

Introduction to Apportionment ВидеоIntroduction to ApportionmentЧтение

Hamilton's Method

Hamilton's Method and its ParadoxesВидеоHamilton's MethodЧтениеApportionment ParadoxesЧтениеHamilton's MethodЗадание

Divisor Methods: Jefferson, Adams, Webster

Divisor Methods: Jefferson, Adams, and WebsterВидеоDivisor Methods: Jefferson, Adams, and WebsterЧтениеThe Quota RuleЧтениеDivisor MethodsЗадание

The Huntington-Hill Method

The Huntington-Hill MethodВидеоThe Huntington-Hill MethodЧтениеHuntington-Hill MethodЗадание

Criteria & Impossibility

Criteria, Paradoxes, and ImpossibilityЧтениеCriteria, Paradoxes, and ImpossibilityВидео

Assessments

ApportionmentЗаданиеOther Apportionment MethodsОбсуждение
08Gerrymandering10 материалов

Introduction to Gerrymandering

Districting and GerrymanderingВидеоGuidelines for DistrictingВидеоGerrymanderingЧтение

How Not to Spot Gerrymandering

Compactness and GeometryВидеоCompactnessЧтениеPartisan Symmetry and the Efficiency GapВидеоPartisan Symmetry and the Efficiency GapЧтениеSummary and Final RemarksВидео

Assessments

GerrymanderingЗаданиеGerrymandering in ActionОбсуждение