Overview
Explore the intricacies of voting systems and electoral processes in this 30-minute lecture from Wondrium. Delve into the paradoxical outcomes of elections at various levels, from national to local. Examine Kenneth Arrow's Nobel prize-winning impossibility theorem and evaluate the U.S. Electoral College system, known for its counter-intuitive results. Discover how mathematics plays a crucial role in determining voter will and uncover the complexities of different voting methods for scenarios with three or more candidates. Analyze real-world examples, including the Adam Clayton Powell incident, and learn about the application of six different voting systems to a single election. Gain insights into Arrow's Theorem and its mathematical proof, and conclude with an exploration of the puzzling Chairs Paradox. This thought-provoking lecture challenges conventional understanding of democratic processes and highlights the intricate relationship between mathematics and politics.
Syllabus
Arrow´s Theorem and Paradoxes in Politics
The Reality of the Electoral College
Counterintuitive Nature of the US Electoral System
May´s Theorem Leads to Condorcet´s Paradox
Election Methods for Three or More Candidates
The Adam Clayton Powell Incident
Analyzing an Election With Six Voting Systems
Arrow's Theorem and Mathematical Proof
The Bizarre Chairs Paradox
Taught by
Wondrium