The paradox of voting, also called Downs' paradox, is that for a rational, self-interested voter, the costs of voting will normally exceed the expected benefits. Because the chance of exercising the pivotal vote is minuscule compared to any realistic estimate of the private individual benefits of the different possible outcomes, the expected benefits of voting are less than the costs. Responses to the paradox have included the view that voters vote to express their preference for a candidate rather than affect the outcome of the election, that voters exercise some degree of altruism, or that the paradox ignores the collateral benefits associated with voting besides the resulting electoral outcome. (Wikipedia).
Democracy is mathematically impossible.
Determining the "will of majority" is badly defined. Why should we believe the two- round voting system if there are many other ways to quantify people's preferences ? In this video I discuss the manipulations, paradoxes and other problems associated with the mathematics of voting. My
From playlist Something you did not know...
Apportionment: The Population Paradox
The video explains the population paradox and provides an example of the population paradox. Site: http://mathispower4u.com
From playlist Apportionment
Voting & the Electoral College: Logic, Riddles, & Paradoxes in Math and History | Brain Teasers
Learn more about this course and start your FREE trial here: https://wondrium.com/youtube/lp/t2/math?utm_source=Video&utm_medium=Youtube&utm_campaign=149651 In this lecture, learn that determining the will of the voters can require a mathematician. Delve into paradoxical outcomes of elect
From playlist Math and Statistics
(New Version Available) Introduction to Voting Theory and Preference Tables
Updated Version: https://youtu.be/WdtH_8lAqQo This video introduces voting theory and explains how to make a preference table from voting ballots. Site: http://mathispower4u.com
From playlist Voting Theory
Is Democracy Impossible? (Arrow's Theorem)
Whether we're deciding our next president or what to eat for lunch, voting is the pinnacle of our democracy. Or is it? Voters have felt increasingly dissatisfied and disenfranchised, but what if the problem is with the way we vote? In this video, we take a look at one of the most incredibl
From playlist Voting and Election Reform
Math for Liberal Studies - Lecture 2.1.2 Plurality and Majority
This is the second video lecture for Math for Liberal Studies Section 2.1: Controversial Elections. In this video, I define the terms "plurality" and "majority," and discuss the "plurality method" for determining the winner of an election.
From playlist Math for Liberal Studies Lectures
Voting Paradoxes and Combinatorics | Noga Alon
Noga Alon, Baumritter Professor of Mathematics and Computer Science, Tel Aviv University; Visiting Professor (2005--06, 2008, 2010--11), School of Mathematics, Institute for Advanced Study http://www.tau.ac.il/~nogaa/ October 13, 2010 The early work of Condorcet in the eighteenth century
From playlist Mathematics
Gérard Grancher : Démocratie, dictature ... et mathématiques
Résumé : Le principe de décision en démocratie consiste à produire, de l'expression des opinions individuelles, un consensus. Il existe de multiples procédures pour passer des unes à l'autre variant suivant les pays, les jurys... Le Président n'est pas élu de la même façon en France, aux U
From playlist Services numériques pour les mathématiques
Paradoxes of Equality - Ronald Dworkin (1982)
Ronald Dworkin gives a talk on equality and explores it in depth beginning with a discussion of some of the difficult issues in describing equality. This talk was given in 1982 at Queen's University in the Chancellor Dunning Trust Lecture series. 00:00 Intro Story 02:29 Lecture #Philosop
From playlist Social & Political Philosophy
The Conservative Paradox and Median Justice Location
How Mathematica: (1) establishes the existence of an unexpected phenomenon in a dataset (Supreme Court Database); (2) combines this dataset with a different one (Martin & Quinn, justice's ideal points estimates); (3) explores alternative ways that 5-member coalitions may form based on ideo
From playlist Wolfram Technology Conference 2021
Enjoying the lectures? Come join Prof. Ayres' on Coursera! Enrolling in his course will allow you to join in discussions with fellow learners, take assessments on the material, and earn a certificate! Link - https://www.coursera.org/learn/law-student Whether you are an advanced law studen
From playlist A Law Student's Toolkit
Math for Liberal Studies - Lecture 2.3.2 The Condorcet Winner Criterion
This is the second video lecture for Math for Liberal Studies Section 2.3: The Condorcet Method. In this lecture, I discuss a major flaw with Condorcet's method: the "Condorcet paradox." I also discuss how Condorcet's method can be used as a "fairness test" for other election methods.
From playlist Math for Liberal Studies Lectures
How to Abolish the Electoral College (National Popular Vote Interstate Compact)
2016 joins four other years in which the winner of the election lost the popular vote. Our democracy is meant to strive for one person, one vote, but the electoral college makes some people matter more than others, and allows less popular candidates to win. However, we can get rid of the e
From playlist Voting and Election Reform
This video aims to introduce social choice theory and give an example justifying both why making group choices can be difficult and why advice for making good group choices can seem paradoxical. It also gives one justification as to why we should allow paradoxical advice; namely, the grea
From playlist Summer of Math Exposition Youtube Videos
Voting Theory: Insincere Voting / Strategic Voting
This video discusses insincere or strategic voting and how it can affect the outcome of an election. Site: http://mathispower4u.com
From playlist Voting Theory
Stuck in a Space Station, Black Holes' Habitable Zones, Human-Rated Starship | Q&A 210
Is there a habitable zone around a black hole? Can you get stuck in the middle of a big space station? How will Starship get human-rated? Why is the Fermi Paradox even a paradox? All this in this week's Q&A! 🦄 Support us on Patreon: https://patreon.com/universetoday 00:00 Start 01:03 [T
From playlist Fraser Cain / Universe Today Podcast
Voting Theory: Monotonicity Criterion Using Instant Runoff Voting
This video explains the Monotonicity Criterion and how it can affect the outcome of an election when using instant runoff voting. Site: http://mathispower4u.com
From playlist Voting Theory