Vote-ratio monotonicity (VRM) is a property of apportionment methods, which are methods of allocating seats in a parliament among political parties. The property says that, if the ratio between the number of votes won by party A to the number of votes won by party B increases, then it should NOT happen that party A loses a seat while party B gains a seat. The property was first presented in the context of apportionment of seats in a parliament among federal states. In this context, it is called population monotonicity or population-pair monotonicity. The property says that, if the population of state A increases faster than that of state B, then state A should not lose a seat while state B gains a seat. An apportionment method that fails to satisfy this property is said to have a population paradox. Note the term "population monotonicity" is more commonly used to denote a very different property of resource-allocation rules; see population monotonicity. Therefore, we prefer to use here the term "vote-ratio monotonicity", which is unambiguous. (Wikipedia).
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
This video defines a ratio and provides several examples on how to write a ratio and shows how to simplify a ratio. http://mathispower4u.wordpress.com/
From playlist Ratios and Rates
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...
Solving a proportion using the cross product ex 7, 8/5 = (4/3x)
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Examples related to Viterbo's conjectures - Michael Hutchings
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Examples related to Viterbo's conjectures Speaker: Michael Hutchings Affiliation: University of California, Berkeley Date: October 23, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
How to use the LCD to help us solve a rational equation
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Rational Equations
Powered by https://www.numerise.com/ Learn how to share in a given ratio, how to convert ratios to fractions and how to solve ration word questions. www.hegartymaths.com http://www.hegartymaths.com/
From playlist Basic Arithmetic & Numeracy
Information percolation for the Ising model - Eyal Lubetzky
Eyal Lubetzky New York University November 3, 2014 We introduce a new method of obtaining sharp estimates on mixing for Glauber dynamics for the Ising model, which, in particular, establishes cutoff in three dimensions up to criticality. The new framework, which considers ``information pe
From playlist Mathematics
Lec 6 | MIT 6.01SC Introduction to Electrical Engineering and Computer Science I, Spring 2011
Lecture 6: Designing Control Systems Instructor: Dennis Freeman View the complete course: http://ocw.mit.edu/6-01SCS11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.01SC Introduction to EECS I
Elias Koutsoupias: Game Theory 2/2 🎲 CERN
This lecture series will present the main directions of Algorithmic Game Theory, a new field that has emerged in the last two decades at the interface of Game Theory and Computer Science, because of the unprecedented growth in size, complexity, and impact of the Internet and the Web. These
From playlist CERN Academic Lectures
Lec 5 | MIT 6.01SC Introduction to Electrical Engineering and Computer Science I, Spring 2011
Lecture 5: Characterizing System Performance Instructor: Dennis Freeman View the complete course: http://ocw.mit.edu/6-01SCS11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.01SC Introduction to EECS I
Math Explorations Ep7, Unanimity & Dictatorship (Feb 1, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
Math Explorations Ep15, Exam 1 review (Section 1) (Feb 23, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
Solve a proportion by multiplying by the LCD ex 13, (2n - 9)/7 = (3 - n)/4
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve a Proportion
Math Explorations Ep6, IRV & Monotonicity (Jan 26, 2022)
This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting, gerrymandering, and graph theory. Handouts and homework are at the class website. Class web
From playlist Math 1015 (Mathematical Explorations) Spring 2022
Solve rational expressions by multiplying the LCD on both sides
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Proportions with Trinomials
Learning the easy way to solve a a rational equation by using the LCD
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for
From playlist How to Solve Proportions with Trinomials
Math for Liberal Studies - Lecture 2.2.2 May's Theorem
This is the second video lecture for Math for Liberal Studies Section 2.2: The Number of Candidates Matters. In this lecture, I discuss "fairness criteria" that we can use to analyze a method for finding the winner of an election with two candidates. Specifically, we discuss the anonymous,
From playlist Math for Liberal Studies Lectures