Apportionment method criteria

Vote-ratio monotonicity

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).

Video thumbnail

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

Video thumbnail

Ratios

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

Video thumbnail

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...

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Ratio (sharing questions)

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Related pages

Mathematics of apportionment | Population monotonicity | Highest averages method | Apportionment paradox | Balance (apportionment) | Homogeneous function