Mathematical optimization | Fairness criteria

Proportional-fair rule

In operations research and social choice, the proportional-fair (PF) rule is a rule saying that, among all possible alternatives, one should pick an alternative that cannot be improved, where "improvement" is measured by the sum of relative improvements possible for each individual agent. It aims to provide a compromise between the utilitarian rule - which emphasizes overall system efficiency, and the egalitarian rule - which emphasizes individual fairness. The rule was first presented in the context of rate control in communication networks. However, it is a general social choice rule and can also be used, for example, in resource allocation. (Wikipedia).

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Introduction to Fair Division

This video introduced fair division. Site: http://mathispower4u.com

From playlist Fair Division

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Proportionality

Proportionality

From playlist ck12.org Algebra 1 Examples

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(ML 7.3) Proportionality

Any function proportional to a PMF or PDF uniquely determines it. Using proportionality is a extremely useful trick when doing Bayesian inference.

From playlist Machine Learning

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Fair Division: The Sealed Bid Method

This video explains and provides examples of how to apply the sealed bid method. Site: http://mathispower4u.com

From playlist Fair Division

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Voting Theory: Fairness Criterion

This video define 4 Fairness Criterion for determining the winner of an election. Site: http://mathispower4u.com

From playlist Voting Theory

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Math for Liberal Studies - Lecture 2.8.1 Weighted Voting Systems

This is the first video for Math for Liberal Studies Section 2.8: Weighted Voting Systems. In this video, I talk about the basic definitions and notation for weighted voting systems. In these systems, the voters are treated unequally. This may seem unfair, but there are many real-world exa

From playlist Math for Liberal Studies Lectures

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Z Test of a Proportion Write Up

Calculations, conclusions, and write up for a Z Test on an unknown population proportion [in accordance with AP Statistics requirements]

From playlist Unit 8: Hypothesis Tests & Confidence Intervals for Single Means & for Single Proportions

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How to use the LCD to help us solve a rational equation

๐Ÿ‘‰ 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

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Mathematics Public Lecture Moon Duchin

Political Thicket, Mathematical Quagmire: How voting is and is not a math problem

From playlist Mathematics Research Center

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Evaluating Fairness in Redistricting by Jon Mattingly

Program Advances in Applied Probability II (ONLINE) ORGANIZERS: Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE: 04 January 2021 to 08 Januar

From playlist Advances in Applied Probability II (Online)

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How to apply the power to power rule with rational exponents

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From playlist Raise an Exponent to a Fraction

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Teaching the power of product rule without talking

๐Ÿ‘‰ Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which

From playlist Simplify Using the Rules of Exponents

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"Ariadne's Secret Boyfriend!" - Socrates Jones Part V

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From playlist Let's Play Socrates Jones

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Noa Dagan - Can we improve fairness for subpopulations by utilizing medical data? Pt. 1/2

Recorded 14 July 2022. Noa Dagan of Harvard Medical School presents "Can we improve fairness for subpopulations by utilizing medical data?" at IPAM's Graduate Summer School on Algorithmic Fairness. Abstract: Medical data can be utilized to promote proactive, predictive, and personalized ca

From playlist 2022 Graduate Summer School on Algorithmic Fairness

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Stanford Seminar: A Computational Approach to Criminal Justice

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From playlist Stanford Seminars

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Sampling & Probability | Learning Statistics: Concepts and Applications in R | The Great Courses

Data is being recorded all around us literally all the time to predict the future. So why is the weather forecast wrong so often? It's because the fundamentals of statistics are uncertainty and variation. Point at a map and guess with the best of them or learn statistics in R. Presented b

From playlist Math and Statistics

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ISPS DEMOCRACY SERIES: Rethinking Political Representation

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From playlist The Institution for Social and Policy Studies (ISPS)

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Earl Nightingale - STOP doing what POOR people DO

#earlnightingale #secret #motivation #motivational #motivationalvideo You may like this as well: https://youtu.be/jCiZTFlHgOI Earl Nightingale V (March 12, 1921 โ€“ March 25, 1989) was an American radio speaker and author, dealing mostly with the subjects of human character development, mo

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CERIAS Security: Exploiting Opportunistic Scheduling in Cellular Data Networks 4/5

Clip 4/5 Speaker: Hao Chen ยท Assistant Professor ยท University of California, Davis Third Generation (3G) cellular networks utilize time-varying and location-dependent channel conditions to provide broadband services. They employ opportunistic scheduling to efficiently utilize spectrum un

From playlist The CERIAS Security Seminars 2008

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Applying the rules of exponents to simplify an expression with numbers

๐Ÿ‘‰ Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which

From playlist Simplify Using the Rules of Exponents

Related pages

Proportional-fair scheduling | Utilitarian rule | Egalitarian rule | Social choice theory | Operations research | Utility