Cake-cutting | Fair division protocols

Proportional cake-cutting with different entitlements

In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality (WPR): there are several weights that sum up to 1, and every partner should receive at least a fraction of the resource by their own valuation. In contrast, in the simpler proportional cake-cutting setting, the weights are equal: for all Several algorithms can be used to find a WPR division. (Wikipedia).

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Can You Cut a Cake Into 8 Pieces With Three Cuts?

#shorts This video shows two ways to cut a cake into 8 pieces with just 3 cuts. https://mathispower4u.com

From playlist Math Shorts

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How To Split A Cake Fairly Using Math

How can 2 people split up a cake, knowing that each person wants to get a larger piece than the other? What about 3 people, or even N people? This is an example of a fair division problem from game theory. There are many cake-cutting algorithms to produce a fair solution mathematically. In

From playlist Everyday Math

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Understanding Dividing by a Fraction

This video provides several examples to deepen an understanding of what it means to divide by a fraction. It also shows 2 methods for dividing by a fraction. Site: http://mathispower4u.com

From playlist Multiplication and Division of Mixed Numbers

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Ex: Determine Equivalent Fractions

This video provides 3 examples of how to determine equivalent fractions. http://mathispower4u.com

From playlist Simplifying Fractions

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How to use SSS proportionality to show two triangles are similar

👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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How to determine equivalent ratios

👉 Learn all about multiplying and dividing fractions. In this playlist we will explore how to multiply and divide fractions when they are represented as mixed numbers or improper fractions. We will also explore how to simplify our fractions before and after the operation. 👏SUBSCRIBE to

From playlist How to Multiply Fractions

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Bologna: A History

The history of Bologna combines a distant past with modern inventions, immigration patterns, government regulations, and economic necessity, all to arrive at the boloney, mayo and American cheese on white bread staple that USA Today calls “a nutritionally dubious midday meal for millions o

From playlist History of food

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Princess Cake Solution

Mathematics of Fair Distribution using the Lone-Chooser Method. This example invloves a cake being shared by three players. Recall, that the cake is a metaphor for any continuously divisible item

From playlist Discrete Math

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Proportion- Revise Grade 4/5 - GCSE Maths Topic Revision (OnMaths.com)

Do the paper online: http://onmaths.com/mock_exams/proportion/ Topic Buster:Proportion Learn how to work with Proportions with GCSE maths questions. In this series, we look at all the grade 4 and 5 questions you may encounter on the higher and foundation GCSE maths paper. If you like th

From playlist Grade 5 Topic Busters

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Measuring a Wedge

More resources available at www.misterwootube.com

From playlist Trigonometry and Measure of Angles

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Equivalent Fractions

This video introduces equivalent fractions and also explains how to determine equivalent fractions.

From playlist Simplifying Fractions

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18. The "Political-not-Metaphysical" Legacy

Moral Foundations of Politics (PLSC 118) The mature Rawls departed quite a bit from his earlier theory of justice, choosing instead an overlapping consensus, or "political, not metaphysical" approach. Professor Shapiro argues that this is a significant departure from the Enlightenment t

From playlist The Moral Foundations of Politics with Ian Shapiro

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Julius Sumner Miller: Lesson 26 - Miscellaneous Adventures in Heat

The subject is filled with DRAMA. NATURE is wonderful to contemplate. A. We do an old classic - boil water in a tin can - stopper it up - and the atmosphere does its stuff! Incredible really. I suppose I have done this very adventure ten thousand times and it never fails to stir me. Wh

From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations

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Season for Trees - Still Untitled: The Adam Savage Project - 11/20/18

Adam and Will are joiend by Kayte Sabicer this week to talk about their plans for the upcoming Thanksgiving holiday, Adam's preproduction for his next show, and making things out of tree stumps. Plus, a few new competition show recommendations. To subscribe to Still Untitled, check out o

From playlist The Adam Savage Project

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Algebra For Kids - Fractions

This series of videos is an introduction to Algebra, with 3rd and 4th graders in mind, and all other math enthusiasts! In this video, we introduce fractions and we show how to add them. *** Please consider donating to charities that are taking care of those in need! Feeding America: https

From playlist Algebra for Kids

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The Scientific Way to Cut a Cake - Numberphile

The man who loved circles (Objectivity): https://youtu.be/AzmUCL1OHhs Support us on Patreon: http://www.patreon.com/numberphile A trilogy of mathematical cake cutting videos... http://bit.ly/CakeCuttingTrilogy More links & stuff in full description below ↓↓↓ Alex Bellos on cutting a cake

From playlist Alex Bellos on Numberphile

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Algebraic inverse proportion 1

Powered by https://www.numerise.com/ Algebraic inverse proportion 1

From playlist Proportion

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Three ways to solve a proportion

This is a short video tutorial on three ways to solve a proportion. For interactive applets, worksheets, and more videos go to http://www.mathvillage.info

From playlist All about ratios and proportions

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Two Candles, One Cake - Numberphile

Featuring Ben Sparks. See part 2 at https://youtu.be/l5gUrDg01cQ More links & stuff in full description below ↓↓↓ Ben Sparks Numberphile playlist: http://bit.ly/Sparks_Playlist Ben on the Numberphile Podcast: https://youtu.be/-tGni9ObJWk Ben's website: https://www.bensparks.co.uk Ben's o

From playlist Ben Sparks on Numberphile

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How to use proportionality of a triangle to determine if two lines are parallel

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divi

From playlist Similar Triangles within Triangles Solve for x

Related pages

Robertson–Webb query model | Proportional cake-cutting | Euclidean algorithm | Ramsey theory | Fair cake-cutting | Stromquist–Woodall theorem | Exact division | Intermediate value theorem | Envy-free cake-cutting