Fair division is the problem in game theory of dividing a set of resources among several people who have an entitlement to them so that each person receives their due share. That problem arises in various real-world settings such as division of inheritance, partnership dissolutions, divorce settlements, electronic frequency allocation, airport traffic management, and exploitation of Earth observation satellites. It is an active research area in mathematics, economics (especially social choice theory), dispute resolution, etc. The central tenet of fair division is that such a division should be performed by the players themselves, maybe using a mediator but certainly not an arbiter as only the players really know how they value the goods. The archetypal fair division algorithm is divide and choose. It demonstrates that two agents with different tastes can divide a cake such that each of them believes that he got the best piece. The research in fair division can be seen as an extension of this procedure to various more complex settings. There are many different kinds of fair division problems, depending on the nature of goods to divide, the criteria for fairness, the nature of the players and their preferences, and other criteria for evaluating the quality of the division. (Wikipedia).
This video introduced fair division. Site: http://mathispower4u.com
From playlist Fair Division
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
Fair Division: The Lone Divider Method
This video explains and provides an example of the lone divider method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
Fair Division: The Moving Knife Method
This video explains and provides an example of the moving knife method. Site: http://mathispower4u.com
From playlist Fair Division
Division using the partitive method
There are two ways to think of division: partitive and quotitive. This video shows how to visualize the partitive method also known as "fair sharing". We made this video for our CK12 project: https://flexbooks.ck12.org/user:zghhymvja2vyqg1jb2uub3jn/cbook/math-grade-3-mcoe/section/3.1/prim
From playlist All About Whole Numbers
Fair Division: The Last Diminisher Method
This video explains and provides an example of the last diminisher method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
The Divider-Chooser Method of Fair Division - Why It Is Meant For Only 2 Players
This video explains why the divider-chooser method is meant for only 2 players. Site: http://mathispower4u.com
From playlist Fair Division
Maker Faire 2011: How To Pick a Lock
Norm learns the secrets of lock picking from The Open Organisation of Lockpickers.
From playlist Maker Faire
Tested.com at Maker Faire 2011
Will and Norm run wild at this year's Bay Area Maker Faire--here are the highlights! http://www.tested.com
From playlist Maker Faire
Fair Division: The Divider-Chooser Method
The video explains the divider-chooser method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
Using topology to solve a counting riddle | The Borsuk-Ulam theorem and stolen necklaces
Solving a discrete math puzzle using topology. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/borsuk-thanks Home page: https://www.3blue1brown.com
From playlist Neat proofs/perspectives
NYT: Sperner's lemma defeats the rental harmony problem
TRICKY PROBLEM: A couple of friends want to rent an apartment. The rooms are quite different and the friends have different preferences and different ideas about what's worth what. Is there a way to split the rent and assign rooms to the friends so that everybody ends up being happy? In t
From playlist Recent videos
Splitting Rent with Triangles | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi You can find out how to fairly divide rent between three different people even when you don’t know the third person’s preferences! Find out how with Sperner’s Lemma. T
From playlist An Infinite Playlist
Deciles and Percentiles (1 of 2: Outline of various ways of breaking data up into equal groups)
More resources available at www.misterwootube.com
From playlist Data Analysis
Henry Adams (9/3/20): Fair division
Title: Fair division Abstract: Suppose five roommates need to pay $3,000 dollars of rent per month for their five-bedroom apartment. The five bedrooms are not equivalent: one is bigger, one is smaller, one has more windows, one is closer to the kitchen, one is painted neon green. So it is
From playlist AATRN 2020