Fair division among groups (or families) is a class of fair division problems, in which the resources are allocated among groups of agents, rather than among individual agents. After the division, all members in each group consume the same share, but they may have different preferences; therefore, different members in the same group might disagree on whether the allocation is fair or not. Some examples of group fair division settings are: * Several siblings inherited some houses from their parents and have to divide them. Each sibling has a family, whose members may have different opinions regarding which house is better. * A partnership is dissolved, and its assets should be divided among the partners. The partners are firms; each firm has several stockholders, who might disagree regarding which asset is more important. * The university management wants to allocate some meeting-rooms among its departments. In each department there are several faculty members, with differing opinions about which rooms are better. * Two neighboring countries want to divide a disputed region among them. The citizens in each country differ on which parts of the region are more important. This is a common obstacle to resolving international disputes. * The "group of agents" may also represent different conflicting preferences of a single person. As observed in behavioral economics, people often change their preferences according to different frames of mind or different moods. Such people can be represented as a group of agents, each of whom has a different preference. In all the above examples, the groups are fixed in advance. In some settings, the groups can be determined ad-hoc, that is, people can be grouped based on their preferences. An example of such a setting is: * Some 30 people want to use the local basketball court. Each game involves 10 players with different preferences regarding which time is better. It is required to partition the time of day into 3 parts and partition the players into 3 groups and assign a group to each time-slot. (Wikipedia).
This video introduced fair division. 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
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
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
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
More resources available at www.misterwootube.com
From playlist Data Collection & Representation
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
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
Fair Division: The Divider-Chooser Method
The video explains the divider-chooser method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
We designed special dice using math, but there’s a catch
How would you order the players randomly? Tell us in the comments. :) Some proposals that already appeared in the comments section: - Put cards with player names in a sack, shuffle, then take them out one by one to get the order. - Simulate the above process using dice (see the comments
From playlist Prob and Stats
22. The Impact of Evolutionary Thought on the Social Sciences
Principles of Evolution, Ecology and Behavior (EEB 122) There is a distinct possibility that humans are currently part way through an evolutionary transition between individuals and groups. The conflict between these two units of selection and levels of organization, between biology and
From playlist Evolution, Ecology and Behavior with Stephen C. Stearns
Use the Method of Markers to find a fair distribution of goods among four players. The Method of Markers is a technique used to distribute many items of nearly equal value among the players involved in the game.
From playlist Discrete Math
Foundations of Liberal Equality P2 - Ronald Dworkin (1988)
Ronald Dworkin gives the second Tanner lecture on the foundations of liberalism. 00:00 Talk 1:07:23 Q&A #Philosophy #Ethics #PoliticalPhilosophy
From playlist Social & Political Philosophy
WWII Footage: Nazi Concentration Camps
From playlist Footage: World War II
2019 Trusted CI Fellows Virtual institute Speaker Kevin Thompson
Kevin Thompson serves as a Program Director in NSF's Advanced Network Infrastructure and Research (ANIR) division of CISE. He is responsible for the NSF Middleware Initiative program and the Experimental Infrastructure Networks program. He started at NSF in January, 2003. Prior to NSF, Mr.
From playlist Center for Applied Cybersecurity Research (CACR)
Division using the quotitive method
There are two ways to interpret division facts: partitive and quotitive. In this video we talk about quotitive...also know as measurement...in which the size of each group is known, but the number of groups is unknown. This is for our CK12 project: https://flexbooks.ck12.org/user:zghhymvj
From playlist All About Whole Numbers
Titles read: 'WORLD OF BRILLIANCE'. Charles Street in Mayfair, London, shows building with Union Jack and American flags hanging outside. Models get out of taxi and go inside. C/U of white door with 'Lurex House' in gold letters on the front - this is the overseas headquarters of Dobeck
From playlist Fashion of Yesteryear | British Pathé