Online Fair Division
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Online Fair Division
Online fair division is a class of fair division problems in which the resources, or the people to whom they should be allocated, or both, are not all available when the allocation decision is made. Some situations in which not all resources are available include: * Allocating food donations to charities (the "food bank" problem). Each donation must be allocated immediately when it arrives, before future donations arrive. * Allocating donated blood or organs to patients. Again, each donation must be allocated immediately, and it is not known when and what future donations will be. Some situations in which not all participants are available include: * Dividing a cake among people in a party. Some people come early and want to get a cake when they arrive, but other people may come later. * Dividing the rent and rooms among tenants in a rented apartment, when one or more of them are not available during the allocation. The online nature of the problem requires different techniques ...
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Fair Division
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 exten ...
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