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.
Fairdivision 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...
This page lists notable open problems related to fairdivision - a field in the intersection of mathematics, computer science, political science and economics...
Strategic fairdivision studies problems of fairdivision, in which participants cooperate to subdivide goods or resources fairly, from a point of view...
Various experiments have been made to evaluate various procedures for fairdivision, the problem of dividing resources among several people. These include...
(WNBA). Fair was the 16th overall pick in the 2024 draft. She played college basketball at Syracuse. She is currently third place all time NCAA Division I women's...
first appears in. Deficit round robin Fairness measure Max-min fairness Scheduling algorithm Statistical time division multiplexing Weighted round robin Parekh...
the tangencies of Ford circles. Unit fractions are commonly used in fairdivision, and this familiar application is used in mathematics education as an...
Online fairdivision is a class of fairdivision problems in which the resources, or the people to whom they should be allocated, or both, are not all...
A proportional division is a kind of fairdivision in which a resource is divided among n partners with subjective valuations, giving each partner at...
access to resources formally rated by a fairness measure In game theory, abstract principles for achieving fairdivision In economics, relation among economic...
Fair river sharing is a kind of a fairdivision problem in which the waters of a river has to be divided among countries located along the river. It differs...
Fairdivision among groups (or families) is a class of fairdivision problems, in which the resources are allocated among groups of agents, rather than...
is not merely one of calculation; it also involves deciding what a "fair" division actually is. Luca Pacioli considered such a problem in his 1494 textbook...
Fair item allocation is a kind of the fairdivision problem in which the items to divide are discrete rather than continuous. The items have to be divided...
Problems in philosophy Unsolved problems in economics Unsolved problems in fairdivision Cold case (unsolved crimes) List of ciphertexts List of hypothetical...
discrete values. Several paradoxes related to apportionment, also called fairdivision, have been identified. In some cases, simple post facto adjustments...
Fairdivision of a single homogeneous resource is one of the simplest settings in fairdivision problems. There is a single resource that should be divided...
In the theory of fairdivision, the price of fairness (POF) is the ratio of the largest economic welfare attainable by a division to the economic welfare...
Dominant resource fairness (DRF) is a rule for fairdivision. It is particularly useful for dividing computing resources in among users in cloud computing...
Proportional division, a kind of fairdivision Percentage, a number or ratio expressed as a fraction of 100 Proportional fonts Proportionally fair, a scheduling...
choose (also Cut and choose or I cut, you choose) is a procedure for fairdivision of a continuous resource, such as a cake, between two parties. It involves...
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