Fair random assignment (also called probabilistic one-sided matching) is a kind of a fair division problem.
In an assignment problem (also called house-allocation problem or one-sided matching), there are m objects and they have to be allocated among n agents, such that each agent receives at most one object. Examples include the assignment of jobs to workers, rooms to housemates, dormitories to students, time-slots to users of a common machine, and so on.
In general, a fair assignment may be impossible to attain. For example, if Alice and Batya both prefer the eastern room to the western room, only one of them will get it and the other will be envious. In the random assignment setting, fairness is attained using a lottery. So in the simple example above, Alice and Batya will toss a fair coin and the winner will get the eastern room.
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Fairrandomassignment (also called probabilistic one-sided matching) is a kind of a fair division problem. In an assignment problem (also called house-allocation...
Random priority (RP), also called Random serial dictatorship (RSD), is a procedure for fairrandomassignment - dividing indivisible items fairly among...
applications. One such application is for the problem of fairrandomassignment: given a randomized allocation of items, Birkhoff's algorithm can decompose...
apartment). Fair river sharing – dividing waters flowing in an international river among the countries along its stream. Fairrandomassignment – dividing...
profile is (3.5, 2). When the decision process is random, such as in fairrandomassignment or random social choice or fractional approval voting, there...
developed by Hervé Moulin and Anna Bogomolnaia as a solution for the fairrandomassignment problem, where the fraction that each agent receives of each item...
harmony - a fair division problem where indivisible items and a fixed total cost have to be divided simultaneously. Fairrandomassignment - a fair division...
ex-ante; see fairrandomassignment for other randomized mechanisms which are ex-ante PE. When each agent already owns a house, fairness considerations...
the larger population. Random Allocation in Experimental Design: Randomassignment of experimental units to treatment or control conditions is fundamental...
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which...
Moulin: 302–303 present an efficiency notion for the setting of fairrandomassignment (where the bundle rankings are additive, the allocations are fractional...
various psychological sources of bias.[citation needed] The randomness in the assignment of participants to treatments reduces selection bias and allocation...
definitions of randomness, typically assuming that there is some 'objective' probability distribution. In statistics, a random variable is an assignment of a numerical...
that the coin is fair). More commonly, probability distributions are used to compare the relative occurrence of many different random values. Probability...
Randomness has many uses in science, art, statistics, cryptography, gaming, gambling, and other fields. For example, randomassignment in randomized controlled...
the protocol that specifies the randomassignment of treatments to subjects; the protocol's description of the assignment mechanism should include a specification...
envy-freeness. Hosseini and Larson analyse the properties of rules for fairrandomassignment based on lexicographic dominance. Chakrabarty, Deeparnab; Swamy...
and on randomized solutions to assignment problems. With Hervé Moulin she formulated the probabilistic-serial procedure for solving the fairrandom assignment...
Additionally, the algorithm has no fairness guarantees. Other mechanisms for course allocation use fairrandomassignment. Kominers, Scott Duke; Ruberry,...
monetary transfers: Fair randomassignment - each agent should get a single object; fairness is attained using randomization. House allocation problem...
data are in effect a random sample of all the participants assigned a particular intervention. With MCAR, the randomassignment of treatments is assumed...
single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior...
k-SAT at all values of k. In the setting with many satisfying assignments the randomized algorithm by Schöning has a better bound. SAT solvers have been...
variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation (SD) is obtained as the square root of...
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