For the scheduling algorithm, see proportional-fair scheduling.
For the social choice rule, see proportional-fair rule.
A proportional division is a kind of fair division in which a resource is divided among n partners with subjective valuations, giving each partner at least 1/n of the resource by his/her own subjective valuation.
Proportionality was the first fairness criterion studied in the literature; hence it is sometimes called "simple fair division". It was first conceived by Steinhaus.[1]
^Steinhaus, Hugo (1948). "The problem of fair division". Econometrica. 16 (1): 101–104. JSTOR 1914289.
and 18 Related for: Proportional division information
A proportionaldivision is a kind of fair division in which a resource is divided among n partners with subjective valuations, giving each partner at least...
proportions Proportionaldivision, a kind of fair division Percentage, a number or ratio expressed as a fraction of 100 Proportional fonts Proportionally fair...
A strongly proportionaldivision (sometimes called super-proportionaldivision) is a kind of a fair division. It is a division of resources among n partners...
Proportional representation (PR) refers to any type of electoral system under which subgroups of an electorate are reflected proportionately in the elected...
Proportional fairness may refer to: Proportionaldivision - a division of a resource among n {\displaystyle n} partners such that each partner receives...
the eyes of all agents in all groups. For example: A division is called unanimously-proportional if every agent in every group values his/her group's...
V_{i}(C)/n} for all i. A super-proportionaldivision is one where each player receives strictly more than 1/n (such a division exists only if the players...
g., game theory) and other areas of the social sciences, where proportionaldivision and allocation of resources plays a central part of the analysis...
implies that unanimous-proportionaldivision requires at least n-1 cuts, and that finding an approximate unanimous-proportionaldivision is PPA-hard. For every...
valuations. A proportionaldivision of such a cake always exists. What is the runtime complexity of calculating a connected-proportional allocation of...
≥ V i ( M ) / n {\displaystyle V_{i}(X_{i})\geq V_{i}(M)/n} . A proportionaldivision may not exist. For example, if the number of people is larger than...
discard the current division and make a new proportionaldivision (e.g. using the last diminisher protocol). In a proportionaldivision, every partner receives...
different parts of the cake. It allows the n people to achieve a proportionaldivision, i.e., divide the cake among them such that each person receives...
Fair cake-cutting: consider the problem of creating a partially proportionaldivision of a heterogeneous resource among n {\displaystyle n} people, such...
District representatives may be elected by a first-past-the-post system, a proportional representative system, or another voting method. They may be selected...
other electoral systems attempt to combine the benefits of non-proportional and proportional systems. The study of formally defined electoral methods is...
the problem definition to three or more people, by inviting the proportionaldivision criterion. Foreword to "One hundred problems in elementary mathematics"...
or, proportionally, 5 : 1. {\displaystyle 5:1.} To scale this recipe to larger or smaller quantities of cake, a ratio of flour to sugar proportional to...
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